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Lucy wrote 4(3x + 16) for the number of pieces of fruit in 4 baskets. Joey wrote 4x + 8x + 64. Which is the best explanation as to why these two expressions are equivalent?

A. You can use the distributive property to simplify Lucy’s expression to 12x + 64, and you can combine like terms to simplify Joey’s expression to 12x + 64.

B. When you use the distributive property to distribute 4 in Lucy’s expression, you get Joey’s expression.

C. When you combine the like terms 4x and 8x in Joey’s expression, you get an expression that is equivalent to 4 times Lucy’s expression.

D. You can use the commutative property of multiplication to write Lucy’s expression as (3x + 16) 4 and you can use the commutative property of addition to write Joey’s expression as 8x + 4x + 64.

Respuesta :

it may be A because, you can use the distributive property to simplify Lucy’s expression to 12x + 64 and you can combine like terms to simplify Joey’s expression to 12x + 64.  



The equation 4(3x + 16) is equivalent to 8x + 4x + 64 because you can use the distributive property to simplify Lucy’s expression to 12x + 64, and you can combine like terms to simplify Joey’s expression to 12x + 64.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

4(3x + 16)

Hence:

= 4(2x + x + 16)

= 8x + 4x + 64

The equation 4(3x + 16) is equivalent to 8x + 4x + 64 because you can use the distributive property to simplify Lucy’s expression to 12x + 64, and you can combine like terms to simplify Joey’s expression to 12x + 64.

Find out more on equation at: https://brainly.com/question/2972832

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