Certainly, let's evaluate the expression step-by-step:
The expression given is [tex]\(\frac{1}{2} \times (4 + 8)\)[/tex].
1. First, evaluate the expression inside the parentheses:
[tex]\[
4 + 8 = 12
\][/tex]
2. Next, multiply the result by [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[
\frac{1}{2} \times 12
\][/tex]
3. Multiplying [tex]\(\frac{1}{2}\)[/tex] by 12:
[tex]\[
\frac{1}{2} \times 12 = \frac{12}{2} = 6
\][/tex]
Hence, the number of hours Ms. Nakos works the last week of school is:
[tex]\[
\boxed{6}
\][/tex]
