Question

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

Answer 1

To add these two expressions, we need to first simplify each expression separately, and then combine them.

For the first expression, 9(k + 1/3), we can distribute the 9 to both terms inside the parentheses:

9(k) + 9(1/3)

which simplifies to:

9k + 3

Now, let's simplify the second expression, 10(1/2k - 1). Again, we can distribute the 10:

10(1/2k) - 10(1)

which simplifies to:

5/k - 10

Now we can add the simplified expressions:

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

Since these are two separate terms, we can only combine like terms. The first term, 9k + 3, cannot be combined with the second term, 5/k - 10, because they have different variables and denominators.

Therefore, the final expression when adding 9(k+1/3) and 10(1/2k-1) is:

9k + 3 + 5/k - 10