Question

the expression 8x + 12y represents the sum of harry and mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?

Answer 1

Answer:

Given the expression that represents the sum of harry and mike's total monthly wages:

8x+12y

where

x represents the  number of hours Harry worked

y represents the number of hours Mike worked.

The Distributive property says that:

$a\cdot (b+c) = a\cdot b+ a\cdot c$

$8x+12y$

Apply the distributive property:

$4 \cdot 2x + 4 \cdot 3y$

$4(2x+3y)$

The another way of writing the given expression as: $4(2x+3y)$

And we conclude that the rewriting expression $4(2x+3y)$  represents the sum of harry and mike's total weekly wages.