A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answers
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
Related Questions
Graph the function f(x)=1/2x+1
Answers
Answer:
See attached graph.
Step-by-step explanation:
3x4y=-2
9x-10y=38
elimnation method
Answers
Answer:
x = 2
y = -2
Step-by-step explanation:
N.B. Assuming the first equation is actually 3x + 4y = -2
The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.
First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.
3(3x + 4y) = 3(-2)
Then, you are left with this. Simply subtract the equations.
9x + 12y = -6
9x - 10y = 38
0 + 22y = -44
Then, simply solve
y = -2
9x + 20 = 38
9x = 18
x = 2
Hope it helps :) and let me know if you want me to elaborate.
3-(1/3) to the fourth power
Answers
Answer:
i dint know about you but i got 2.98765432099
Step-by-step explanation:
im not sure if in right though
If any doubt please comment what you need clarification on.
Rate BRAINLIEST
Please solve step by step
Answers
Answer:
Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]
Step-by-step explanation:
7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]
= 6[tex]x^{2}[/tex] + 3x
= 3x ( 2x + 1 )
Hopefully this helps.
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.
Answers
Answer:
200 cubic centimeter
Step-by-step explanation:
Answer:
201.1 cc
Step-by-step explanation:
r = d/2
v = πr^2 h
---------------------
r = 4/2
r = 2
v = π * (2^2) * 16
v = 3.14159 * 4 * 16
v = 201.06176
Rounded
v = 201.1 cc
--------------------
note:
if 3.14 is used for π
v = 200.96
which rounds to
v =201.0
cho tâp m của 120 số tự nhiên mà mỗi số thì chia hết cho 5 hoặc chia hết cho 7 hoặc chia hết cho 5 và 7 . Biết rằng số ấy có 71 số chia hết cho 5 và 63 chia hết cho 7. Hỏi tập M có bao nhiêu số chia hết cho 35?
Answers
Answer:
I don't understand you
Step-by-step explanation:
plss translate to English
Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done
Answers
Answer:
100J
Step-by-step explanation:
work done = force x distance
= 200 x 0.5
= 100J
How can you turn decimals into percentages
Answers
Step-by-step explanation:
Example given 0.987.
0.987 = 987/1000
now, to convert the decimal in percentage.
(987/1000 ×100)% = 98.7%.
hope this helps you.
Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.
A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.
Question 1
Part A
What is the unit rate of parts iron to parts carbon?
Enter the correct answer in the box.
parts iron per part carbo
Answers
Answer:
Step-by-step explanation:
Sample One, Parts and % Sample Two, Parts and %
Fe 90 (90%) 45 (90%)
C 3 (3%) 1.5 (3%)
Other 7 (7%) 3.5 (7%)
100 parts 50 parts
Parts Fe/Parts Carbon = 90/3 or 30/1 in both cases [45/1.5 = 30/1]
Please help me please help me
Answers
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations
Answers
[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]
solving linear systems graphically .
Answers
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)
Answers
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 5cm/min and the oth
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
Answers
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
Let L be the length of one leg and D be the length of the other leg of the right triangle and y its hypotenuse
Since it is a right angled triangle, we have that, using Pythagoras' theorem
y² = L² + D²
Since the length of sides are the same, L = D = 70 cm.
So, y² = L² + D²
y² = 70² + 70²
y² = 2(70²)
y = 70√2
y = 98.99 cm
Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.
The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.
So, it new length is L' = 70 + 10 = 80 cm
The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.
So, it new length is D' = 70 + (-10 cm) = 60 cm
So, the new hypotenuse length is y' = √(L'² + D'²)
= √(80² + 60²)
= √(6400 + 3600)
= √10000
= 100 cm
Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm
So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
Learn more about rate of change here:
https://brainly.com/question/18721795
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equation representing the given statement is ~
[tex]50x + 330 \geqslant 820[/tex]The least number of lawns that he can cut and buy the computer is 10 lawns ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Total savings should be greater or equal to $ 820 in order to buy the computer,
And his total savinga is equal to ~
Money he saved + money got from cutting lawns.
let's assume the lawns cut by Tyrod be x,
Money earned by cutting lawns is equal to
total number of lawns cut × $5050xtotal savings is equal to ~
330 + 50xhence,
[tex]50x + 330 \geqslant 820[/tex]by solving for " x (number of lawns cut) " we get ~
[tex]50x \geqslant 820 - 330[/tex][tex]50x \geqslant 490[/tex][tex]x \geqslant 490 \div 50[/tex][tex]x \geqslant 9.8[/tex]Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is
[tex]10[/tex]Please help if you could.
f/2 + 9 = 4
-9 -9
f/2 =
Answers
Answer:
[tex]\frac{f}{2} +9=4[/tex]
Subtract 9 from both sides:
[tex]\frac{f}{2}+9-9=4-9[/tex]
[tex]\frac{f}{2} =-5[/tex]
Multiply both sides by 2:
[tex]2*\frac{f}{2} =-5*2[/tex]
[tex]f=-10[/tex]
Evaluate the expression:
2/3-1/4+(-5/6)
Answers
Answer:
[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]
[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]
[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]
[tex] \\ = \frac{8 - 13}{12} [/tex]
[tex] \\ = \frac{ - 5}{12} [/tex]
A store-bought 400 toys at a cost of $10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.
Answers
Answer:
Step-by-step explanation:
38+105= 143, 39+104=143, and you will find then adding the numbers
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answers
x = 25
6x = 150
x + 5 = 30
solve for :
a_2=2(a_2+1)
Answers
Step-by-step explanation:
a_2=2a_4+2
a=_2+4_2
a=0
Find the perimeter. Simplify your answer.
Answers
Answer:
3z+13
Step-by-step explanation:
Perimeter is found by adding all the sides
z+2+z+2+z+9
3 z variables 2+2+9=13
Simplified equals
3z+13
Hope this helps!
Please mark this answer as brainiest :)
a+3 1/4=5 2/9 how to solve this for me is hard
Answers
[tex]a + 3 \dfrac 14 = 5 \dfrac 29\\\\\\\implies a + 3 + \dfrac 14 = 5 + \dfrac 29\\\\\\\implies a+ \dfrac {13}4 = \dfrac{47}9\\\\\\\implies a = \dfrac{47}9 - \dfrac{13} 4 = \dfrac{188-117}{36} = \dfrac{71}{36} = 1 \dfrac{35}{36}[/tex]
someone help again please !!
Answers
Answer:
a: 2n + 11 = 25
b: 7
Step-by-step explanation:
a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25
2n + 11 = 25
- 11 - 11
2n = 14
2n/2 = 14/2
n = 7
1 4/7 divided by 3 2/3
Answers
[tex] \frac{3}{7} \\ \\ in \: \: alternate \: \: form \\ \\ 0.428571[/tex]
hope it helpssee the attachment for explanation
Nothing, never wanted to post a question on here
Answers
Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.
Answers
10 solar panels according to me is the answer
Answer: 10
Step-by-step explanation:
40 hours/8 hours = 5 hours
5 hours *2 solar panels = 10 solar panels
Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.
Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.
Answers
Answer: um i think 300
Step-by-step explanation:
Perform the indicated operation.
-274 -9
I need help
Answers
ItxAlex
Hope It Helps
A L E X
Answer:
-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number
which is not a property of the sides of a rectangle?
Answers
Answer:
A rectangle doesn't have equal sides
Both sides are not equal