Answer:
6
Step-by-step explanation:
7x + 3(-x + 6) = 42
use distributive property
7x + -3x + 18 = 42
positive + negative = negative
7x - 3x + 18 = 42
combine like terms
4x + 18 = 42
subtract 18 from both sides
4x + 18 - 18 = 42 - 18
18 is canceled out on the left side
4x + 0 = 24
4x = 24
divide both sides by 4
4x ÷ 4 = 24 ÷ 4
1x = 6
x = 6
3:2 is ratio
3/2 cups of flour per cup of sugar
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)
Answer:
x
=
−
v
3
24
−
17
24
Step-by-step explanation:
Answer:
f ∧ (-1) = (2 + 4x)/3x
Step-by-step explanation: