evaluate $13 - 0.75w + 8x$ when $w = 12$ and $x=\frac{1}{2}$.

Explanation:

Step1: Substitute values

Substitute $w = 12$ and $x=\frac{1}{2}$ into the expression $13 - 0.75w+8x$. $13-0.75\times12 + 8\times\frac{1}{2}$

Step2: Calculate $0.75\times12$

$0.75\times12=\frac{3}{4}\times12 = 9$ The expression becomes $13 - 9+8\times\frac{1}{2}$

Step3: Calculate $8\times\frac{1}{2}$

$8\times\frac{1}{2}=4$ The expression is now $13 - 9 + 4$

Step4: Calculate the result

$13-9=4$, then $4 + 4=8$

Answer:

$8$