Select the correct answer.If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression. A. x + 12 B. 2x − 60 C. 5x + 60 D. 2x − 60
Question
Select the correct answer.If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression. A. x + 12 B. 2x − 60 C. 5x + 60 D. 2x − 60
Solution
The equivalent expression to 5(x + 12) is C. 5x + 60.
Here's why:
The expression 5(x + 12) can be simplified by using the distributive property of multiplication over addition. This property states that the product of a number and a sum, such as 5(x + 12), is equal to the sum of the products of the number and each addend.
So, 5(x + 12) = 5x + 512 = 5x + 60.
Therefore, the correct answer is C. 5x + 60.
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