Answer:
32
Step-by-step explanation:
The formula needed to solve this question by hand is:
![x^{\frac{m}{n}} =\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D)
256^(5/8) = 8th root of 256^5
256^(5/8) = 8th root of 1280
<u>256^(5/8) = 32</u>
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So,
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
Answer:
Step-by-step explanation:
<u>Order of operations, use the operation within the parenthesis:</u>
<u>Distributive property, a(b + c) = ab + ac:</u>
- 1) 4*5 - 4*2 = 20 - 8
- 2) 20 - 8 = 12
Both ways are correct and lead to same result