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Anon25 [30]
2 years ago
7

In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 2 barrels per minute.

A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Simplify and put into Slope-Intercept form
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

see below

Step-by-step explanation:

First line:

y = mx+b  where m is the slope and b is the y intercept

y = 2x + 10

Second line

y = mx+b

y = 3x+0  since there are no barrels filled on this line when they flip the switch

Setting the two equations equal

2x+10 = 3x

Subtract 2x from each side

2x+10-2x= 3x-2x

10 = x

Each line will have filled 10 barrels when they numbers are equal.

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For this case we have the following equation:

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3x = -x + 3

We add x to both sides of the equation:

3x + x = 3\\4x = 3

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x = \frac {3} {4}

Thus, the correct option is option B

Answer:

x = \frac {3} {4}

Option B

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Answer:

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Step-by-step explanation:

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Larry read a 400400400-page book. He read at a rate of 101010 pages per day for ddd days. Write an equation that could be used t
ira [324]

Answer:

From Larry's rate, the equation can be given as D = T/101010

Step-by-step explanation:

Larry's book has 400400400 pages

His reading rate is 101010 pages per day

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