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12. simplify an expression for the area of the rectangle. 20 (4\\frac{2…

Question

  1. simplify an expression for the area of the rectangle.

20 (4\frac{2}{5}x - 5)
\frac{22}{15}×\frac{204}{1}=\frac{88}{1}
\frac{88x - 100}{}

  1. mrs. mckinney asked her students to create an expression that includes the distributive

Explanation:

Step1: Convert the mixed number to an improper fraction

$4\frac{2}{5}=\frac{4\times5 + 2}{5}=\frac{22}{5}$
So the expression becomes $20(\frac{22}{5}x-5)$

Step2: Apply the distributive property $a(b - c)=ab-ac$

$20\times\frac{22}{5}x-20\times5$
For $20\times\frac{22}{5}x$, $20\div5 = 4$, then $4\times22x=88x$
For $20\times5 = 100$

Answer:

$88x - 100$