By analyzing the segmented income statement, Millard Corporation can identify which sales regions are contributing to the overall losses and focus on improving their performance.
We analyze the segmented income statement for Millard Corporation.
Based on the given information, the company distributes office products to three sales regions:
West, Central, and East. Each region has its own manager and sales staff.
To prepare a segmented income statement for May, the company should follow these steps:
Identify the revenue generated by each sales region.
This can be found by tracking the sales from each region and recording them separately.
Allocate direct costs to each sales region.
Direct costs are those that can be directly traced to each region, such as the salaries of the regional manager and sales staff.
Allocate indirect costs to each sales region.
Calculate the contribution margin for each sales region by subtracting the direct costs from the revenue.
This will show the profitability of each region before accounting for the indirect costs.
Subtract the allocated indirect costs from the contribution margin to determine the operating income (or loss) for each sales region.
This information will also help management make informed decisions on resource allocation, budgeting, and strategic planning for the future.
For similar question on segmented income statment
https://brainly.com/question/14478135
#SPJ11
Given E is the midpoint of AC. complete the flowchart proof below. Note that the
last statement and reason have both been filled in for you.
1. The reason is that E bisects line AC and is perpendicular to line AC.
2. The reason is that the angles are alternate interior angles.
What are alternate interior angles?
Alternate interior angles are made when a transversal joins two co-planar lines. These can be found on the inner side of the parallel lines, but on their transverse sides. The transversal goes through the two co-planar lines at two separate points.
1. We are given a statement that E is the midpoint of AC.
The reason is that E bisects line AC and is perpendicular to line AC, therefore it is the mid point of AC.
2. We are given that ∠D ≅ ∠B.
The reason is that DC ║ AB. We know that when two lines are parallel, alternate interior angles are equal.
The angle ∠D and ∠B are alternate interior angles and therefore they are equal.
Hence, the required solutions have been obtained.
Learn more about alternate interior angles from the given link
https://brainly.com/question/20344743
#SPJ9
The complete question has been attached below.
A random sample of 125 purchases from a particular pharmacy was taken. The type of item purchased was recorded, and a table of the data was created.
Item Purchased Health & Medicine Beauty Household Grocery
Number of Purchases 27 17 25 56
Which graphical representation would be best to display the data?
Circle graph
Box plot
Scatter plot
Histogram
A circle graph would be best to display the data.
A circle graph, also known as a pie chart, is useful for displaying categorical data where the parts represent a percentage of a whole. In this case, the whole is the total number of purchases, which is 125. The different types of items purchased can be represented as sections of a circle, with the size of each section proportional to the percentage of purchases that fall into that category. A circle graph would allow the viewer to easily see the relative frequency of each category in the data set.
Box plots, scatter plots, and histograms are all graphical representations that are better suited for displaying continuous data, rather than categorical data.
To learn more about circle graph, here
https://brainly.com/question/13298277
#SPJ1
SOME PLEASE HELP IVE BEEN STRUGGLING!!!!!!! MIDDLE SCHOOL MATH BTW !!!!
In the figure below, what is m∠ABE, in degrees?
PLEASE LOOK AT THE PICTURE BELOW!!!!! I REALLY NEED HELP!!! SHOW WORK!!!!!!!!!!!!
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 154 adult
males, the mean pulse rate is 69.5 bpm and the standard deviation is 11.4 bpm. Find the value of the test statistic.
The value of the test statistic is
(Round to two decimal places as needed.)
According to the question the value of the test statistic [tex]0.55[/tex]
What is standard deviation?Data variation from the mean is referred to as "standard deviation." If the standard deviation appears low, the data tend to cluster around the mean; on the other hand, if it appears large, the data are widely spread.
The data deviate from the mean value is indicated by the standard . It is useful for contrasting huge datasets with distinct ranges but the same mean.
The other, though, is without a doubt more spread. The standard deviation reveals the degree of data dispersion. It describes how far away from the mean each number obtained is.
We must compute the t-score, which is represented by: in order to determine the value of the test statistic.
[tex]t = x -[/tex] μ[tex]/(s/\sqrt{n}[/tex]
s= sampling standard deviation, n= sample size,[tex]x=[/tex] sampling rate μ = population mean
[tex]x = 69.5 bpm,[/tex] μ[tex]= 69 bpm, s = 11.4 bpm, n = 154[/tex]
[tex]t = (69.5- 69)/ 11.4/\sqrt{154} \\t = 0.5/ (11.4/12.4)\\t = 0.5/ 0.917\\t = 0.546[/tex]
Therefore the value of the test statistics is [tex]0.55[/tex]
Learn more about standard deviation
https://brainly.com/question/23907081
#SPJ1
Fiona had 3 kg of spinach.1/2 kg of spinach was sold to Mrs Simon and the rest were packed equally into 3 bags. Find the mass of each bag of spinach.
Answer:
Each bag of spinach weighs 0.833 kg or approximately 833 grams
Step-by-step explanation:
Fiona had 3 kg of spinach. She sold 1/2 kg of spinach to Mrs. Simon, which leaves her with:
3 kg - 1/2 kg = 2.5 kg
Fiona packed the remaining 2.5 kg of spinach equally into 3 bags. To find the mass of each bag of spinach, we can divide the total amount of spinach by the number of bags:
2.5 kg ÷ 3 = 0.833 kg
therefore, Each bag of spinach weighs 0.833 kg or approximately 833 grams
6 cm 10 m 3 m 4 m The front of Mr. Smith's house is shown in the picture above. (a) What is the area of the shaded triangle?
The base and height could also be converted to meters to maintain consistency in units, resulting in an area of 0.3 square meters
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To calculate the area of the shaded triangle, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Given that the base of the triangle is the width of the rectangle, which is 6 cm, and the height is the diagonal line connecting the top corners of the rectangle, which is 10 m, we can now substitute these values into the formula and calculate the area of the shaded triangle.
Converting the height to centimeters for consistency:
Height = 10 m * 100 cm/m = 1000 cm
Plugging in the values:
Area = 1/2 * 6 cm * 1000 cm = 3000 cm²
So, the area of the shaded triangle is 3000 square centimeters. Please note that it's important to use consistent units when performing calculations, so make sure to convert measurements to the same unit if necessary. In this case, we converted the height to centimeters to match the units of the base, which was given in centimeters.
Therefore, the base and height could also be converted to meters to maintain consistency in units, resulting in an area of 0.3 square meters.
To learn more about triangle from the given link:
https://brainly.com/question/2773823
#SPJ1
5. Judy isn't sure whether a credit card using the average daily balance method, a credit card using the previous balance method, or a credit card using the adjusted balance method is right for her. Regardless of the method used, Judy's APR will
be 26%. Her last 30-day billing cycle was typical for her, so she decided to
calculate the amount of interest charged by each method to compare them. The opening balance of her last 30-day billing cycle was $930, and it remained that amount for the first 10 days of the billing cycle. She then made a purchase for $550, so her balance jumped to $1480, and it remained that amount for the next 10 days. Judy then made a payment of $790, so her balance for the last 10
days of the billing cycle was $690. Help Judy decide which method is best for her based on her last 30-day billing cycle.
Part III: If Judy's credit card had used the previous balance method, how much would she have been charged in interest for her last 30-day billing cycle?
Part IV: If Judy's credit card had used the adjusted balance method, how much would she have been charged in interest for her last 30-day billing cycle?
It appears that the "adjusted balance method" would be best for Judy, as it results in no interest charged for this billing cycle.
What is an interest ?
To calculate the interest charged by each method, we need to determine the average daily balance for the billing cycle, which is calculated as the sum of each day's balance divided by the number of days in the billing cycle.
For the opening balance of $930 that remained for the first 10 days, the average daily balance is:
($930 x 10 days) / 30 days = $310
For the balance of $1480 that remained for the next 10 days, the average daily balance is:
($1480 x 10 days) / 30 days = $493.33
For the balance of $690 that remained for the last 10 days, the average daily balance is:
($690 x 10 days) / 30 days = $230
Part III: Previous balance method
The previous balance method calculates the interest charged on the balance at the end of the previous billing cycle. For Judy's last 30-day billing cycle, the previous balance was $930. Therefore, the interest charged for the previous balance method would be:
$930 x (26%/365) x 30 days = $16.44
Part IV: Adjusted balance method
The adjusted balance method calculates the interest charged on the balance at the end of the billing cycle after subtracting any payments made during the billing cycle. For Judy's last 30-day billing cycle, the adjusted balance would be:
$690 - $790 = -$100
Since Judy made a payment that exceeded her balance, there is no balance on which to charge interest for the adjusted balance method.
Based on these calculations, it appears that the adjusted balance method would be best for Judy, as it results in no interest charged for this billing cycle.
To know more about interest, visit:
https://brainly.com/question/29480777
#SPJ1
the answer to number 6 pls
Answer:
L= 18j^5k^10
Step-by-step explanation:
A = L x W
144j⁹k¹⁵=8j⁴k⁵(L)
L= 144j⁹k¹⁵
8j⁴k⁵
L= 18j^5k^10
Answer:
[tex]18 {j}^{5} {k}^{10} [/tex]
Step-by-step explanation:
Given:
[tex]a (area) = 144 {j}^{9} {k}^{15} [/tex]
[tex]w(width) = 8 {j}^{4} {k}^{5} [/tex]
Find: l (length) - ?
.
In order to find the length, we have to divide the area from the width (since a = w × l):
.
[tex]l = \frac{144 {j}^{9} {k}^{15} }{8 {j}^{4} {k}^{5} } = \frac{18 {j}^{9} {k}^{15} }{ {j}^{4} {k}^{5} } = 18 {j}^{5} {k}^{10} [/tex]
Use power properties (when dividing equal bases raised to different powers, power indicators are subtracted)
Which of the following gives the correct range for the graph? A coordinate plane with a segment going from the point negative 3 comma 2 to 0 comma 1 and another segment going from the point 0 comma 1 to 5 comma negative 4. −4 ≤ x ≤ 2 −3 ≤ x ≤ 5 −4 ≤ y ≤ 2 −3 ≤ y ≤ 5
-3 ≤ x ≤ 5 and -4 ≤ y ≤ 2. gives the correct range for the graph.
The correct range for the graph can be determined by looking at the minimum and maximum values of the x and y coordinates of all the points on the graph.
For the given coordinate plane with two line segments, the x-coordinates range from -3 to 5, which means -3 ≤ x ≤ 5. The y-coordinates range from 1 to 2 (on the first segment) and from -4 to 1 (on the second segment), which means -4 ≤ y ≤ 2.
Therefore, the correct range for the graph is -3 ≤ x ≤ 5 and -4 ≤ y ≤ 2.
So, the answer is -3 ≤ x ≤ 5 and -4 ≤ y ≤ 2.
To know more about graph visit:
https://brainly.com/question/17267403?
#SPJ1
Find area and perimeter
Answer:
Area = π+4
Perimeter = 4π+4
Step-by-step explanation:
1) The two semi-circles make one whole circle
2) one square.
Area
1) formula for the area of a circle = [tex]r^{2}\pi[/tex]
The diameter is 2 which means the radius is 1
so the area of the circle is equal to π
2) to find the area of a square you multiply the sides
2x2=4
So to find the total area you add [tex]\pi +4[/tex]
which leaves us with [tex]\pi +4[/tex]
Perimeter
1) the formula for the perimeter of a circle = [tex]2\pi r[/tex]
Since the radius is 1
the perimeter of both circles is 4π
2) to find the perimeter of only part of the square (two sides), you have to add them together
2+2=4
So the total perimeter is 4π+4
(b) What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your
answer to four decimal places.)
0.3653
x
(c) What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within week of the population mean? (Round your
answer to four decimal places.)
The probability is [tex]0.0922 approx[/tex] [tex]9.22%[/tex]%
What do you mean by probability?Probability theory is an area of mathematics that determines the likelihood that an event will occur or a claim will be true.
The probability of an event is a number between[tex]0[/tex] and [tex]1[/tex], where [tex]0[/tex] is the likelihood of the event occurring and [tex]1[/tex] is the chance that it will happen.
The probability that a certain event will occur is simply represented numerically as a probability.
The percentages [tex]0%[/tex]% to [tex]100%[/tex]% or even[tex]0[/tex] to[tex]1[/tex] can be used to express probabilities.
The probability of occurrence in an entire set of equally likely possibilities that results in a particular event divided by the number of outcomes.
We need to know the standard deviation of the sampling distribution of the mean in order to calculate the likelihood that the sample mean will be within one week of the population mean.
The standard error of the mean can be calculated as follows if the population standard deviation is known:
These steps are used to compute standard error: sample size squared / standard deviation of the population
If the sample standard deviation is unavailable, we can estimate the population standard deviation and compute the standard error of the mean as follows:
These steps are used to compute standard error: sample size squared / standard deviation of the population
If we assume that the population's standard deviation is [tex]1[/tex], we can use the standard error of both the mean formula to determine
The probability that a simple random sample of [tex]55[/tex] unemployed people will somehow generate a sample mean that is within one week of the population average. In this context, "within one week" means within one standard error of something like the population mean, or one.
The standard error of the mean for a sample size of [tex]55[/tex]
Standard error =[tex]\frac{1}{\sqrt{55} }[/tex]
error ≈[tex]0.1348[/tex]
To find the probability that a sample mean is within one standard deviation of the population mean, we can use the standard normal distribution with a mean of [tex]0[/tex] and a standard deviation of [tex]1[/tex].
We want to find the probability that a z-score is between [tex]-1 and 1[/tex], which represents one standard deviation from the mean.
This chance is roughly [tex]0.6827[/tex], as determined by a calculator or a conventional normal distribution table.
In light of this, the probability that a straightforward random sample of [tex]55[/tex] unemployed people will yield a possession of tiny sums that is close to the population mean in just one week is approximately:
[tex]0.6827*0.1348= 0.0922[/tex](rounded to four decimal places) (rounded to four decimal places)
Therefore , the probability is [tex]0.0922[/tex], or roughly[tex]9.22%[/tex]%.
https://brainly.com/question/11234923
#SPJ1
What square root best approximates the point on the graph?
A number line going from 0 to 9. A point is slightly to the right of 5.
StartRoot 5 EndRoot
StartRoot 15 EndRoot
StartRoot 28 EndRoot
StartRoot 53 EndRoot
Answer:
The correct option is C. The best approximate for the given graph is [tex]\sqrt{28}[/tex].
Step-by-step explanation:
From the given graph it is noticed that the point lies between 5 and 6.
Let the square root of x is the best approximate for the given graph.
[tex]5 < \sqrt{x} < 6[/tex]
Taking square on each side.
[tex]5^2 < (\sqrt{x})^2 < 6^2[/tex]
[tex]25 < x < 36[/tex]
It means the value of x lies between 25 to 36 and the graph represents the approximate value between [tex]\sqrt{25}[/tex] to [tex]\sqrt{36}[/tex].
Therefore best approximate for the given graph is [tex]\sqrt{28}[/tex]. Option C is correct.
Find the product. (EASY! 10 Points)
Answer:
C
Step-by-step explanation:
Helping in the name of Jesus.
Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. DUE NOWW HELP
Question 1
How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Responses
A 24 2/3
B. 25 2/3
C. 25 1/3
D. 24 1/3
Question 2
How many more pounds of milk chocolate were sold than white chocolate at the candy store last week?
Responses
A. 19 2/3
B. 18
C. 19
D. 18 2/3
Answer:
Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C
Step-by-step explanation:
An electronic book has a file size of 2.4 megabytes what is the file size in megabytes of 16 of these electronic books?
Answer:
38.4 megabytes for 16 electronic books
Step-by-step explanation:
2.4 megabytes per electronic book
2.4 megabytes x 16 electronic books = 38.4 megabytes
0. A good is worth K2 500 cash. It can also be purchased by K200 deposit and monthly instalments of K103.50 for 2 years in hire purchase. What is the interest charged on hire purchase? (1 mark)
If good is worth K2 500 cash and it can also be purchased by K200 deposit and monthly instalments of K103.50 for 2 years in hire purchase, the interest charged on hire purchase is K184.
To find the interest charged on the hire purchase, we need to compare the total amount paid through hire purchase to the cash price of the good.
The monthly instalments are K103.50 and the hire purchase term is 2 years, so the total amount paid through hire purchase is:
K103.50/month × 24 months = K2,484
In addition, there is a deposit of K200, so the total amount paid through hire purchase and deposit is:
K2,484 + K200 = K2,684
Since the cash price of the good is K2,500, the interest charged on hire purchase is:
K2,684 - K2,500 = K184
In summary, if someone wants to purchase the good through hire purchase, they need to pay a deposit of K200 and monthly instalments of K103.50 for 2 years. The total amount paid through hire purchase and deposit is K2,684, and the interest charged on hire purchase is K184.
To learn more about interest click on,
https://brainly.com/question/23508113
#SPJ1
You are instructed to package chocolate boxes with a total weight of 500 grams each. However, due to natural variation in the weight of the chocolates, the total weight of each box is likely to differ from 500 grams. The historical variation in weight reveals a standard deviation of 14.14. What is the probability of finding a box that differs from the desired weight by more than 12 grams? Round your answer to the fourth decimal.
We can conclude after answering the presented question that As a probability result, the likelihood of discovering a package that deviates from the target weight by more than 12 grammes is around 0.4014.
What is probability?Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.
The mean of the box's overall weight is:
n * mu X = mu Y
With a mean weight of 500/n grammes for each chocolate, we get:
mu Y =n * (500/n) = 500
The standard deviation of the box's total weight is:
sqrt(n) * sigma X = sigma Y
When we substitute the provided values, we get:
= 2 * P(Z > 0.8485)
= 2 * (1 - P(Z < 0.8485))
= 2 * (1 - 0.7993) (1 - 0.7993)
= 0.4014 (rounded to four decimal places) (rounded to four decimal places)
As a result, the likelihood of discovering a package that deviates from the target weight by more than 12 grammes is around 0.4014.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
The cost per guest of catering an event of no more than 150 people is modeled by the function () = 45 + 15. The number of guests is modeled by the function () = 150 − , where x represents the number of guests fewer than 150 that attend. Evaluate ( ∙ )() and interpret what it means in the context of the problem. Show all work
C(N(x)) = 45 + 15(150 - x) = 45 + 2250 - 15x = 2295 - 15x. C(N(x)) = 2295 - 15x, which equals $2295 minus $15 for each guest fewer than 150. Therefore, $795 would be needed to prepare for 50 guests.
What does an arithmetic expression mean?A group of terms joined with the operations +, -, x, or form an expression, such as 4 x 3 or 5 x 2 3 x y + 17. A statement that starts with an equals sign, such as 4 b 2 = 6, says that two statements are equal in value and is known as an equation.
The functions are: C(x) = 45 plus 15x (Cost per guest)
N(x) = 150 - x (Number of guests)
We must simplify and replace the formula for N(x) with C(x) in order to evaluate C(N(x)):
C(N(x)) = 45 + 15(150 - x) = 45 + 2250 - 15x = 2295 - 15x
The expense of catering for x guests who are less than 150 is denoted by the expression 2295 - 15x.
The expense of catering a celebration for x guests fewer than 150 is denoted by the formula: C(N(x)) = 2295 - 15x, which equals $2295 minus $15 for each guest fewer than 150. This expression provides the total expense of catering for the number of guests defined by the function N.(x). For instance, if the event has 50 guests, then x = 100 and the expense of catering for 50 guests.
C(N(100)) = 2295 - 15(100)
= 2295 - 1500
= 795
To know more about expense visit:-
brainly.com/question/29842871
#SPJ1
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 143000 dollars. Assume the distribution is normal and that the standard deviation is 31000 dollars. Enter your answers as numbers accurate to 4 decimal places.
1.Find the probability that a single randomly selected salary is less than 144000 dollars.
2.Find the probability that a sample of size n=75 is randomly selected with a mean that is less than 144000 dollars.
1. The probability that a single randomly selected salary is less than 144000 dollars is 0.5129. 2. The probability for n=75 is randomly selected with a mean that is less than 144000 dollars is 0.8781.
What is the central limit theorem?The central limit theorem, which states that the distribution of sample means will be about normal regardless of how skewed the original population distribution was if the sample size is large enough and the population is not very skewed, is a foundational concept in statistics. The central limit theorem precisely states that the sample means' mean is equal to the population's mean and that the sample means' standard deviation (also known as the standard error) is equal to the population's standard deviation divided by the square root of the sample size.
The z-score us given by the formula:
z = (x - μ) / σ
1. For salary less than 144000 dollars:
z = (144000 - 143000) / 31000 = 0.0323
Using the z-table:
z-score < 0.0323 = 0.5129
Hence, the probability that a single randomly selected salary is less than 144000 dollars is 0.5129.
2. For n = 75:
z = (x - μ) / (σ / √(n))
z = (144000 - 143000) / (31000 / √(75)) = 1.164
Using z-table:
z-score is less than 1.164 = 0.8781.
Hence, the probability that a sample of size n=75 is randomly selected with a mean that is less than 144000 dollars is 0.8781.
Learn more about central limit theorem here:
https://brainly.com/question/18403552
#SPJ1
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
A piggy bank contained $8.50 in quarters, dimes and nickels. There were twice as many quarters as nickels and 5 less quarters as dimes. How many of each kind of coin was in the piggy bank?
There were 21 quarters, 26 dimes, and 10 nickels in the piggy bank.
What is Quarters?Quarters are a type of coin used as currency in many countries, including the United States, Canada, and Mexico. In the United States, quarters are worth 25 cents each and have a diameter of 0.955 inches (24.26 mm). Quarters feature the image of George Washington, the first president of the United States, on the obverse (front) side, and an eagle on the reverse (back) side.
Let's use variables to represent the number of each type of coin. Let:
q be the number of quarters
d be the number of dimes
n be the number of nickels
From the problem statement, we have the following information:
The total value of the coins is $8.50, so we can write:
0.25q + 0.10d + 0.05n = 8.50
There were twice as many quarters as nickels, so:
q = 2n
There were 5 less quarters than dimes, so:
q = d - 5
We can use the third equation to substitute for q in the first two equations:
2n = d - 5
n = (d - 5)/2
q = d - 5
Now we can substitute these expressions for n and q in the first equation:
0.25(d-5) + 0.10d + 0.05((d-5)/2) = 8.50
Simplifying and solving for d:
0.25d - 1.25 + 0.10d + 0.025d - 0.125 = 8.50
0.375d = 9.875
d = 26.333...
Since we can't have a fraction of a coin, we need to round this to the nearest whole number. We also know that q = d - 5 and n = (d-5)/2, so:
d = 26
q = 21
n = 10
Therefore, there were 21 quarters, 26 dimes, and 10 nickels in the piggy bank.
To know more about Quarters visit:
https://brainly.com/question/21603093
#SPJ1
A garden is being built in the shape below. How many square yards of space will the garden occupy?
1-5 above involves dividing a whole number by a fraction less than 1
What happens to the quotients compared to the dividends? Explain your answer
Answer:
The quotient will have a larger value than the dividend.
Step-by-step explanation:
Example:
15 ÷ [tex]\frac{1}{2}[/tex]
[tex]\frac{5}{\frac{1}{2} }[/tex]
[tex]\frac{\frac{15}{1} }{\frac{1}{2} }[/tex] x [tex]\frac{\frac{2}{1} }{\frac{2}{1} }[/tex] = [tex]\frac{\frac{30}{1} }{1}[/tex] = 30
Our quotient of 30 has a larger value than the dividend of 15.
Helping in the name of Jesus.
Adama rolls a die with faces labeled 1 through 10. If he rolls the die 40 times how many times would he expect it to land on a number less than 10?
Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.
The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.
The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.
The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.
Therefore, the expected number of times the die will land on a number less than 10 is:
E = (9/10) x 40 = 36
Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ1
☆ 36 times.
— your in college ? im in seventh grade and got this question !
9. What reason should be put in #6?
Read the proof.
Given: AB DE
Prove: ABC EDC
The "Angle-Angle (AA) Similarity Theorem" should be used as the justification in #6 based on the assertions made in the proof.
What is Angle-Angle Similarity Theorem?According to the Angle-Angle-Angle (AAA) criterion, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are similar."
The "Angle-Angle (AA) Similarity Theorem" should be used as the justification in #6 based on the assertions made in the proof.
This is due to the proof demonstrating the congruence of two sets of corresponding angles in the triangles ABC and EDC: ACB DCE and BDE DBA.
According to the AA Similarity Theorem, two triangles are similar if two sets of corresponding angles in each triangle are congruent.
As a result, the AA Similarity Theorem leads us to the conclusion that ABC equals EDC.
Learn more about proofs of similar triangles here:
https://brainly.com/question/29155800
#SPJ1
HELP ASAP PLS HELP ASAP ASAP ASAP
A net of a rectangular pyramid is shown.
A net of a rectangular pyramid with a base with dimensions of 14 inches by 17 inches. The two larger triangular faces have a height of 12 inches. The smaller triangular face has a height of 12.9 inches.
What is the surface area of the pyramid?
311.3 in2
384.6 in2
441.3 in2
622.6 in2
The rectangular pyramid's surface area therefore approximates 622.6 in2, which is closest to option 4.
what is rectangle ?A rectangular is a four-sided polygon in geometry with opposite sides that are parallel and of equal length. It contains four diagonals that cross one another at 90 degree angles. A rectangle is also a rhombus, a rectangle with all sides of equal length, and a parallelogram, a trapezoid with the opposite sides parallel. In the formula A = l w, where l stands for length and w for width, the area of such a rectangle is determined. P = 2l + 2w is a formula that yields the perimeter. In the fields of engineering, design, and architecture, rectangles are used frequently.
given
The Pythagorean theorem can be used to determine the base of the smaller triangle, which equals the pyramid's slant height.
Slant height is equal to (12.5 + 12.9) in (rounded to one decimal place)
Hence, the smaller triangle's area is:
A(small triangular) = 1/2 x 17.8 in, 17.8 in, and 12.9 in, or 115.1 in2.
By summing the areas of all the pyramid's faces, we can determine the overall surface area of the structure:
A (base) + 2 x A (big triangle) + A Equals total surface area (small triangle)
Surface area total = 238 in2 + 2 x 84 in2 + 115.1 in2
Surface area total = 622.1 in2 (rounded to one decimal place)
The rectangular pyramid's surface area therefore approximates 622.6 in2, which is closest to option 4.
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ1
1. State the converse, contrapositive, and inverse of the conditional statement “A positive integer is a prime only if it has no divisors other than 1 and itself”.
In Converse: a positive integer is a prime if it has no divisors besides 1 and itself. A positive integer has other divisors besides 1 and itself if it is not a prime; this is Contrapositive. Inverse: A positive integer is not a prime if it has divisors other than 1 and itself.
The conditional statement reads, "A positive integer is a prime only if it has no divisors other than 1 and itself."
In converse: "a positive integer is a prime if it has no divisors other than 1 and itself." This is not always the case, however, as some composite numbers, like 15, have only themselves and the number one as divisors.
Contrapositive: "If a positive integer is not a prime, then it has divisors other than 1 and itself," is the contrapositive. This is true because a prime number cannot have any divisors than itself and the number 1, which means that any number that is not a prime must have other divisors.
Inverse: "A positive integer has divisors other than 1 and itself is not a prime." This is also true since a prime number is defined as having no divisors besides itself and 1. Hence, any number with divisors other than 1 and itself cannot be a prime number.
The converse, contrapositive, and inverse of a conditional statement are typically not logically identical to the original statement and may or may not be true.
Learn more about contrapositive here:
https://brainly.com/question/5306301
#SPJ1
Solve for x please and thank you
The value of x in the given equation of the quadrilateral is 20.
What is the value of x?
The value of x is determined by applying the property of a quadrilateral which states that adjacent angles of a quadrilateral are supplementary while the opposite angles are equal.
(2x + 14) + 126 = 180
We can simplify the left side of the equation by combining the terms inside the parentheses:
2x + 140 = 180
Next, we can isolate the variable x by subtracting 140 from both sides of the equation:
2x = 40
Finally, we can solve for x by dividing both sides of the equation by 2:
x = 20
Learn more about adjacent angles of quadrilateral here: https://brainly.com/question/29001716
#SPJ1
what is g(x)?
what is the equation of the blue graph ?
According to given graph, the equation of the blue graph is [tex]G(x)=(x+3)^3[/tex].
What is graph?
Graph is a mathematical and computer science concept that consists of nodes or vertices, connected by edges to represent the relationships between objects.
Let's plug in x = -3 into both options and see which one gives the y-value of the blue graph at x = -3:
For g(x) = [tex](x+3)^3[/tex], when x = -3, we have g(-3) = ( -3 + 3 )^3 = 0.
For g(x) = [tex](x-3)^3[/tex], when x = -3, we have g(-3) = ( -3 - 3 )^3 = (-6)^3 = -216.
Since the blue graph passes through (-3,0), the correct option is g(x) = [tex](x+3)^3[/tex].
To learn more about graph visit:
https://brainly.com/question/19040584
#SPJ1
Simplify the expression 3(x + 2) + 2(x + 3)
Answer:
5x + 12
Step-by-step explanation:
3(x + 2) + 2(x + 3)
= 3x + 6 + 2x + 6 (distributing the coefficients)
= 5x + 12 (combining like terms)
Answer:5x+12
Step-by-step explanation:
3(x+2)= 3x+6
2)x+3) = 2x+6
3x+2x+6+6=5x+12
HOPE I HELPED :)