Use the properties of operations to add 9(k+1/3)+10(1/2k−1) .(1 point)

Answer 1

To simplify the expression, we can apply the distributive property.

First, we distribute 9 to k+1/3:
9(k+1/3) = 9k + (9 * 1/3) = 9k + 3

Next, we distribute 10 to 1/2k-1:
10(1/2k-1) = 10 * 1/2k - 10 * 1 = 5k - 10

Now we can combine the two terms:
(9k + 3) + (5k - 10) = 9k + 5k + 3 - 10 = 14k - 7

Therefore, 9(k+1/3)+10(1/2k−1) simplifies to 14k - 7.