Step-by-step explanation:
12 inches = 30cm.
12 inches = 30cm.
8 inches = 20.3 cm
32 inches = 80.3 cm.
So lets say that this salt and water solution consists of 100 liters.
Then that means 20 liters is salt, and 80 liters out of the 100 is water.
Now, we remove 25% of the water. 25% of 80 liters is 20 liters. So, we are left with 80-20, or 60 liters.
Now in all we have 20 liters of salt, and 60 liters of water.
The percentage of salt in the new mixture will be 20/(20+60) = 20/80 = 25%.
Your answer is 25%
The main rule we use in this exercise is
![( \sqrt{a} ) ^{m} =( a^{ \frac{1}{2}} )^{m} = a^{ \frac{1}{2}*m}=a^{ \frac{m}{2}}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7Ba%7D%20%29%20%5E%7Bm%7D%20%3D%28%20a%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%29%5E%7Bm%7D%20%3D%20a%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2Am%7D%3Da%5E%7B%20%5Cfrac%7Bm%7D%7B2%7D%7D)
and the more general case:
![( \sqrt[n]{a} ) ^{m} =( a^{ \frac{1}{n}} )^{m} = a^{ \frac{1}{n}*m}=a^{ \frac{m}{n}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%20%29%20%5E%7Bm%7D%20%3D%28%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%7D%20%29%5E%7Bm%7D%20%3D%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%2Am%7D%3Da%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D)
Using these rules, we make all the indices, or exponents, look like
![a^{ \frac{m}{n}}](https://tex.z-dn.net/?f=a%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D)
, and compare them to each other.
A.
![( \sqrt{8} )^{9} = ( 8^{ \frac{1}{2}} )^{9} = 8^{ \frac{1}{2}*9}= 8^{ \frac{9}{2}}](https://tex.z-dn.net/?f=%20%28%20%5Csqrt%7B8%7D%20%29%5E%7B9%7D%20%3D%20%20%28%20%208%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%20%20%29%5E%7B9%7D%20%3D%208%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2A9%7D%3D%208%5E%7B%20%5Cfrac%7B9%7D%7B2%7D%7D)
B.
![( \sqrt{4} ) ^{5} =( 4^{ \frac{1}{2}} )^{5} = 4^{ \frac{1}{2}*5}=4^{ \frac{5}{2}}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B4%7D%20%29%20%5E%7B5%7D%20%3D%28%204%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%29%5E%7B5%7D%20%3D%204%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2A5%7D%3D4%5E%7B%20%5Cfrac%7B5%7D%7B2%7D%7D)
C.
![( \sqrt[3]{125} ) ^{7} =( 125^{ \frac{1}{3}} )^{7} = 125^{ \frac{1}{3}*7}= 125^{ \frac{7}{3}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5B3%5D%7B125%7D%20%29%20%5E%7B7%7D%20%3D%28%20125%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%20%29%5E%7B7%7D%20%3D%20125%5E%7B%20%20%5Cfrac%7B1%7D%7B3%7D%2A7%7D%3D%20125%5E%7B%20%5Cfrac%7B7%7D%7B3%7D%7D%20%20%20)
D.
Answer:
is 21
Step-by-step explanation:
becuase 7-6 (the lCM) is 1 and 20 + 1 = 21
2y=29+3
2y=32
Y=32/2
Y=16
Hope that is right