Answer:
D
Step-by-step explanation:
y=4x+12
x=4y+12
x-12=4y
1/4x-3
Answer:
252 songs per 18 CD's
252/18 = 14
14 songs per CD
Step-by-step explanation:
Answer:
There are an infinite number of values satisfying the requirements; every couple of numbers satisfying the following conditions are valid:
base = 60-w meters
width = w meters
0 < w <= 22
Step-by-step explanation:
Since the playground has a rectangular shape, let us us call b the base of the rectangle and w its width. In order for the rectangle to satisfy the condition of P = 120, we need for the following equation to satisfy:
2b + 2w = 120
Solving for b, we get that b = (120 - 2w)/2 = 60 - w .
Given a particular value (w) for the width, the base has to be: (60-w).
Therefore, the possible lengths of the playground are (60-w, w), where 60-w corresponds to the base of the rectangle and w to its width. And w can take any real value from 0 to 22.
I think the answer is A.
the formula to find the volume of a sphere is 4/3 x pi x radius cubed. this means you have to split the diameter in half giving you 3.7 which automatically rules out the answers with 7.4 written in them. now you have to compare A and D but D has 3/3 at the end. this is where you can see that it’s wrong because when you cube you don’t use a fraction.
Greetings!
Simplify the following expression:
![(5y^6u^{-7})(5u^9v^{-6})(3v^5y)](https://tex.z-dn.net/?f=%285y%5E6u%5E%7B-7%7D%29%285u%5E9v%5E%7B-6%7D%29%283v%5E5y%29)
First,
multiply the terms
![=(5y^6u^{-7})(5u^9v^{-6})(3v^5y)](https://tex.z-dn.net/?f=%3D%285y%5E6u%5E%7B-7%7D%29%285u%5E9v%5E%7B-6%7D%29%283v%5E5y%29)
![=(25y^6u^{2}v^{-6})(3v^5y)](https://tex.z-dn.net/?f=%3D%2825y%5E6u%5E%7B2%7Dv%5E%7B-6%7D%29%283v%5E5y%29)
![=(75y^7u^{2}v^{-1})](https://tex.z-dn.net/?f=%3D%2875y%5E7u%5E%7B2%7Dv%5E%7B-1%7D%29)
Rearrange the
negative exponent:
![=(75y^7u^{2}v^{-1})](https://tex.z-dn.net/?f=%3D%2875y%5E7u%5E%7B2%7Dv%5E%7B-1%7D%29)
![= \frac{75y^7u^{2}}{v}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B75y%5E7u%5E%7B2%7D%7D%7Bv%7D%20)
Rearrange
to follow the correct
form:![= \frac{75u^{2}y^7}{v}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B75u%5E%7B2%7Dy%5E7%7D%7Bv%7D%20)
This is the most you can simplify this expression:
![\boxed{=\frac{75u^{2}y^7}{v} }](https://tex.z-dn.net/?f=%5Cboxed%7B%3D%5Cfrac%7B75u%5E%7B2%7Dy%5E7%7D%7Bv%7D%20%7D)
I hope this helped!
-Benjamin