Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
I believe that the answer is C. x - 114 : y - 34
Answer:
13√2
Step-by-step explanation:
The areas of the larger triangle, and the smaller triangle (formed when the larger triangle was cut by the parallel line) are similar. Therefore we can compare their areas:
Area1/Area2 = (Length1)^2/(Length2)^2,
x/2x = (Length1)^2/(26)^2,
1/2 = (Length1)^2/676,
(Length1)^2 = 676/2 = 338
Length1 = √1352 = 13√2
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:

With this equation we can define y in function of x as:

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

We can express the total cost of painting as:

To calculate the minimum cost, we derive this function C and equal to zero:
![\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdx%7D%3D280%28-1%29%5Cdfrac%7B1%7D%7Bx%5E2%7D%2B0.14%282x%29%3D0%5C%5C%5C%5C%5C%5C-%5Cdfrac%7B280%7D%7Bx%5E2%7D%2B0.28x%3D0%5C%5C%5C%5C%5C%5C0.28x%3D%5Cdfrac%7B280%7D%7Bx%5E2%7D%5C%5C%5C%5C%5C%5Cx%5E3%3D%5Cdfrac%7B280%7D%7B0.28%7D%3D1000%5C%5C%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B1000%7D%20%3D10)
The sides of the room have to be x=10 feet.
The height can be calculated as:

The room will have sides of 10 feet and a height of 8.75 feet.
Answer:
x - 1.7 = 14
Step-by-step explanation:
Sarah thought of a number: x
Then she subtracted 1.7 FROM it: x - 1.7
and gets an answer if 14: x - 1.7 = 14
so the equation is x - 1.7 = 14