To solve the mathematical expression [tex]\(4.5(8+3)\)[/tex], let's break it down step-by-step:
1. Inside the Parentheses:
First, calculate the sum inside the parentheses.
[tex]\[
8 + 3 = 11
\][/tex]
2. Distribution:
Next, multiply the result by 4.5.
[tex]\[
4.5 \times 11 = 49.5
\][/tex]
So, the numerical result of [tex]\(4.5(8+3)\)[/tex] is:
[tex]\[
49.5
\][/tex]
Therefore, the simplified form is [tex]\(49.5\)[/tex]. The options presented (A, B, 6, (4)) don't directly apply to this particular step-by-step solution. If these options are presumed to involve variable [tex]\(a\)[/tex], which is not present in the original specific calculation of [tex]\(4.5(8+3)\)[/tex], the only correct interpretation is the numerical simplification to [tex]\(49.5\)[/tex].