To simplify the expression given by
[tex]\[
\frac{4(-8 + 4.5)}{6.25 + (-8.25)}
\][/tex]
we can follow these step-by-step calculations:
1. Calculate the value inside the parentheses in the numerator:
[tex]\[
-8 + 4.5 = -3.5
\][/tex]
2. Multiply this result by 4:
[tex]\[
4 \times (-3.5) = -14.0
\][/tex]
So the numerator of the expression is [tex]\(-14.0\)[/tex].
3. Calculate the value inside the parentheses in the denominator:
[tex]\[
6.25 + (-8.25) = 6.25 - 8.25 = -2.0
\][/tex]
So the denominator of the expression is [tex]\(-2.0\)[/tex].
4. Divide the numerator by the denominator:
[tex]\[
\frac{-14.0}{-2.0} = 7.0
\][/tex]
Thus, the simplified value of the expression is:
[tex]\[
7
\][/tex]
Given the multiple choice options are [tex]$-25$[/tex], [tex]$-7$[/tex], [tex]$7$[/tex], and [tex]$25$[/tex], the correct answer is [tex]\(7\)[/tex].
