The answer is 8.7, or 8 (7/10).
Answer:
77.44%
49.87%
Step-by-step explanation:
If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air
on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056
Air left on the second day = 88% - 10.56% = 77.44%
After a week = (100 - 12%)^7 = 49.87%
![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
What are all the solutions to the following
equation?
|10x + 2| =48
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
![| 10 x + 2 | = 48](https://tex.z-dn.net/?f=%7C%2010%20x%20%2B%202%20%7C%20%3D%2048)
Combine like terms and use the properties of equality to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.
![|10x+2|=48](https://tex.z-dn.net/?f=%7C10x%2B2%7C%3D48%20)
Use the definition of absolute value.
![10x+2=48 \\ 10x+2=-48](https://tex.z-dn.net/?f=10x%2B2%3D48%20%20%5C%5C%2010x%2B2%3D-48%20)
Subtract 2 from both sides of the equation.
![10x=46 \\ 10x=-50](https://tex.z-dn.net/?f=10x%3D46%20%5C%5C%20%2010x%3D-50%20)
Divide both sides by 10.
![\boxed{ \boxed{ \bf \: x=\frac{23}{5} = 46}} \\ \boxed{\boxed{ \bf \: x=-5 }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20x%3D%5Cfrac%7B23%7D%7B5%7D%20%3D%2046%7D%7D%20%5C%5C%20%20%20%20%5Cboxed%7B%5Cboxed%7B%20%5Cbf%20%5C%3A%20x%3D-5%20%7D%7D)