what is the value of m in the equation $\frac{1}{2}m - \frac{3}{4}n = 16$, when $n = 8$?\n20\n32\n44\n48

Explanation:

Step1: Substitute n value

Substitute $n = 8$ into the equation $\frac{1}{2}m-\frac{3}{4}n = 16$. We get $\frac{1}{2}m-\frac{3}{4}\times8=16$.

Step2: Simplify the equation

Calculate $\frac{3}{4}\times8 = 6$. The equation becomes $\frac{1}{2}m-6 = 16$.

Step3: Isolate the term with m

Add 6 to both sides of the equation: $\frac{1}{2}m=16 + 6$. So $\frac{1}{2}m=22$.

Step4: Solve for m

Multiply both sides by 2 to get $m = 22\times2$. Thus $m = 44$.

Answer:

44