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A. write and solve an equation to find x B. find the lengths of the first and second pieces.

A rope 25 feet long is cut into 3 pieces. the first piece is 2x feet long, the second is 5x feet long, and the third picece is 4 feet long

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Travina;
FIRST PIECE...2x
SECOND PIECE...5x
THIRD PIECE...4 feet
TOTAL...25 feet
 
(2x)+(5x)+4=25
Let's combine like terms...
7x+4=25
Let's subtract 4 from both sides...
-4+7x+4=25-4
7x=21
Let's divide both sides by 7...
(7x)/7=21/7
x=3
 
FIRST PIECE...2(3 feet)=6 feet
SECOND PIECE...5(3 feet)=15 feet
THIRD PIECE...4 feet
TOTAL...25 feet
 
Let's check our work...
6+15+4=25
25=25