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sergey [27]
3 years ago
10

A scientist is working with two different concentrations of hydrochloric acid (HCl) . One bottle is 70% HCl, and the other is 30

% HClFor their experiment they need 1 liter of 40% HCI How many liters of the 70% solution do they need ? [ Select ] How many liters of the 30% solution? [ Select
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

They need 0.75 liters of the 30% solution

Step-by-step explanation:

Let the number of liters of 70% needed be x while the number of 30% needed be y

Since they need a total of 1 liter 40%

Hence;

x + y = 1 •••••••(i)

Furthermore;

70% * x + 30% * y = 1 * 40%

0.7x + 0.3y = 0.4 ••••••(ii)

From equation i, x = 1-y

insert this into equation ii

0.7(1-y) + 0.3y = 0.4

0.7 -0.7y + 0.3y = 0.4

0.7 -0.4 = 0.7y -0.3y

0.4y = 0.3

y = 0.3/0.4

y = 0.75 liters

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The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

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<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

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Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

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x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

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A storage container for oil is in the shape of a cylinder with a diameter of 10 feet and a height of 17 feet which measurement i
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Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil
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Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

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<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

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Step-by-step explanation:

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