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A production applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is 2/27 inch thick, how many applications will be needed to build up 2/3 inch of clear finish.

Respuesta :

We know that

• Each protective coat is 2/27 inches thick.

,

• We need to fill 2/3 inches of this protective coat.

To solve this problem, we need to know the total number of the application needed to fill 2/3 inches. We can form the following expression

[tex]\frac{2}{27}x=\frac{2}{3}[/tex]

We solve for x

[tex]x=\frac{2\cdot27}{3\cdot2}=\frac{27}{3}=9[/tex]

Therefore, we need 9 applications in total.

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