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.