Question

Solve for p and simplify: m=3/4t times (f-2p) please show step by step!

Answer 1

Answer:

$p=-\frac{2}{3}m+\frac{1}{2}ft$

Step-by-step explanation:

We have been given an equation $m=\frac{3}{4}t\times (f-2p)$. We are asked to solve for p.

$m=\frac{3}{4}t\times (f-2p)$

Use distributive property:

$m=\frac{3}{4}ft-\frac{6p}{4}$

$m=\frac{3}{4}ft-\frac{3p}{2}$

Subtract $\frac{3}{4}ft$ from both sides:

$m-\frac{3}{4}ft=\frac{3}{4}ft-\frac{3}{4}ft-\frac{3p}{2}$

$m-\frac{3}{4}ft=-\frac{3p}{2}$

Multiply both sides by $\frac{-2}{3}$:

$(m-\frac{3}{4}ft)\times\frac{-2}{3}=\frac{-2}{3}\times \frac{-3p}{2}$

$-\frac{2}{3}m+\frac{1}{2}ft=p$

Therefore, our required equation would be $p=-\frac{2}{3}m+\frac{1}{2}ft$.

Answer 2

Firstly, foil 3/4t(f - 2p): $m=\frac{3}{4}ft-\frac{3}{2}p$

Next, subtract both sides by 3/4ft: $m-\frac{3}{4}ft=-\frac{3}{2}p$

Lastly, multiply both sides by -2/3 and your answer will be: $-\frac{2}{3}m+\frac{1}{2}ft=p$