Answer:
A
Step-by-step explanation:
I believe the answer is 24.You do 12 divided by 3 and then you get 4. Then you do 4 times 6 and get 24.
<span>The
problem said that for each part, there is 1/10 mile long. If Marsha finished 5
parts of the race, just multiply 5 by 1/10 and you will get 5/10 or ½ or 0.5
miles. Therefore, Marsha finished 0.5 miles of the race.</span>
Answer:
Option b.
![4x^3y^2\sqrt[3]{4xy}](https://tex.z-dn.net/?f=4x%5E3y%5E2%5Csqrt%5B3%5D%7B4xy%7D)
Step-by-step explanation:
we have the expression
![\sqrt[3]{256x^{10}y^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%7D)
Remember these properties
![\sqrt[n]{x^m} =x^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
so
![\sqrt[3]{256x^{10}y^{7}}=(256x^{10}y^{7})^{\frac{1}{3}}=(256^{\frac{1}{3}})(x^{\frac{10}{3}})(y^{\frac{7}{3}})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%7D%3D%28256x%5E%7B10%7Dy%5E%7B7%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%28256%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%28x%5E%7B%5Cfrac%7B10%7D%7B3%7D%7D%29%28y%5E%7B%5Cfrac%7B7%7D%7B3%7D%7D%29)
Rewrite the expression
substitute
Applying properties of exponents
simplify
Note the equal sign, what you do to one side, you do to the other side. Isolate the variable z.
First, subtract 3z and add 6/4 to both sides
4z (-3z) - 6/4 (+6/4) = 3z (-3z) + 1 (+6/4)
4z - 3z = 1 + 6/4
Simplify. Note that 1 = 4/4.
z = 4/4 + 6/4
Simplify. Combine like terms
z = 10/4
Simplify. Change the improper fraction into mixed fraction and simplify.
z = 10/4 = 2 2/4 = 2 1/2
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