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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

3 answers

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!

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

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!