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URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. what is the length of the first piece, the second piece, and third piece?

Respuesta :

Answer:

Step-by-step explanation:

let length of first piece = x in

length of second piece = 2x

length of third piece = 5x

x+2x+5x= 16

8x =16

x =16/8

x=2

length of :

first piece =2 inches

second piece = 4 inches

third piece = 10 inches..

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Answer:

2, 4, 10 in

Step-by-step explanation:

The first piece is x thus the second piece is 2x ( twice as long as first ) and

the third piece is 5x ( five times as long as the first )

Add the 3 together and equate to 16

x + 2x + 5x = 16, that is

8x = 16 ( divide both sides by 2 )

x = 2

Thus

first piece = x = 2 in

second piece = 2x = 2 × 2 = 4 in

third piece = 5x = 5 × 2 = 10 in

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