Question

use properties of operations to add 9(k+13)+10(12k−1).(1 point)
Responses

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

14k−7

Answer 1

To simplify the expression \( 9(k+13) + 10(12k-1) \) using properties of operations, we can distribute and combine like terms.

1. **Distribute**:
\[
9(k + 13) = 9k + 117
\]
\[
10(12k - 1) = 120k - 10
\]

2. **Combine the results**:
\[
9k + 117 + 120k - 10
\]

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

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

None of the provided responses match this, so it appears there may have been a misunderstanding in the provided options or an error in the calculations. The correct simplified expression based on the operations is \( 129k + 107 \).