Michaela walked 2/5 mile to the store in 1/4 hour. what is her walking pace in a fraction form
All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?
Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
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(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228. Help.
Answer 5-5.190 =-945 -2=-947 2-2=0+3 =3+7=-935
Step-by-step explanation:
The sum of one fifth of a number and 3 7/10 is 7. Find the number
Answer:
Step-by-step explanation:
3
Two numbers are in the ratio 7:10 If the larger number is 140,what is the smaller number
Given that nos. are in ratio 7:10
The larger no. is 140
Let the smaller no. be x
Using ratio and proportion
7 : 10 :: x : 140
⇒10 × x = 140 × 7
[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]
- BRAINLIEST ANSWERER
Answer:
[tex] \frac{7}{10 } = \frac{x}{140} [/tex]
[tex] \frac{7 \times 140}{10 \times x} [/tex]
[tex] \frac{980}{10} [/tex]
[tex]98[/tex]
ANSWER IS 98
98 IS THE SMALLEST NUMBERplease help me with this sum I will mark you as brainest
Answer:
Step-by-step explanation:
3/6 x 8
= ( 3 x 8 ) / 6
= 24 / 6
4/7 x 2
= ( 4 x 2 ) / 7
= 8 / 7
9/2 x 3
= ( 9 x 3 ) / 2
= 27 / 2
8/5 x 7
= ( 8 x 7 ) / 5
= 56 / 5
3/9 x 5
= ( 3 x 5 ) / 9
= 15/9
7/4 x 4
= ( 7 x 4 ) / 4
= 28 / 4
6/2 x 6
= ( 6 x 6 ) / 2
= 36 / 2
8/3 x 9
= ( 8 x 9 ) / 3
= 72 / 3
9/4 x 8
= ( 9 x 8 ) / 4
= 72 / 4
5/3 x 6
= ( 5 x 6 ) / 3
= 30 / 3
2/7 x 3
= ( 2 x 3 ) / 7
= 6 / 7
8/4 x 7
= ( 8 x 7 ) / 4
= 72 / 4
6/4 x 2
= ( 6 x 2 ) / 4
= 12 / 4
Which graph shows all natural numbers less than 3?
Answer:
graph A shows all natural numbers less than 3
Step-by-step explanation:
Answer:
The Answer Is B
Step-by-step explanation:
What is the range for this data set?
22, 7, 14, 13, 38, 12, 19,
17, 49, 13, 9, 18, 36
Answer:
from 7 to 49 or (7, 49)
Step-by-step explanation:
Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.
In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.
From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.
The proportion and the standard error for each sample are given by:
[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:
[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
Hence, the standard error is of 0.0558.
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Which of the functions represents a function?
Answer:
B.
Step-by-step explanation:
im not sure to my answer(●'◡'●)
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
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Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area?
Answer:
175,208 square units
Step-by-step explanation:
Lets calculate the width first:
464 + 26 - 6 = 484
The area is equal to the length times the width, so
362 x 484 = the area
= 175,208 square units
what is the definition of fixed percent?
Answer:
the quotient, fixed as a percentage
Step-by-step explanation:
Answer:
Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.
Please help me out with thisbeen stuck on this for like a day
Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.
[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]
well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out
[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]
What is the solution to (4 x 103) x (6 x 106), written in scientific notation?
Answer:
Step-by-step explanation:
Brainliest to the one thats right
Answer:
Option C is correct.
Step-by-step explanation:
In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.
Which term from the drop-down menu makes the statement true?
Select Choice triangles are similar.
A list of choices that appears on a computer screen when a person clicks on the menu title To print the document click on print in the file drop down menu
IF YOU HELP ME WITH THIS YOU ARE AUTOMATICALLY MY FAVORITE PERSON
Determine the intercept of the line
Y-intercept ( , )
X- intercept ( , )
Answer:
Y-intercept: (0, 2.5)
X-intercept: (3.5, 0)
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
15 points plz answer soon
Answer:
P(ΔTRP) = 36 m
Hope this helps!
If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y
Answer:
3^7
Step-by-step explanation:
https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ
it will tell you why hear
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
right answer only plz and thank u
Answer:
[tex](x-1)^2(x+3)[/tex]
Step-by-step explanation:
For factorization the given expression you can use the Ruffini's rule.
First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].
[tex]3 = \{\pm1,\pm3\}[/tex]
Now replace each number in the polynomial
[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]
If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].
[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]
In the first row are the coefficients of the given polynomial.
In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].
The third row are the coefficients of the quotient polynomial (except the last that is the remainder).
[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]
Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to
[tex]x^2 + 2x -3[/tex]
So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:
[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]
So the last expression is:
[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]
Help plz I don’t understand how to do this math below
1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]
2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]
- BRAINLIEST answerer
1. When multiplying fractions, multiply the numerators and multiply the denominators:
1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15
2. When dividing fractions multiply by the inverse of the second fraction.
2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3
Geometry ….. solve for x and y
Answer:
y = 2.4
x = 30°
Step-by-step explanation:
5y = 12
[tex]\frac{5y}{5}[/tex] = [tex]\frac{12}{5}[/tex]
Cancel both the 5 in numerator and denominator
y = [tex]\frac{12}{5}[/tex]
Divide 12 by 5
y = 2.4
All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°
x = 30°
i don't know how to explain it but i'm sure it's correct. Hope it helps
How many cups are in 1 liter
Each liter is equivalent to exactly: 4.22675 cups.
I hope this helps!
A(-5, -4) → A' is a glide reflection where the translation is (x, y) → (x + 6, y), and the line of reflection is y = 3. What are the coordinates of A'?
A. (1, -4)
B. (-5, 2)
C. (1, 10)
D. (11, 2)
Answer:
(1, -4)
Step-by-step explanation:
(-5,-4) -> (x,y) so x = -5 and y = -4. Apply the rule (x+6,y) to that point by substituting in your x and y values.
(-5+6,-4) = (1, -4)
Use the long division method to find the result when 12x^3+25x^2+4x-112x
3
+25x
2
+4x−1 is divided by 3x+13x+1.
Answer:
(4x + 3) • (x + 2) • (3x - 2)
Thats finding the root polynomials hope it helps a bit
PLS HELP ME
what party was against a strong central government, government promotion of trade and industry?
A: Federalist
B: Democrat-republicans
C: Whigs
D: Democrats
I need it now pls it's a k-12 test
Answer:
the answer is a federalist and your welcome
Step-by-step explanation:
The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.