Use the properties of operations to add 9(k+13)+10(12k−1).(1 point)Responses14k−2314 k minus Start Fraction 2 over 3 End Fraction14k−714 k minus 71912k−2319 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End Fraction14k+13

Answer 1

9(k+13) + 10(12k-1)

First, distribute the 9 and 10:
9k + 9(13) + 10(12k) - 10(1)

Multiply:
9k + 117 + 120k - 10

Combine like terms:
9k + 120k + 117 - 10

129k + 107

Answer 2

Use the properties of operations to add 9(k+1/3)+10(1/2k−1).(1 point)Responses14k−2314 k minus Start Fraction 2 over 3 End Fraction1/4k−7 1/4 k minus 7 19 1/2k−2/3 19 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End Fraction14k+13

Answer 3

9(k+1/3) + 10(1/2k-1)

First, distribute the 9 and 10:
9k + 9(1/3) + 10(1/2k) - 10(1)

Multiply:
9k + 3 + 5k - 10

Combine like terms:
9k + 5k + 3 - 10

14k - 7