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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Here is my process for solving this.

First I drew arrows that indicated I was moving the whole triangle 5 units to the left.

*Look at first attachment*

Then I drew another triangle using those new points. (The new triangle is in pink)

*Look at second attachment*

Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)

*Look at third attachment*

Then I drew the new triangle in blue using the new points.

*Look at fourth attachment*

Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.

*Look at fifth attachment*

The fifth attachment in green is the final product! Hope that helps.

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Answer:

18/(10-7)+2=8

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I hope you have a nice day!

if the radius of a circle is 8.1 mi, what is the circumference?

Answers

Answer:

206.12 mi

Step-by-step explanation:

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Answers

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Brandi has equal numbers of hip-hop songs and country songs loaded on her personal music player. She has it set to play songs on a random shuffle. Suppose Brandl is designing a simulation that could be used to estimate the probability that the next three songs to play are all hip-hop songs Which simulation design could Brandi use to estimate the probability?


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The answer to this is C.

pls answer this asap

Answers

Answer:

$20.44

Step-by-step explanation:

first solve for the whole thing

10 x 6 = 60

now to the red part

2 x 1.5 = 3

now the blue

r^2 * pi = a

2^2 * 3.14

4 * 3.14 = 12.56

now add red and blue

3 + 12.56 = 15.56

now subtract that sum from the whole

60 - 15.56 = 44.44

now do

44.44 / 10 = 4.444

now see how much it would cost for the grass

4.444 * 4.60 = 20.4424 ≈ 20.44

it would cost $20.44 to get the grass reseeded

Answer:

$20.44

Step-by-step explanation:

Hello!

I need help please...

What is [tex]\sqrt[450]{3,650}[/tex] as a divided.

Make a explanation to this... Do not copy, or go on g.oogle to get the answer to this...

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Answer: The Answer is in a fraction form

Step-by-step explanation:

9/73

It is in a fraction form

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Answers

Answer: s,djfhbewhbwejkhbkhbwqigqiygwurygqwygRwqyr

Step-by-step explanation:

find the volume of an icecream cone that has an hight of 4.6 in. and a diameter of 1.2 in.

Answers

Answer:

The volume would be 1.73 inches cubed.

Step-by-step explanation:

Use the formula for finding the volume of a cone, and plug in the given numbers.

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Simplify the equation, and you are left with..

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please help!!!!!!!!!!!!

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Answer:

Step-by-step explanation:

Three students were asked to evaluate two cubed. The beginning part of their work is shown. Which student’s work is correct, and how do you know? What is the value of two cubed? Select your answers from the drop-down lists. is correct because two cubed is the same as . The value of two cubed is .

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Answer:

-93

Step-by-step explanation:

Select all the quantities that describe a unit rate.


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A recipe calls for 3 cups of flour for 1 cake.

Emma drank 2 cups of coffee per day.

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Answer:

2, 3, 5

Step-by-step explanation:

2: 3 cups of flour per cake

3: 2 cups of coffee per day

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2,3, and 5 hope this helps :)

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VOLLEYBALL. This is for my volleyball players. Name 5 facts about volleyball terminology!!

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Answer:

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Step-by-step explanation:

PLS HELP ME!!
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When the graph reaches his point
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lol ok so im stuck on this pls help

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Answer:

The slope is -5

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Step-by-step explanation:

Solve the equation for y

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Subtract 5x from each side

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Answer:

Slope -5

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

because you multiply 17 x16

Step-by-step explanation:

✰[tex] \underline{ \underline{ \large{ \tt{ \bold{ \purple{G \: I \: V \: E \: N}}}}} }: [/tex]

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Area of the given parallelogram ( P )

✰ [tex] \underline{ \underline{ \large{ \bold{ \pink{ \tt{ S \: O \: L \: U \: T\: I \: O\:N}}}}}} : [/tex]

[tex] \boxed{ \large{ \bold{{\sf{Area \: of \: a \: parallelogram \: ( \: A \: ) \: = b \: \times \: h}}}}}[/tex]

Plug the known values and then multiply !

⟷ [tex] \large{ \tt{17 \: in \: \times \: 12 \: in}}[/tex]

⟷ [tex] \large{ \tt{ 272 \: {in}^{2} }}[/tex]

☥ [tex] \red{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{272 \: {in}^{2} }}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \mathfrak{ \: Carry \: On \: Learning}}[/tex] !!

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giving brainliest if u answer

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From top to bottom :
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I think that is right and I hope it helps!
From start to end
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Answers

Answer:

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[:~Brainliest appreciated~:]

Have a wonderful day!

-- Juri Davis

Answer:

y= -100 x= 100

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Answers

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Answer:

1/6

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Answer:

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Answer:

The answer is -220000000.

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Answer:

D

Step-by-step explanation:

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Answers

Answer:

19.206

Step-by-step explanation:

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Hope this helps

19.206 i got the question right

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Answers

Answer:

6 months

Step-by-step explanation:

27 + 8x = 75

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Answer:

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Step-by-step explanation:

What number does x represent in the equation below?

3x + 7 = 34

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27 is the final answer

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4km/h

.........................................

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Answers

Answer:

-2[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

So this is simple substitution, [tex]\frac{1}{2}[/tex](-[tex]\frac{1}{5}[/tex])-[tex]\frac{2}{3}[/tex](3)=> -[tex]\frac{1}{10}[/tex] - [tex]\frac{6}{3}[/tex]=> [tex]-\frac{1}{10}[/tex] - 2= [tex]-2\frac{1}{10}[/tex].

-2 1/10

Do you give brainliest?

Here is a situation: I have $5. I save $2 each week. How many weeks do I need to save until I have at least $50? Write the inequality for this situation and solve it. Discuss the meaning of your solution.

Answers

Answer:

22 Weeks

Step-by-step explanation:

You just divide 50 by 2 to get 25 and it will take you 3 weeks to get the equivalent of 5 dollars therefore you subtract 3 from 25 and get 22, meaning that it will take 22 Weeks for you to save at least $50. The meaning of my solution is that I just used basic division addition and subtraction to find my answer.

Answer:

1.  it will take you 22.5 weeks or 23 if you are supposed to round it

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Step-by-step explanation:

i calculated it.

HELP pls if right get brainlist
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Answer:

x = 115

Step-by-step explanation:

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