Answer :
Sure! Let's simplify the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex] step-by-step.
1. Evaluate the expression inside the parentheses first:
[tex]\[
12 + 4 = 16
\][/tex]
2. Next, multiply the result from the parentheses by 2:
[tex]\[
16 \times 2 = 32
\][/tex]
3. Add the result of the multiplication to the initial value (8.5):
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Finally, subtract 7 from the result:
[tex]\[
40.5 - 7 = 33.5
\][/tex]
So, the simplified value of the expression is [tex]\(33.5\)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{33.5} \][/tex]
1. Evaluate the expression inside the parentheses first:
[tex]\[
12 + 4 = 16
\][/tex]
2. Next, multiply the result from the parentheses by 2:
[tex]\[
16 \times 2 = 32
\][/tex]
3. Add the result of the multiplication to the initial value (8.5):
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Finally, subtract 7 from the result:
[tex]\[
40.5 - 7 = 33.5
\][/tex]
So, the simplified value of the expression is [tex]\(33.5\)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{33.5} \][/tex]