Use the properties of operations to add 9(k+1/3)+10(1/2k−1) .(1 point)
Responses
14k−2/3
19 12k−23
14k−7
14k+13
To add the given expression, we can distribute the coefficients 9 and 10 to each term inside the parentheses:
9(k + 1/3) + 10(1/2k - 1)
= 9k + 9(1/3) + 10(1/2k) - 10(1)
= 9k + 3 + 5k - 10
Now, we can combine like terms:
= (9k + 5k) + (3 - 10)
= 14k - 7
Therefore, the simplified expression is 14k - 7.