Question

What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a.20 b.32 c.44 d.48

Answer 1

Answer:

C. 44

Step-by-step explanation:

$\frac{1}{2} m - \frac{3}{4} n = 16 \\ \\ \frac{1}{2} m - \frac{3}{4} \times 8 = 16..( plug \: n = 8) \\ \\ \frac{1}{2} m - 3 \times 2 = 16 \\ \\ \frac{1}{2} m - 6 = 16 \\ \\ \frac{1}{2} m = 16 + 6 \\ \\ \frac{1}{2} m = 22 \\ \\ m = 22 \times 2 \\ \\ m = 44$

Answer 2

The value of m in the given equation is equal to 3.

Given the following data:

• n = 8

To find the value of m in the given equation:

How to solve a word problem.

In this exercise, you're required to determine the value of m in the given equation. Thus, we would translate the word problem into an algebraic equation.

$\frac{1}{2m} -\frac{3}{4n} =16$

Substituting the value of n in the equation, we have;

$\frac{1}{2m} -\frac{3}{4(8)} =16\\\\\frac{1}{2m} -\frac{3}{32} =16\\\\16m-32=16\\\\16m=16+32\\\\16m=48\\\\m=\frac{48}{16}$

m = 3.

Read more on word problems here: brainly.com/question/13170908