Math Formula

What is the value of the variable "result" after this code is executed?

[tex]\[
\begin{array}{l}
\gg\ \textgreater \ a=7 \\
\gg\ \textgreater \ b=2 \\
\gg\ \textgreater \ c=0 \\
\gg\ \textgreater \ \text{result = a * b - b / (c + b)} \\
\gg\ \textgreater \ \text{result}
\end{array}
\][/tex]

Output: [tex]$\square$[/tex]



Answer :

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]