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Studentka2010 [4]
2 years ago
8

How many lengths of pipe 2 1/3 ft long can be cut from a pipe that is 63 ft long? Assume there is no kerf.

Mathematics
1 answer:
Zinaida [17]2 years ago
7 0
The answer is 27ft long
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Solve. Round your answer to the nearest thousandth.
Tom [10]

Answer:

x=0.936

Step-by-step explanation:

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2 years ago
james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
Solve the following equation for y<br> 1/2x+y=24<br> what is y?
Basile [38]

Answer:

y=-1/2x+24

Step-by-step explanation:

you solve for y by isolating the y on one side of the equation and the rest of the equation on the opposite side of the equal sign.

1/2x-1/2x+y=24-1/2x

y=24-1/2x

rewritten: y=-1/2x+24

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3 years ago
Large boxes hold 3 times as much as small boxes. Layla has packed 4 large boxes and 7 small boxes. If she has packed a total of
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A large box holds 3.6 cubic feet
6 0
3 years ago
Read 2 more answers
Solve the two step equation 8x+38=60
Paladinen [302]

Answer:

x = 2.75

Step-by-step explanation:

The goal here is to isolate the variable, or to get x by itself. We can do this by using simple math. The first step is to move every thing to the opposite side of x. We do this by subtracting 38 from 60, which leaves us with 22. Now we want divide 22 by 8. After doing this we are left with the equation x = 2.75. I know that at first fractions and decimals seem annoying and they feel like a lot of work. But if you take a second to really look at them, you will realize they are not that bad. As in most cases with math, looks can be deceiving

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3 years ago
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