Write a proportion first, change over original, like this:
8 x
16 100
(I got 8 because the difference between 24 and 16 is 8 and I got 100 because percents are out of 100.)
Cross multiply 8 by 100 and you get 800.
Divide 800 by 16 and you get 50.
It changed by 50%
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
![\mathbf{y = 2(5x + 3) - 24}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%202%285x%20%2B%203%29%20-%2024%7D)
The equation represented on machine B is:
![\mathbf{y = 4(2(x + 11) - 7)}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%204%282%28x%20%2B%2011%29%20-%207%29%7D)
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
![\mathbf{y = y}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%20y%7D)
So, we have:
![\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}](https://tex.z-dn.net/?f=%5Cmathbf%7B2%285x%20%2B%203%29%20-%2024%20%3D%204%282%28x%20%2B%2011%29%20-%207%29%7D)
Open brackets
![\mathbf{10x + 6 - 24 = 8x + 88 - 28}](https://tex.z-dn.net/?f=%5Cmathbf%7B10x%20%2B%206%20-%2024%20%3D%208x%20%2B%2088%20-%2028%7D)
![\mathbf{10x - 18 = 8x + 60}](https://tex.z-dn.net/?f=%5Cmathbf%7B10x%20-%2018%20%3D%208x%20%2B%2060%7D)
Collect like terms
![\mathbf{10x - 8x = 18 + 60}](https://tex.z-dn.net/?f=%5Cmathbf%7B10x%20-%208x%20%3D%2018%20%2B%2060%7D)
![\mathbf{2x = 78 }](https://tex.z-dn.net/?f=%5Cmathbf%7B2x%20%3D%2078%20%7D)
Divide both sides by 2
![\mathbf{x = 39 }](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%3D%2039%20%7D)
Substitute 39 for x in ![\mathbf{y = 2(5x + 3) - 24}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%202%285x%20%2B%203%29%20-%2024%7D)
![\mathbf{y = 2 \times (5 \times 39 + 3) - 24}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%202%20%5Ctimes%20%285%20%5Ctimes%2039%20%2B%203%29%20-%2024%7D)
![\mathbf{y = 372}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%20372%7D)
Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866
Answer:
2y^4√5
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
hope i helped :) !!!!!!!
brainliest !??!
The key word is “above” so the answer is A! :) (could I please have brainliest?)
Addition and multiplication are commutative property so that mean no.
In this case, you have to do division.
Your answer is 6x = 72
x = 12
Hope this helps :)