Mathematics Middle School

A tank can hold a maximum of 400 gallons of water. The volume of water when pumping water into the tank can be determined by the function f (m) = 12.5m + 25 where m is the number of minutes that the pump is running and f(m) is the volume of gallons of water in the tank. If the tank must maintain a minimum of 25 gallons of water, which inequality represents the domain of this situation?
(Hint: The variable f(m) is like "y" and m is like "x")
0 < m < 400
30 < m < 400
25 < m < 400
0 < m < 30

Answers

Answer 1

Inequalities help us to compare two unequal expressions. The inequality that represents the domain of this situation is 0<m<30.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that the volume of the tank should be between 400 gallons of water to 25 gallons of water. While the function of the volume of the water is given as,

f(m) = 12.5m + 25,

Now to know the value of m for which the volume of water in the tank is 400 gallons.

[tex]f(m) = 12.5m + 25\\\\400=12.5+25\\\\375=12.5m\\\\m = 30[/tex]

Also, the value of m for which the volume of the water in the tank is 25 gallons is,

[tex]f(m) = 12.5m + 25\\\\25=12.5+25\\\\0=12.5m\\\\m = 0[/tex]

Hence, the inequality that represents the domain of this situation is 0<m<30.

Learn more about Inequality:

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Answer:

3.5 yards each

Step-by-step explanation:

Divide 7 by the two people to get 3.5. Hope it helped!

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Add all of them and you get 50 and you can get a 100 if you double them so when black is 15 it’s 30 because you doubled it and the rest doesn’t have any 30 on black so the answer is D

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\

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Answers

It’s B



Glad I could help

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constructing a congruent segment

Answers

Answer: congruent segment

Step-by-step explanation: it is the same segment on a different radius of a circle

The picture represents a final step used in constructing a congruent segment. The correct option is D.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

In the given two figures the two angles are drawn. From the first angle, the measure of the second image is drawn. In the final step of the construction, the scale is used to draw the segment of the line of exact same length as the previous image. So it is a congruent segment of the line.

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Number of Science Homework Assignments Each Week

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Answer:

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PLZ I NEED HELP, will give BRAINS

Answers

Answer:

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Step-by-step explanation:

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100% is the same number.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer

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Step-by-step explanation:

:-)

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I saw this question though, that's weird lol

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Please see image below

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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