Question

Which two expressions are equivalent to 20r+60t? (Pick two choices)

A) 4(5r+15t)
B) 5(5r+12)
C) 60(20r+t)
D) 20(r+3t)

Answer 1

Expressions A) 4(5r+15t) and D) 20(r+3t) are equivalent to 20r+60t, as both result in the same terms after distributing the multiplication over the addition.

Step-by-step explanation:

The student is asking which two expressions are equivalent to 20r+60t. To determine equivalency, you need to perform algebraic manipulations and look for expressions that result in the same terms after simplification.

• The expression A) 4(5r+15t) simplifies to 20r+60t when you distribute the 4, making it equivalent to the given expression.
• The expression D) 20(r+3t) also simplifies to 20r+60t when you distribute the 20, so it is also equivalent.

Therefore, the correct choices are A) 4(5r+15t) and D) 20(r+3t).