Question

Question
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+13
14 k plus 13

1912k−23
19 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End Fraction

14k−7

Answer 1

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

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

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

3. Now, combine these results:
\[
9k + 117 + 120k - 10
\]

4. Combine like terms:
\[
(9k + 120k) + (117 - 10) = 129k + 107
\]

Thus, the simplified expression is:
\[
129k + 107
\]

However, none of the provided responses match this result, so none of the given options apply to this calculation.