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

Answer 1

To simplify the expression 9(k+1/3) + 10(1/2k - 1), we will first distribute the coefficients:

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

Next, we will simplify each term:

9k + 9(1/3) is equal to 9k + 3

And 10(1/2k) is equal to (10/1) * (1/2k) = 10/(2k) = 5/k

Finally, we have:

9k + 3 + 5/k - 10

Now, we can combine like terms:

(9k - 10) + (5/k + 3)

Thus, the simplified expression is 9k - 10 + 5/k + 3.