Question

Which of the following is an equivalent expression to  12(9−70)+(−29)0
? (1 point)
Responses

12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0

12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1

12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1

12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
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Answer 1

To find which expression is equivalent to \( 12(9 - 70) + (-29)(0) \), let's first simplify the original expression step by step.

1. **Calculate \( (-29)(0) \)**: Any number multiplied by zero is zero, so:
\[
(-29)(0) = 0.
\]

2. **Now simplify \( 12(9 - 70) \)**:
\[
9 - 70 = -61,
\]
so:
\[
12(9 - 70) = 12(-61) = -732.
\]

3. **Combine the results**:
\[
12(9 - 70) + 0 = -732 + 0 = -732.
\]

Now, let's evaluate the options provided to find any that are equivalent to \( -732 \).

1. **Option 1**: \( 12(9 - 0) + 0 \)
\[
12(9) + 0 = 108 + 0 = 108.
\]

2. **Option 2**: \( \frac{1}{2}(9 - 0) + 0 \)
\[
\frac{1}{2}(9) + 0 = 4.5 + 0 = 4.5.
\]

3. **Option 3**: \( 12(9 - 1) - 1 \)
\[
12(8) - 1 = 96 - 1 = 95.
\]

4. **Option 4**: \( \frac{1}{2}(9 - 1) + 1 \)
\[
\frac{1}{2}(8) + 1 = 4 + 1 = 5.
\]

5. **Option 5**: \( 12(2) + 1 \)
\[
12(2) + 1 = 24 + 1 = 25.
\]

6. **Option 6**: \( 12(9 - 1) + 1 \)
\[
12(8) + 1 = 96 + 1 = 97.
\]

None of the evaluated options are equivalent to \( -732 \).

### Conclusion:
The expression \( 12(9 - 70) + (-29)(0) \) simplifies to \( -732 \), which does not match any provided options. Thus, none of the responses are correct.