To determine the value of the variable [tex]\( \text{result} \)[/tex] after the given code is executed, let’s go through the steps one by one:
1. Assign Values to Variables:
- [tex]\( a = 7 \)[/tex]
- [tex]\( b = 2 \)[/tex]
- [tex]\( c = 0 \)[/tex]
2. Calculate the expression for `result`:
The expression given is:
[tex]\[
\text{result} = a \cdot b - \frac{b}{c + b}
\][/tex]
3. Substitute the values into the expression:
- First, substitute [tex]\( a = 7 \)[/tex], [tex]\( b = 2 \)[/tex], and [tex]\( c = 0 \)[/tex] into the expression:
[tex]\[
\text{result} = 7 \cdot 2 - \frac{2}{0 + 2}
\][/tex]
4. Perform the operations inside the expression:
- Calculate the multiplication [tex]\( 7 \cdot 2 \)[/tex]:
[tex]\[
7 \cdot 2 = 14
\][/tex]
- Calculate the addition inside the denominator of the fraction [tex]\( c + b \)[/tex]:
[tex]\[
0 + 2 = 2
\][/tex]
- Calculate the division:
[tex]\[
\frac{2}{2} = 1
\][/tex]
5. Combine the results:
- Now, substitute the results back into the expression:
[tex]\[
\text{result} = 14 - 1
\][/tex]
- Finally, perform the subtraction:
[tex]\[
14 - 1 = 13
\][/tex]
Therefore, the value of the variable `result` is:
[tex]\[
\boxed{13.0}
\][/tex]
