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4 years ago

This is #5 Algebra-Find the value for x I know it’s 11 but how do I get there.

Mathematics

1 answer:

Sergeeva-Olga [200]4 years ago

3 0

Answer:

x = 11

Step-by-step explanation:

the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is

x + 5 = $\frac{1}{2}$ (3x - 1)

multiply both sides by 2 to eliminate the fraction

2x + 10 = 3x - 1 ( subtract 3x from both sides )

- x + 10 = - 1 ( subtract 10 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

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The recycling plant processes 480 tons of glass per day.

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Quantity of glass recycled each minute = $\frac{1}{3}\ tons$

We know that;

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Therefore;

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3 years ago

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4 years ago

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jek_recluse [69]

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3 years ago

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olya-2409 [2.1K]

Answer: velocity-time graph

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3 years ago

Please explain how to do this, I'm using all my points A. 40 L B. 80 L C. 4 L D. 8L

exis [7]

Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

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0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0

3 years ago