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

1/2(9−1)+1

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To simplify the expression \( 12(9 - 70) + (-29)0 \), we can start by calculating each part:

  1. Calculating \( (-29)0 \): Any number multiplied by 0 is 0, so \( (-29)0 = 0 \).

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

  3. Now calculate \( 9 - 70 \): \[ 9 - 70 = -61 \]

  4. Now substitute that back: \[ 12(-61) = -732 \]

So the entire expression simplifies to \( -732 \).

Now, let's evaluate each of the provided options to see which one is equivalent to \( -732 \):

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

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

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

  4. Option 4: \( 12(2) + 1 = 24 + 1 = 25 \)

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

None of these options equal \( -732 \). It seems there may be an oversight or misinterpretation in the options provided.

Please double-check the response options or clarify if there are any conditions or modifications to the original problem.