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If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be? If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be

2 Answers

5 votes

Final answer:

The longer piece of the rope must be 24 feet long.

Step-by-step explanation:

To find the lengths of the two pieces of rope, we can set up an equation. Let x represent the length of the shorter piece. The longer piece would then be 2x. The sum of the lengths of the two pieces should be equal to the total length of the rope: x + 2x = 36 feet. Simplifying the equation, we have 3x = 36. Dividing both sides by 3, we find that x = 12. Since the longer piece is twice as long as the shorter piece, it must be 2 * 12 = 24 feet.

User Mona Jalal
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4.8k points
0 votes

Answer:

24feet

Step-by-step explanation:

the first rope well give it letter X and the longer rope we'll give it 2x since it's twice then we add the two unknown numbers which must lead to a total of 36feet when we add the unknown digits we'll get 3x then simply the unknown digit with the total and u'll get 12 replace the X from the first letters with 12by multiplying

User Danylo Zatorsky
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4.2k points