Answer:
= 5x -10
Step-by-step explanation:
=(3)(3x)+(3)(−4)+(−2)(2x)+(−2)(−1)
=9x+−12+−4x+2
Combine Like Terms:
=9x+−12+−4x+2
=(9x+−4x)+(−12+2)
=5x+−10
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by
. We are given the perimeter of the pool along with the width.
![P = 486](https://tex.z-dn.net/?f=P%20%3D%20486)
![w = l - 35](https://tex.z-dn.net/?f=w%20%3D%20l%20-%2035)
From here, all we have to do is plug back into the original formula:
![486 = 2l + 2(l - 35)](https://tex.z-dn.net/?f=486%20%3D%202l%20%2B%202%28l%20-%2035%29)
Which can be further simplified as:
![486 = 2l + 2l - 70](https://tex.z-dn.net/?f=486%20%3D%202l%20%2B%202l%20-%2070)
![486 = 4l - 70](https://tex.z-dn.net/?f=486%20%3D%204l%20-%2070)
From here, all we have to do is add 70 to both sides of the equation and divide by four:
![556 = 4l](https://tex.z-dn.net/?f=556%20%3D%204l)
![139 = l](https://tex.z-dn.net/?f=139%20%3D%20l)
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
![P = 2l + 2w](https://tex.z-dn.net/?f=P%20%3D%202l%20%2B%202w)
![P = 2(139) + 2(104)](https://tex.z-dn.net/?f=P%20%3D%202%28139%29%20%2B%202%28104%29)
![P = 278 + 208](https://tex.z-dn.net/?f=P%20%3D%20278%20%2B%20208)
![P = 486](https://tex.z-dn.net/?f=P%20%3D%20486)
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Answer:
=−7p−23
Step-by-step explanation:
Answer:
Trevor read 157.5 pages this week.
Step-by-step explanation:
Simple multiplication.
Multiply 5 by 5 first to get 25, carry the 2 on top and then multiply 3 by 5 to get 15, make sure to add 2 to get 17. The first line should be 175.
Put a 0 on the last digit to solve for the next digit. Multiply 4 by 5 to get 20, carry the 2 on top and then multiply 3 by 4 to get 12, make sure to add 2 to get 14. The second line should be 1400.
Add the numbers up to get 1575, since there is one number behind the decimal, you should put a decimal in front of the last 5 for the answer in which it is 157.5.