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igor_vitrenko [27]
3 years ago
11

How many liters of 10% alcohol solution and 5% alcohol solution must be mixed to obtain 40 liters of 8%

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

x+y=40liters

10%x+5%y=8%×40

(2x+y)/20=8%×40

(2x+y)=64

x=24

y=16

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Anna11 [10]

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

  • The flat fee as the y-intercept.
  • The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

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  • B(x) = 40 + 30x.
  • C(x) = 60 + 20x.
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For 7 hours, the costs are given as follows:

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Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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