Question
Solve the multi-step problem (1/2)⋅4^2−(4−6)/2
.(1 point)
Responses
9
9
3
3
5
5
7
.(1 point)
Responses
9
9
3
3
5
5
7
Answers
GPT-4o mini
To solve the expression \((\frac{1}{2}) \cdot 4^2 - \frac{(4 - 6)}{2}\), we can follow these steps:
1. Calculate \(4^2\):
\[
4^2 = 16
\]
2. Multiply by \(\frac{1}{2}\):
\[
\frac{1}{2} \cdot 16 = 8
\]
3. Now, calculate \(4 - 6\):
\[
4 - 6 = -2
\]
4. Divide \(-2\) by \(2\):
\[
\frac{-2}{2} = -1
\]
5. Now substitute these values back into the expression:
\[
8 - (-1) = 8 + 1 = 9
\]
So the final answer is \(\boxed{9}\).
1. Calculate \(4^2\):
\[
4^2 = 16
\]
2. Multiply by \(\frac{1}{2}\):
\[
\frac{1}{2} \cdot 16 = 8
\]
3. Now, calculate \(4 - 6\):
\[
4 - 6 = -2
\]
4. Divide \(-2\) by \(2\):
\[
\frac{-2}{2} = -1
\]
5. Now substitute these values back into the expression:
\[
8 - (-1) = 8 + 1 = 9
\]
So the final answer is \(\boxed{9}\).