Question

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

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

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

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

12(2)+1

Answer 1

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

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

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

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

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

Answer 2

To find an equivalent expression to \( 12(9 - 70) + (-29)0 \), we can simplify the original expression step by step.

First, simplify the term \( (-29)0 \):
\[
(-29)0 = 0
\]
Thus, the expression simplifies to:
\[
12(9 - 70) + 0 = 12(9 - 70)
\]

Now, calculate \( 9 - 70 \):
\[
9 - 70 = -61
\]
Substituting this back into the expression gives us:
\[
12(-61) = -732
\]

Next, let's check if any of the provided options also simplify to \(-732\).

1. **Option 1**: \( 12(9 - 1) + 1 \)
\[
9 - 1 = 8 \implies 12(8) + 1 = 96 + 1 = 97
\]
Not equivalent.

2. **Option 2**: \( 12(9 - 1) - 1 \)
\[
9 - 1 = 8 \implies 12(8) - 1 = 96 - 1 = 95
\]
Not equivalent.

3. **Option 3**: \( 12(9 - 0) + 0 \)
\[
9 - 0 = 9 \implies 12(9) + 0 = 108 + 0 = 108
\]
Not equivalent.

4. **Option 4**: \( 12(2) + 1 \)
\[
12(2) + 1 = 24 + 1 = 25
\]
Not equivalent.

None of the options given simplify to \(-732\).
Thus, it seems like there may have been a mix-up in the choices provided or in the initial calculation.

Since none of the choices are equivalent to the expression, please double-check the options or let me know if there's any other information or context to consider!

Answer 3

Let's break down the original expression \( 12(9 - 70) + (-29)0 \) step by step.

1. **Calculate \( (-29)0 \)**:
\[
(-29)0 = 0
\]

2. **Simplify the expression**:
\[
12(9 - 70) + 0 = 12(9 - 70)
\]

3. **Calculate \( 9 - 70 \)**:
\[
9 - 70 = -61
\]
Therefore:
\[
12(-61) = -732
\]

Now let’s evaluate the provided options to find an equivalent expression:

### Testing the options:

1. **Option 1**: \( 12(9 - 1) + 1 \)
\[
9 - 1 = 8 \implies 12(8) + 1 = 96 + 1 = 97
\]
Not equivalent.

2. **Option 2**: \( 12(9 - 1) - 1 \)
\[
9 - 1 = 8 \implies 12(8) - 1 = 96 - 1 = 95
\]
Not equivalent.

3. **Option 3**: \( 12(9 - 0) + 0 \)
\[
9 - 0 = 9 \implies 12(9) + 0 = 108 + 0 = 108
\]
Not equivalent.

4. **Option 4**: \( 12(2) + 1 \)
\[
12(2) + 1 = 24 + 1 = 25
\]
Not equivalent.

Given the four options, none of them were determined to be equivalent to \( -732 \).

### Additional Options
Now, looking at the fractional format that is not fully visible, below are equivalent, but we need to calculate if they arrive at \(-732\):

- **Checking \( \frac{1}{2}(9 - 1) + 1 \) or \( \frac{1}{2}(9 - 1) - 1 \)**:
- For \( \frac{1}{2}(9 - 1) + 1 \):
\[ 9 - 1 = 8 \implies \frac{1}{2}(8) + 1 = 4 + 1 = 5 \]

- For \( \frac{1}{2}(9 - 1) - 1 \):
\[ 9 - 1 = 8 \implies \frac{1}{2}(8) - 1 = 4 - 1 = 3 \]

So, based on the calculations: **none of the choices are equivalent to the original expression.** Please double-check the problem statement as it might contain inaccuracies.

If you need help with any of the individual options or more clarification, let me know!