Use the properties of operations to add 9(k+13)+10(12k−1)

.(1 point)
Responses

14k−23
14 k minus Start Fraction 2 over 3 End Fraction

14k−7
14 k minus 7

14k+13
14 k plus 13

1912k−23

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 days ago

To simplify the expression \( 9(k + 13) + 10(12k - 1) \), we can use the distributive property to expand each term.

  1. Distribute \( 9 \) in \( 9(k + 13) \): \[ 9(k + 13) = 9k + 117 \]

  2. Distribute \( 10 \) in \( 10(12k - 1) \): \[ 10(12k - 1) = 120k - 10 \]

Now we can combine both results: \[ 9k + 117 + 120k - 10 \]

Next, combine like terms:

  1. Combine the \( k \) terms: \[ 9k + 120k = 129k \]

  2. Combine the constant terms: \[ 117 - 10 = 107 \]

Putting it all together, we have: \[ 129k + 107 \]

Since this expression does not match any of the provided responses, it seems like there might be some confusion in the question. However, based on the calculation, the simplified expression is:

\[ 129k + 107 \]

If we had to choose among the options, I would suggest reviewing them as none seem to match the calculated result. Please verify the problem statement or choices again.