College

What is the simplified value of the expression below?

[tex]8.5 + (12 + 4) \times 2 - 7[/tex]

A. 10.5
B. 33.5
C. 88.5
D. 97.5

Answer :

Let's simplify the expression step by step:

The expression is:

[tex]\[ 8.5 + (12 + 4) \times 2 - 7 \][/tex]

1. Evaluate the parentheses:
First, solve the operation inside the parentheses:
[tex]\[ 12 + 4 = 16 \][/tex]

2. Perform the multiplication:
Take the result from the parentheses and multiply it by 2:
[tex]\[ 16 \times 2 = 32 \][/tex]

3. Complete the addition and subtraction:
Now use this result in the original expression:
[tex]\[ 8.5 + 32 - 7 \][/tex]

4. First, add 8.5 and 32:
[tex]\[ 8.5 + 32 = 40.5 \][/tex]

5. Then subtract 7 from the result:
[tex]\[ 40.5 - 7 = 33.5 \][/tex]

So, the simplified value of the expression is [tex]\( 33.5 \)[/tex].