Answer:
Option A
Step-by-step explanation:
⅗ ÷ ⅘
⅗ × 5/4
= 3/4
<h2>HOPE IT HELPS</h2>
<em>x =1/3</em>
- Step-by-step explanation:
<em>25ˣ⁺¹ = 125/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>
<em>2(x + 1) = 3 - x</em>
<em>2x + 2 = 3 - x</em>
<em>2x + x = 3 - 2</em>
<em>3x = 1</em>
<em>x = 1/3</em>
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.
The answer to that question is the letter B
Answer:
There is two vowels and 6 sections in total
2 wanted sections / 6 total sections = 1/3
1/3 chance or 33.33333%
Step-by-step explanation: