answer
<u>600</u>
Step-by-step explanation:
Step 1: If 82% of a number is 492, then what is 100% of that number? Setup the equation.
492/82%=Y/100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
82Y = 492 x 100
82Y = 49200
Y=49200100=<u>600</u>
Answer:
The valid point is (5/2, 5)
Step-by-step explanation:
In order to check which ones are valid we will apply all of them to the expression.
(5,15):
![\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}5 - \frac{1}{5}15 \geq 0\\\\-1 \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7Dy%20%5Cgeq%200%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D5%20-%20%5Cfrac%7B1%7D%7B5%7D15%20%5Cgeq%200%5C%5C%5C%5C-1%20%5Cgeq%200)
False.
(1/2, 5):
![\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{1}{2} - \frac{1}{5}5 \geq 0\\\\-\frac{4}{5} \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7Dy%20%5Cgeq%200%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D%5Cfrac%7B1%7D%7B2%7D%20-%20%5Cfrac%7B1%7D%7B5%7D5%20%5Cgeq%200%5C%5C%5C%5C-%5Cfrac%7B4%7D%7B5%7D%20%5Cgeq%200)
False.
(5/2, 5):
![\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{5}{2} - \frac{1}{5}5 \geq 0\\\\0 \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7Dy%20%5Cgeq%200%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D%5Cfrac%7B5%7D%7B2%7D%20-%20%5Cfrac%7B1%7D%7B5%7D5%20%5Cgeq%200%5C%5C%5C%5C0%20%5Cgeq%200)
True.
(2,5):
![\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}2 - \frac{1}{5}5 \geq 0\\\\-\frac{1}{5} \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7Dy%20%5Cgeq%200%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D2%20-%20%5Cfrac%7B1%7D%7B5%7D5%20%5Cgeq%200%5C%5C%5C%5C-%5Cfrac%7B1%7D%7B5%7D%20%5Cgeq%200)
False
(-1,0):
![\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}(-1) - \frac{1}{5}0 \geq 0\\\\-\frac{2}{5} \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx%20-%20%5Cfrac%7B1%7D%7B5%7Dy%20%5Cgeq%200%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D%28-1%29%20-%20%5Cfrac%7B1%7D%7B5%7D0%20%5Cgeq%200%5C%5C%5C%5C-%5Cfrac%7B2%7D%7B5%7D%20%5Cgeq%200)
False.
I believe the answer to this question would be 120.
first i divided the 60 by 5, got 12. then multiplied the 10 by the 12, and i got 120!
If M represent Michael and L represents Leo Then you equation would be:
M+2=L.
Hope this helps!