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Which expression is equivalent to the expression represented by the verbal phrase?

25% of the quantity of 208 plus n
A. n + 5,200
B. 25n + 5,200
C. n + 52
D. 0.25n + 52

Respuesta :

sqdancefan

Answer:

  D.  0.25n + 52

Step-by-step explanation:

You want to find an expression equivalent to "25% of the quantity of 208 plus n".

Math expression

The verbal phrase "208 plus n" is represented using the plus sign:

  208 + n

When that quantity is multiplied by 25%, the result is ...

  25% of (208 +n) = 0.25(208 +n)

This can be expanded using the distributive property to ...

  (0.25)(208) +0.25n = 52 +0.25n

The commutative property of addition lets us write the equivalent expression ...

  0.25n +52

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