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3 years ago

Which of the following is the solution to the inequality below? 9-3x>2(x-3)

1 answer:

5 0

9 - 3x > 2(x - 3)
9 - 3x > 2x - 6
Subtract 2x from both sides.
9 -5x > -6
Subtract 9 from both sides.
-5x > -15
Divide both sides by-5.
x < 3

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Vsevolod [243]

Answer:

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

Step-by-step explanation:

Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:

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The sum of the concentration of juice on each can must be equal to the final product, therefore:

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We can now solve the system of equations as shown below:

$\left \{ ({{x + y=15})*(-0.1) \atop {0.25*x + 0.1*y=3}} \right. \\\left \{ {{-0.1*x - 0.1*y=-1.5} \atop {0.25*x + 0.1*y=3}} \right. \\-0.1*x + 0.25*x = 3 - 1.5\\0.15*x = 1.5\\x = \frac{1.5}{0.15} = 10\\y = 15 - x = 15 - 10 = 5$

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

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