Certainly! Let's solve the expression step by step in detail.
We are given the mathematical expression:
[tex]\[ 9.25(18.4 - 2 \cdot 1.2) \][/tex]
1. Evaluate the expression inside the parentheses first:
[tex]\[
18.4 - 2 \cdot 1.2
\][/tex]
2. Calculate the multiplication within the parentheses:
[tex]\[
2 \cdot 1.2 = 2.4
\][/tex]
3. Subtract the result from 18.4:
[tex]\[
18.4 - 2.4 = 16
\][/tex]
4. Now, multiply the result by the coefficient 9.25:
[tex]\[
9.25 \cdot 16 = 148
\][/tex]
So, the detailed solution goes through calculating the internal multiplication, the subtraction, and then multiplying by the external coefficient.
The value inside the parentheses is:
[tex]\[ 18.4 - 2 \cdot 1.2 = 16 \][/tex]
And the final result of the expression is:
[tex]\[ 9.25 \cdot 16 = 148 \][/tex]
Thus, the full solution with numbers is:
[tex]\[ 9.25(18.4 - 2 \cdot 1.2) = 148 \][/tex]
