Second one if you distribute the first expression you get the second equation so the expressions are equivalent
Answer:
He has 10 nickels and 5 dimes
Step-by-step explanation:
We can take advantage of the ratio by dividing 40 by 8, giving us that every 1 in the ratio = 5. So we can multiply 2 x 5 = 10 and 1 x 5 = 5.
Hope this Helps!
The main rule we use in this exercise is

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

, and compare them to each other.
A.

B.

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:
what are the optionnnnnn????
Answer:
50
Step-by-step explanation:
The sum of a triangle's angles are 180 so since you know one angle is 80, you would put 2x + 80 = 180, which would be 2x = 100, which simplifies to x = 50