A wading pool is being filled with water from a garden hose at a rate of
6 gallons per minute. If the pool already contains 80 gallons of water and can hold
152 gallons, after how long will the pool overflow?
Assume m minutes later, the pool would overflow. Write an equation to model this scenario. There is no need to solve it.

Answers

Answer 1
152-80 = 72+1 (overflow). Divided by 6
Answer 2

A wading pool is being filled with water from a garden hose at a rate of

6 gallons per minute. If the pool already contains 80 gallons of water and can hold 152 gallons, and it will take 12 minutes for the pool to overflow.

In this scenario, we have a wading pool being filled with water from a garden hose at a constant rate of 6 gallons per minute. The pool already contains 80 gallons of water, and its maximum capacity is 152 gallons. We want to find out how long it will take for the pool to overflow.

Let's use "t" as the variable representing time in minutes. After "t" minutes, the amount of water in the pool will be the initial 80 gallons plus the additional water being filled by the hose at a rate of 6 gallons per minute. We can express this mathematically as:

Amount of water in the pool after "t" minutes = 80 gallons + 6 gallons/minute * "t" minutes

Now, we want to find out when the pool will overflow. The pool's capacity is 152 gallons, so we set up an equation to represent this:

Amount of water in the pool after "t" minutes = 152 gallons

Substituting the earlier expression for the amount of water in the pool after "t" minutes:

80 gallons + 6 gallons/minute * "t" minutes = 152 gallons

Now, we have an equation to model the scenario: "80 + 6t = 152".

To find the time "t" it takes for the pool to overflow, we need to solve this equation for "t."

To solve for "t," we need to find the value of "t" that satisfies the equation we derived earlier:

80 + 6t = 152

To isolate "t," we'll perform the following steps:

Subtract 80 from both sides to move the constant term to one side of the equation.

80 + 6t - 80 = 152 - 80

This simplifies to:

6t = 72

Divide both sides by 6 to solve for "t."

t = 72 / 6

t = 12

So, it will take 12 minutes for the pool to overflow.

In summary, we have a wading pool being filled with water at a rate of 6 gallons per minute, and we want to know when it will overflow, given its current water level of 80 gallons and a maximum capacity of 152 gallons. The equation "80 + 6t = 152" models this situation, with "t" representing the time in minutes. Solving this equation will give us the time it takes for the pool to overflow.

To know more about Equation here

https://brainly.com/question/29181550

#SPJ2


Related Questions

The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answers

Answer:

16units

Step-by-step explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units

The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)?

Answers

Answer:

the amount financed is $16,000

Step-by-step explanation:

The computation of the amount financed is shown below:

As we know that

Amount financed = cash price - down payment

= $16,500 - $500

= $16,000

Hence, the amount financed is $16,000

If we deduct the down payment from the cash price so we can get the amount financed

And, the same would be considered

Please help! no links and scams pls. Giving brainliest if correct

Answers

Answer:

A) What is the opposite of the absolute value of negative 4?

B) What is the absolute value of negative 4?

C) What is the opposite of 4?

D) What is the absolute value of 4?

Step-by-step explanation:

Question to this please not sure

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

d = 2xr

2x3 = 6

hope this helps

Can someone help me with these true or false questions thank you

Answers

Number 1 is false and number 2 and 3 is true.
Sorry if it’s wrong I’m kinda of learning this too.

I will give you BRAINLIEST for the correct answer

Answers

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

Mrs. Parson cuts 1 /3 of a piece of construction paper. She uses 1 / 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?NO LINKKKKKKKKKKKKKKKKKKKKSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs

Answers

Answer:

1/3*1/6 is ur answer.

1/18

What is the square root of -1?

Answers

Answer:

Step-by-step explanation:

The square root of a negative number is an irrational value

Answer:

✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0

✓0 is = 0

Can someone help me please with both questions?

Answers

he really put a link

Just need help solving this problem.

Answers

Hey mate! Check it out. Good luck!

Which equation can best be modeled by the expression 10(-4)

Answers

-40
Take 10 and x it by the 4 and since it’s in brackets it will take the negative sin because it means it important because normally if you were doing 10x -4 you would have 40 because 10 is bigger but the 4 was in brackets

Please solve 64^x=4096

Answers

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!

Answers

ita the first answer 65..............

What is the sum of sqrt3 - i and 2 - sqrt3i?

Answers

Answer:

THE ANSWER IS B YALL I GUESSED AND GOT IT RIGHT

Step-by-step explanation:

HAVE A NICE DAY :)

The sum of given numbers is 2+√3 +i(-1+√3)

How to add complex numbers?

A complex number is a kind of number which has two parts:

Real partImaginary part

The real part consists of real numbers whereas the imaginary part consists of numbers like i (iota=√-1)and its multiples.

When we add complex numbers, we add the real part and the imaginary part separately.

In this question:

Adding real parts: √3 +2Adding imaginary part: -i+√3i=i(√3-1)

Therefore, we get a new complex number that is √3+2+i(√3-1).

To know more about sum of complex numbers refer:https://brainly.com/question/10251853

#SPJ2

Jamie invests money. In the first year it increases to 110% of its original value.
He spends 20% of the profit on a cricket bat and 1/8 of the reminder on a cricket jumper.
He is left with £140 profit. How much did Jamie invest?

Answers

Answer:

£2000

Step-by-step explanation:

Let the money invested be x.

After 1 year, the money is now 110% of x = 1.1x

Original amount of money: x

Profit in 1 year: 0.1x

He spends 20% of the profit on a cricket bat.

0.2 * 0.1x = 0.02x spent on cricket bat

The reminder of the profit is 0.8 * 0.1x = 0.08x

He spends 1/8 * 0.08x on a cricket jumper.

Amount of profit he has:

0.1x - 0.02x - 0.125 * 0.08x

This equals £140

0.1x - 0.02x - 0.125 * 0.08x = 140

0.08x - 0.01x = 140

0.07x = 140

x = 140/0.07

x = 2000

Answer: £2000

I NEED HELP PLEASE GUYS ITS FOR NOW!!

Answers

Answer:

202m

Step-by-step explanation:

Use pythagoream theorum to find the hypotenuse. So [tex]a^{2} +b^{2} =c^{2}[/tex], where the height (40m)=a and the anchor length (198m)=b. That leaves us with  [tex]40^{2} +198^{2} =c^{2}[/tex], doing the math out for that we get 40,804=[tex]c^{2}[/tex], taking the square root of 40,804 we get our answer of 202m

A triangle has an area of 32 square centimeters and a height of 1 centimeters. What is the length of the base of the triangle?
A.64 cm
B.32 cm
C.16 cm
D.8 cm

Answers

I think the answer is B

Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter

Answers

Answer:

everything is in the picture

HELP ME PLAESE ASAPPP

Answers

area of triangle = base x height over 2
12 x 6 = 72
72 over 2 = 36
area is 36 ft^2

in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!

Answers

Answer:

[tex]\huge{\{\fbox{\tt{Questions }}\}}[/tex]

The required measures of the circle are:

mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135

m∠ABF=120

What are the sections of the circle?

A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.

Here,
A circle is shown,

mDF = 75  [shown in the image]

m∠FBE = 60 + ∠CBE

m∠FBE = 60 + ∠ABD     [∠ABD=∠CBE]

m∠FBE = 60 + 45             [∠ABD = 180 - 75-60]

m∠FBE = 105,

Similarly,

mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120

Learn more about the section of the circle here:

https://brainly.com/question/29060579

#SPJ2

Use Substitution, what is the solution to the system 5x + y = 12 and 2x + Зу = -3

A (2,-3)
B (-3,3)
C (3,-3)
D (2,2)

Answers

Answer:

C

Step-by-step explanation:

Answer would be c sorry if wrong

I need the answer please

Answers

it would first be 0.7 and then 1.1

Step-by-step explanation:

So, it is a question of Arithmetic Progression.

Answer attached...

Hope it helps :)

Do 4x and 15 + x have the same value if x is 5?

Yes
or
No

Answers

No
Explanation : because no :3

) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)

Answers

The answer is 33 percent

hope this helps!

Answer:

33%

Step-by-step explanation: 1 out of three kids in each group do not sing 100/3 = 33

If you answer I will mark you Brainliest!

Answers

Answer:

divide the figure into two parts.

area of triangle = 1/2×base×height

area of triangle = 1/2×3×3

area pf triangle = 4.5 units²

area of square = side²

area of square = 3²

area of square = 9unit²

Answer:

The figure is made up of a square and a triangle.

We will find both of their areas separately and then combining them will give us the required area.

Area of the triangle : ½ × base × height

= ½ × 3 × 3

= ½ × 9

= 4.5 units²

Area of the square : (side)²

= 3²

= 9 units²

Now, required area = (4.5 + 9) units²

= 13.5 units²

What is the main difference between a square and a rhombus?
A.
A rhombus has 4 right angles, and a square does not.
B.
A square must have 4 right angles, but a rhombus may or may not have 4 right angles.
C.
A square has sides that are parallel, but a rhombus does not.
D.
A rhombus is always bigger than a square.

Answers

Answer:

B. a square must have 4 right angles, but a rhombus may or not have 4 right angles.

Answer:

B

Step-by-step explanation:

The main difference between a square and a rhombus is a square must have 4 right angles, but a rhombus may or may not have 4 right angles. All the angles of a square have to be 90 degrees. All right angles are 90 degrees. All squares are rhombuses, but not all rhombuses are squares. There are occasions when a rhombus has 4 right angles.

yes I need help with another one ASAP

Answers

Step-by-step explanation:

(-1,-1) (0,3)

3- -1 / 0 - -1 = 4/1 = 4

slope is 4


The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)

Answers

222inches I’m not shure but use photo math for the answer

Geometry help please. Find m in the diagram please.

Answers

Answer:

m = 8

Step-by-step explanation:

[tex]\frac{m}{12}[/tex] = [tex]\frac{10}{5+10}[/tex]

15m = 120

m = 8

Use csc (90) = 10/m.

So, m = 10/csc(90).

m = 8.93997

Answer: m = 8

what's the volume of this composite figure
a. 272 cubic inches
b. 192 cubic inches
c. 180 cubic inches
d. 372 cubic inches
please help!! I'll give brainiest

Answers

Answer:

372 in³

Step-by-step explanation:

v1 = 12×4×4=192 in³

v2 = 12×3×5=180 in³

total volume =180 +192 =372 in³

Other Questions
As a young man, Derek ___the most daring and unusual artists he knew,____ of their day WHICH TYPE OF LAW IS WHEN A PLANTIFF BRINGS ACTION, AGAINST ANINDIVIDUAL OR GROUP, WHO MIGHT HAVE WRONGED THEM?CRIMINAL LAWCORPORATE LAWO COMMERCIAL LAWCIVIL LAW What is the deepest point on our planet? 2.PART B: Which detail from the text best supports the answer to Part A?A. "Nevertheless, Hamilton's passionate drive pushed him into manyconfrontations, both physical and political, as he sought a lasting legacy."(Paragraph 1)B. "His irritation at government ineffectiveness foreshadowed a struggle he wouldfight for the rest of his career." (Paragraph 7)C. "He despised the Articles of Confederation and wrote frequently about the manyproblems the document caused" (Paragraph 8)D. "As the very first person in this role, Hamilton was able to design much of thestructure and function of the Treasury." (Paragraph 11) Find an equation for the inverse for each of the following. I'll give brainiest to right answers. List three differences between word and excel Eco-friendly versions of virtually all household products and furnishings exist. Choose a room in your home and identify one piece of furniture and any other item. Then go online and find three different eco-friendly items that could replace them. Provide images of the products and write two to three sentences describing each item, explaining what makes it eco-friendly. When you have examined three eco-friendly examples for each item, write a paragraph explaining which items you would choose for your home and why the product that you chose is superior to the others available. Identify one economic benefit that colonial territories derive from imperialism? Spanish speakers needed, please don't answer if you don't know what are the variables in carrying capacity Please answer this question.See picture attached.Just question C please. Solve the linear equation. [tex] \frac{3}{4}x - 7 = 3( \frac{1}{6}x + 1)[/tex] Two trains, Train A and Train B, weigh a total of 318 tons. Train A is heavier than Train B. The difference of their weights is 178 tons. What is the weight of each train? There are some ways objects in motion are affected. _______________, or pushes and pulls, affect the motion of an object. _______________ is a force that pulls objects down to Earth. _______________ is a force that slows things down or can even make them stop. Did you know acceleration means more than the increase of an objects speed? It also describes an object that is slowing down or changing _______________. Since acceleration is a change in speed or direction, that means, _______________ is a change in velocity Joey sells mangoes. Jimmy sells oranges. For every 16 mangoes Joey sells, Jimmy sells 6 oranges. How many mangoes were sold at the end of the week if Jimmy sold 144 oranges? "You are finished running the bases, you are sweating and you feel thirsty. What body systems are interacting in this case? Support you claim with evidence and explain you reasoning." What did workers do to improve their work conditions?B. Formed trade unionsA. Created FactoriesC. Held StriesD. Survived Famines An advantage of participant over nonparticipant observation is _____________ a. the observer may lose the objectivity needed to conduct the scientific observation b. the researcher may be able to experience events in the same way as natural participants c. it is always a more ethical research approach than nonparticipant observation d. the conclusions lack objectivity Refer to the passage."Urbanisation undermines caste. The relative anonymity of an individuals identity in a city makes it difficult for rules of purity and pollution to be observed and enforced in the public sphere.Fewer activities are then mediated by an individuals caste identity. And urbanisation will continue to increase. By 2030, 40 per cent of Indians are predicted to live in urban areas.The urban middle class, once a preserve of the upper castes, has become more diverse with gradual entry of backward castes and Dalits.The marriage market reflects this change. In 1970, only 1.5 per cent of matrimonial ads published in the national dailies belonged to backward castes and Dalits. This number had increased to 10 per cent by 2010.In cities, the search for partners differs from that in villages. People in the middle class shift from family and caste networks to friends and professional networks, and rely on technology. Already 250 million Indians own smartphones.Excerpt from "Caste and Marriage in Urban Middle-Class India by Amit Ahuja, 2016How has the caste system in rural Indian areas adapted to globalization differently than the caste system in urban areas?- Rural areas have been unaffected by globalization because of their isolation.- Rural areas have changed the most socially, as globalization has led to an adoption of Western culture.- Rural areas have been slower to adapt socially to the changing global society, as technology and industrialization have had less impact.- Rural areas have seen a greater weakening of the caste system, as many people from lower castes have moved to urban areas in search of work. what is a counter claim for racism (for an essay)