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A 279-foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is as long as the second. How long is each piece of rope?

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MathPhys

Step-by-step explanation:

Let's say x is the length of the first piece.

The second piece is 2x.

The third piece is 2x.

So the total length is:

x + 2x + 2x = 279

5x = 279

x = 55.8

That means 2x = 111.6.

So the first piece is 55.8 feet, the second piece is 111.6 feet, and the third piece is also 111.6 feet.

sandlee09

Answer:

Piece 1 : 55.8 ft

Piece 2: 111.6 ft

piece 3: 111.6 ft

Step-by-step explanation:

From the question we can see that the total length of the rope is 279 ft and as mentioned it is cut into three pieces. Since the first piece has no length we can give it a variable of x . Piece two is twice as long as piece one, so we can give it a value of 2x . Lastly, piece three is the same as piece two, so it would also be 2x.

So we can now say the following:

[tex]x + 2x + 2x = 279ft[/tex]  .... now we can solve for x.

[tex]5x = 279[/tex]

[tex]x = 55.8 ft[/tex]

So we can see that piece one is 55.8 ft long . Now we can use this value to find pieces two and three.

[tex]2x = P2[/tex]

[tex]2(55.8) = P2[/tex]

[tex]111.6 = P2[/tex]

So pieces two and three are 111.6 ft long

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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