A 19-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. If the shorter piece is x feet long find the lengths of both peices

Answers

Answer 1

Answer: here,
let the longer piece be y and shorter piece be x
now,
according to the question,
x+y=19 .............................equation (1)
y=4+2x ...............................equation (2)

from equation 1
x+y=19
x+4+2x=19 substituting the value of y from equation 2
3x=19-4
x=(19-4)/3
x=5

now
substituting value of x in equation (2)
y=4+2(5)
y=4+10
y=14

so , the longer piece is 14 foot and the shorter piece is 5 foot

Answer 2

Answer:

Final answer:

The shorter piece of string is 5 feet long and the longer piece is 14 feet long. These lengths were determined by setting up and solving an equation based on the given facts.

Explanation:

In this problem, we need to find the lengths of two sections of a 19-foot piece of stringthat was split such that the longer piece is 4 feet longer than twice the length of the shorter one. Let's denote the length of the shorter piece as 'x'. Thus, the longer piece of string is 2x+4 (twice the length of the shorter piece, plus an additional 4 feet).

Next, we set up an equation based on the information given: the sum of the lengths of the shorter and the longer sections of string equals 19 feet, so x + (2x+4) = 19. Simplify the equation to 3x + 4 = 19, subtract 4 from both sides to give 3x = 15, and then divide by 3 to solve for x, the length of the shorter piece, which is 5 feet. Therefore, the longer piece, by substituting x=5 in 2x+4, is 14 feet.

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Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has......
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Answers

Scott = Anish ÷ 3 or 1/3 Anish
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CHECK?

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let x = # of computer games nick has
then
Anish has 1/2x games
and
Scot has 1/2*1/3 = 1/6x games
thus
1/6x + 1/2x + x = 140
1/6x + 3/6x + x = 140
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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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