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3 years ago

How many ml of 1:4 solution and how many ml of sterile water are needed to prepare 600 ml of 1:20 solution ?

Mathematics

1 answer:

Delvig [45]3 years ago

4 0

Answer:

Approximately 143 mL of 1:4 solution and 457 mL of water

Step-by-step explanation:

A 1:4 solution has a concentration of 1/(1+4) = 1/5 or 20%.

Similarly, a 1:20 solution has a concentration of 1/(1+20) = 1/21 or 4.76%.

If x is the mL of 20% solution and y is the mL of water, then:

x + y = 600

1/5 x = 1/21 (600)

Solve:

x = 5/21 (600)

x ≈ 143

y ≈ 457

You need approximately 143 mL of 1:4 solution and 457 mL of water.

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The population in the trapezoid-shaped region shown is about 3000 people. How many people are there per square mile?

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Answer: $\frac{3,000}{A}$

Step-by-step explanation:

<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>

For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

$A=\frac{h(B+b) }{2}$

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Step-by-step explanation:

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$\text{ Line 1: }y=3x+3$

$\text{ Line 2: }y=-3x-5$

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Let's go through each of the answer choices.

Parallel?

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Since they have different slopes, they are not parallel.

Perpendicular?

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For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

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Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

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