126 1/4 = 126 3/12 = 125 15/12
- 78 2/3 = - 78 8/12 = - 78 8/12
--------------------------------------...
47 7/12
1) Find the lowest common denominator (LCD) for the fractions. In this case, 12 is the LCD.
2) Rewrite the fractions 1/4 and 2/3 using 12 as the denominator (second column). You get 3/12 and 8/12.
3) Since it's confusing to subtract 8/12 from 3/12, you need to borrow one from the 126. Doing so is the same as taking 12/12 from 126. This changes to 125, and the 12/12 adds to the 3/12 making it 15/12.
4) Subtract 8/12 from 15/12 to get 7/12.
5) Subtract 78 from 125 to get 47.
6) The answer is 47 7/12.
The answers is 200 or 201
The answer is y=16/5x+5/2
Answer:
Step-by-step explanation:
1) Rewriting for the sake of clarity:
2) To solve it, we need to turn the rational exponent equal to 1 via exponent rule of product. Multiplying 2/3 by its reciprocal 3/2 we get 1, since this is an equality we need to do it on the other side.
![(x-1)^{\frac{2}{3}}=64\\\\((x-1)^{\frac{2}{3}}]^{\frac{3}{2}}=(64)^{\frac{3}{2}}\\(x-1)=\sqrt{64^{3}}\\x-1+1=512+1\\x=513](https://tex.z-dn.net/?f=%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D64%5C%5C%5C%5C%28%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%2864%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5C%5C%28x-1%29%3D%5Csqrt%7B64%5E%7B3%7D%7D%5C%5Cx-1%2B1%3D512%2B1%5C%5Cx%3D513)
