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Roman55 [17]
3 years ago
15

Consider the system of linear equations.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

  • 2y=x +10

       slope = 0.5

       y intercept(put x =0) =5

  • 3y =3x +15

      slope = 1

       y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of  point of intersection of line on graph will come.

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Doreen schmidt is a chemist. She needs to prepare 36 ounces of a 10% shydrochloric acid solution. Find the amount of 18% solutio
emmainna [20.7K]
Total = 36oz
Amount of 18% solution = x
Amount of 9% solution = 36 - x

Using the fact that (amount of solution) * (percent HCl) = amount HCl we can set up an expression for the amount HCl in a mixture of 18% and 9% solutions with a total volume of 36oz.

Amount of HCl = x*0.18 + (36 - x)*0.09

If we divide this by the amount of solution we get percent HCl, and we have a target of 10% HCl. Now we have an equation to solve,

[x*0.18 + (36 - x)*0.09]/36 = 0.1

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x = 4

Therefore,
4 ounces of 18% HCl solution and 32 ounces of 9% HCl solution

Check:
[(4*.18) + (.09*32)]/36 = 0.1?
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5 0
3 years ago
Mr Tom shared $300 between his two sons aged 15 years and 10 years in
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Answer:

Son of 15 years $180

Son of 10 years $120

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   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

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Son of 10 years $120

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24 3-pound bags(72 pounds) and 10 5-pound bags(50 pounds). 72+50 = 122 pounds, 24+10 bags = 34 bags.

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