2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.

Answers

Answer 1
108 divided by 2 = 54 minutes
108 divided by 5 = 21.6 minutes
Answer 2

Answer:

Drain A [tex]54\ min[/tex]

Drain B [tex]21.6\ min[/tex]

Step-by-step explanation:

Let

x------> the time in minutes

y-----> the volume of the pool in gallons

we know that

The equation that represent the situation is equal to

[tex]y=mx[/tex]

solve for x

[tex]x=y/m[/tex]

Drain A

[tex]x=y/m[/tex]

In this case we have

[tex]m=2\frac{gal}{min}[/tex]

[tex]y=108\ gal[/tex]

substitute

[tex]x=108/2=54\ min[/tex]

Drain B

[tex]x=y/m[/tex]

In this case we have

[tex]m=5\frac{gal}{min}[/tex]

[tex]y=108\ gal[/tex]

substitute

[tex]x=108/5=21.6\ min[/tex]


Related Questions

what is 1/20 written as a percent?

Answers

You can divide 1 by 20 (1÷20) and get 0.05, then convert that to a percent. A percent means the number divided by 100, so to change a number to a percent, multiply by 100 and add the % sign.
0.05 = 5%

You can also make the fraction have a denominator of 100 since percent means the number over 100.
Multiply 1/20 by 5/5.
[tex] \frac{1}{20}* \frac{5}{5}= \frac{5}{100} [/tex].
5/100 is 5%

5 percent is equivalent to 1/20.

Here we have to write 1/20 as percentage,

Since we know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Now ,

To find the percentage of 1/20 multiply it by 100

⇒(1/20)x10 = 100/20

                  =  5 %

Hence,

1/20 = 5%

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the solution to the equation x+11=18 is x = 7 : true or false?

Answers

True, because x=18-11, which equal x=7 so yeah
True, because to solve the equation x + 11 = 18 you would minus 11, and 18 - 11 = 7. Hope this helps!

Juliette and her two brothers spent $45.75 on flowers for their grandmother. Each person will chip in the same amount. How much will each person pay? Juliette's mom decided to chip in $15. Now how much will Juliette and her brothers each pay if they share the amount remaining?

Answers

Final answer:

After dividing the initial total cost of $45.75 by three, each of Juliette and her brothers would pay $15.25. After Juliette's mom contributes $15, the remaining amount of $30.75 is divided by three, resulting in each person paying $10.25.

Explanation:

The question involves dividing a total cost among several people and then re-dividing it after one more person contributes. Initially, Juliette and her two brothers spent $45.75 on flowers. To find out how much each person will initially pay, divide the total cost by the number of people. There are three people, so each person will pay $45.75 ÷ 3 = $15.25.

Next, Juliette's mom decides to chip in $15. After her contribution, the remaining amount to be shared by Juliette and her brothers is $45.75 - $15 = $30.75. Now there are still three people sharing the cost, so each person will pay $30.75 ÷ 3 = $10.25.

Therefore, after Juliette's mom contributes, Juliette and her brothers will each pay $10.25.

What is the area of an equilateral triangle that has sides of 2 yards and a height of 4.25 feet?

Answers

The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 
6*4.25=25.5 then divide by two. 25.5/2=12.75
So the area of the triangle is 12.75 ft^2
Hope this helps

Answer:

12.75 squared

Step-by-step explanation:

Remember convert the yards into feet. 2 yards= 6 feet.

6 feet x 4.25 feet= 25.5 feet

remember a=1/2 b x h

after you get 25.5 divided it by 1/2 or 2

then you get 12.75 squared

REMEMBER TO ALWAYS CONVERT!

The movie Avatar is the number one movie in U.S. history, earning $760,507,625. The second place movie is Titanic, earning $600,788,188. what percent is $600,788,188 of $760,507,625

Answers

The answer is 78.99%, So rounded up to 79%

plz thank me, it keeps me motivated to answer more of your questions :)

78.99% and you could round it up to 79%.

It would be great if you could mark me as the brainlyest answer 

let me know if you need further instructions
 

explain the different ways that you can use multiplication to estimate and solve division problems

Answers

Well one way that you can use multiplication to estimate and solve division problems is that when you are dividing a smaller number or any number into another number for example... 12/324 you can multiply what times 12 equals 324. That or use a calculator if it is aloud I may add. Sometimes it is easier to do it that way then doing out all the horrible long steps making it harder to do.

whitney has to walk 1000 feet to the bus stop each step she takes measures 2.25 feet on what number step will she reach the bus stop

Answers

1000 / 2.25 = 444.444444444
so about 445 steps
444.4 repeated, if you divide 1,000 by 2.25, you get 444.4 repeated

Distance in space can be measured in astronomcal units or AU. Jupiter is 5.2 AU from the sun. Pluto is 39.223 AU from the sun. How much closer to the Sun is Jupiter than Pluto?

Answers

Final answer:

Jupiter is 34.023 AU closer to the Sun than Pluto. This is obtained by subtracting Jupiter's distance from the Sun (5.2 AU) from Pluto's distance from the Sun (39.223 AU).

Explanation:

Distance in space can often be measured in Astronomical Units (AU), which is the average distance from Earth to the Sun. Given that Jupiter is 5.2 AU from the Sun, and Pluto is 39.223 AU from the Sun, you want to find out how much closer to the Sun Jupiter is than Pluto.

To get this, you simply subtract Jupiter's distance from Pluto's distance. That is, 39.223 AU (Pluto's distance) - 5.2 AU (Jupiter's distance).

The outcome of this calculation is 34.023 AU, which means that Jupiter is 34.023 AU closer to the Sun than Pluto.

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Final answer:

Jupiter is 34.023 AU closer to the Sun than Pluto, which is calculated by subtracting Jupiter's distance from Pluto's distance.

Explanation:

Distances in space can be measured using the astronomical unit (AU), where 1 AU is approximately 150 million kilometers, the average distance from Earth to the Sun. To find out how much closer Jupiter is to the Sun than Pluto, we subtract the distance from the Sun to Jupiter from the distance from the Sun to Pluto. Given that Jupiter is 5.2 AU from the Sun and Pluto is 39.223 AU from the Sun:

Distance difference = Pluto's distance - Jupiter's distance

= 39.223 AU - 5.2 AU

= 34.023 AU

Therefore, Jupiter is 34.023 AU closer to the Sun than Pluto.

8x - 2x= |8 - 80| just need to solve the x

Answers

As RHS inside the mod. it would be either 8-80 or 8+80
8x-2x = 8-80  OR  8x-2x = 8+80
6x = -72  OR  6x = 88
x = -12  OR  x = 14.66

Hope this helps!

find each percent increase round to the nearest percent.
From 86 books to 150 books

Answers

i believe the answer is 90

rounding
Rounding is a method used to shorten numbers. Rounding involves either increasing or decreasing a number to the next digit.

percents
Percents are parts per hundred.

percent
A percent is a ratio whose second term is hundred.

round
To estimate to a given place value.

Hope this helps you

An insect is 3 inches long what is the length to the nearest hundredth of a centimeter of the insect

Answers

I hope this helps you
Final answer:

To convert the insect's length from 3 inches to centimeters, multiply by the conversion factor of 2.54 to get 7.62 centimeters, which is the length to the nearest hundredth of a centimeter.

Explanation:

The student asked: An insect is 3 inches long what is the length to the nearest hundredth of a centimeter of the insect? To convert the insect's length from inches to centimeters, we need to use the conversion factor where 1 inch equals 2.54 centimeters.

First, we multiply the insect's length in inches by the conversion factor:

3 inches × 2.54 cm/inch = 7.62 centimeters

Therefore, the length of the insect is 7.62 centimeters when converted from inches and rounded to the nearest hundredth of a centimeter.

When measuring the length of small items like insects, it is important to choose an appropriate tool and unit for precision. In this case, a ruler that includes both inches and centimeters would be appropriate for measuring an insect of this size. The centimeter, being smaller than the inch and equivalent to 10 millimeters, offers the precision needed for such measurements.

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decimals between 4.2 and 5.4 with an interval of 0.3 between each pair of decimals

Answers

4.5 4.8 5.1 and 5.4 would be all of them

What's 180 times 5 minus 15 divided by 1327?

Answers

899 1312/1327 hope this helps
0.6450437317784257 da the answer

Four friends paid a total of $32 for movie tickets.what is the ratio $32 for 4 people written as a unit rate

Answers

$32/4 = $8 per ticket

Identify the radical expression of 5^1/3. A) (1/5)3 B) 31/5 C) 1/5 D) 5

Answers

the answer would be c 

Express the fraction in simplest form.

9/12

Answers

9 and 12 both can be divided by 3 so 9/12 in simplest form is 3/4.

Margo estimated 188/5 to be between 30 and 40. Which basic facts did she use to help her estimate? Mark all that apply

A 10/5

B 15/5

C 20/5

D 25/5

Answers

C Because its always C 


Use place value to find 12x40

Answers

Final answer:

The multiplication of 12 and 40 can be simplified using place value. Breaking down the 40 to 4 and multiplying gives 48, but remember to adjust back for place value, giving the final answer of 480.

Explanation:

To solve the equation 12x40 using place value, you need to understand that '40' is essentially '4' in the tens place which is equivalent to '4x10'. Multiplying 12 by '4' gives us '48'. Now, remembering that 4 was actually in the tens place, we apply the place value and turn it back into '480'.

This method is nothing more than a simplification of the normal multiplication process: you’re just breaking down the 40 into a easier to handle number (4), doing the multiplication, then adjusting for the fact that the 4 was actually in the tens place, not the ones. So, 12x40 equals 480.

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The ratio of total students in Ms. Murray's class to students in the class who have an older brother is 3 to 1. The answer is 1:2. What is the question?

Answers

The question is "What is the ratio of students in the class who dont have an older brother to students in the class with an older brother?"
people who have older brothers and people who doesn't 

Maria has 1.35.she has only quarters and nickels.draw two possible group if coins Maria could have.use 25s ti show quarters and 5s to show nickels

Answers

she could use 5 quarters and use 2 nickels

PLEASE HELP ME AND I WILL GIVE EXTRA POINTS

Which of the following best describes the solution to the equation below?
26+4x=9x

A. exactly one real solution, x=2 8/9

B. exactly one real solution, x= 5 1/5
C. infinite real solutions
D. no real soluti

Answers

Answer:

THE CORRECT AWNSER IS D

Step-by-step explanation:

Mr. Simpson tutored for students on Monday nine students on Tuesday 16 students on Wednesday and 21 students on Thursday if you continue the pattern how many students will be on friday

Answers

25 pattern is, 7, 5, and then 3. -2 every time
Final answer:

Without a clear, consistent pattern in the number of students tutored from Monday to Thursday, it's challenging to accurately predict the number of students for Friday. The pattern initially provided does not follow a simple arithmetic or geometric sequence.

Explanation:

The question asks for the number of students Mr. Simpson will tutor on Friday, given a pattern of students tutored from Monday to Thursday. The pattern is as follows: 4 students on Monday, 9 on Tuesday, 16 on Wednesday, and 21 on Thursday. Looking at the increase in the number of students each day, we see it goes from 4 to 9 (+5), then 9 to 16 (+7), and 16 to 21 (+5). Noticing a pattern or sequence in these increases can be tricky because it seems to alternate in a way that does not hint at a simple arithmetic or geometric progression.

Given this, the exercise might involve a typo or a misunderstanding. Usually, patterns in mathematics follow a clear rule, whether they are linear (constant increase), geometric (constant multiplication), or another form. If a student or teacher encounters such a problem, it is important to go back and check the original problem for any additional information or to clarify the intended pattern.

if 5.25 MB have been downloaded and 2.25 MB are left. what percent of the application has already been downloaded?

Answers

5.25 + 2.25 = 7.50 MB

x/100 x (7.50) = 5.25
7.50x/100 = 5.25
7.50x = 5.25(100)
7.50x = 525
x = 525/7.50
x = 70
Hence, 70% of the application has already been downloaded. 


The percent of the application has already been downloaded will be [tex]70\%.[/tex]

What is percentage?

Percentage is  a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

We have,

Downloaded application [tex]=5.25[/tex] MB

And,

Left to Download [tex]=2.25[/tex] MB

So,

Total size of application to be download [tex]=5.25+2.25=7.50[/tex] MB

Now,

Percent of the application downloaded [tex]=\frac{Downloaded}{Total} *100[/tex]

                                                                  [tex]=\frac{5.25}{7.50} *100[/tex]

Percent of the application downloaded [tex]=70\%[/tex]

Hence we can say that the percent of the application has already been downloaded will be [tex]70\%.[/tex]

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x ÷ -18 - 2 = 1 plz help I'm horrible at math

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = -54

*PLEASE HELP*
Who ever answers gets Brainliest!!! Please show work and it's due TOMORROW!!!!!

Answers

6. is 10 bc 25% (.25) times 40 is 10
7. is .86 bc 43/50 is .86

Using a different porpotions of: Save Percentage= Saves/shots on goal. Another goalie has a save percentage of 0.907 with 204 saves in his first 6 games. Your friend says that you could find their combined save percentagr by adding 0.914 and 0.907 and then dividing by 2. Explain why this is incorrect. Then show how you would caculate their combined save percentage. Round your answer to the nearest thousandth.


(This goes with another problem: A goalie has a save percentage of 0.907 after playing his first 6 games. He has made 191 saves. How many shots on goal has he faced?


- I got the answer of 174.57.

Would that be correct? ^^^

Answers

yo i am pretty sure that is the correct answer
Final answer:

To find the combined save percentage, you need to calculate the total number of saves and shots on goal for both goalies, and then divide the total saves by the total shots on goal. The combined save percentage is approximately 0.909.

Explanation:

Your friend's approach of adding the two save percentages and dividing by 2 to find the combined save percentage is incorrect. This is because save percentage is not a simple average of multiple percentages. To find the combined save percentage, you need to calculate the total number of saves and shots on goal for both goalies, and then divide the total saves by the total shots on goal.

Goalie 1 has a save percentage of 0.914 with 204 saves. This means that Goalie 1 has faced a certain number of shots on goal which can be calculated by dividing the total saves (204) by the save percentage (0.914). This gives us approximately 223 shots on goal.Goalie 2 has a save percentage of 0.907 with 191 saves. Similarly, we can calculate the approximate number of shots on goal faced by dividing the total saves (191) by the save percentage (0.907). This gives us approximately 211 shots on goal.To find the combined save percentage, you need to add the total number of saves (204 + 191 = 395) and the total number of shots on goal (223 + 211 = 434), and then divide the total saves by the total shots on goal. The combined save percentage is approximately 0.909.

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A rectangular playground has an area of 3,392 square meters.If the width of the rectangle is 32 meters,find the length.

Answers

The answer is 106 meters. You need to do 3,392 meters divided by 32 meters.

(Length * Width = Area)
(Length = Area / Width)

The length of a playground = 106 meters

Further explanation

The playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:

1. each angle is equal and is a right angle 2. the diagonals intersect and divide each other equally 3. sides facing the same length

There are two rectangular shapes namely square and rectangle

Square if all sides are the same length

The formula used in rectangular is:

1.Area

Rectangle

[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]

w = width

l = length

Square

[tex]\large{\boxed{\bold{area=a^2}}}[/tex]

a = length of side

2. perimeter

Rectangle

[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]

w = width

l = length

Square

[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]

a = length of side

A rectangular playground has an area of 3,392 square meters

[tex]A=3,392\:m^2[/tex]

[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]

[tex]3,392\:m^2=32\:meters\times\:l[/tex]

[tex]\displaystyle l=\frac{3,392}{32}[/tex]

[tex]\boxed{\bold{l=106\:meters}}[/tex]

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The ratio of the perimeters

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if the mass of a solid is 25 g and it's volume is 50 cm3 what is it's density?

Answers

The answer would be u would have to multiply the mass which is solid and the volume so to find the density multiply

50 times 25 and I would get 1,250

The density of the solid will be equal to 0.2 grams per centimetre cube.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the mass of a solid is 25 g and its volume is 50 cm3. The density of the solid will be calculated as,

Density = Mass / Volume

Density = 25 / 50

Density= 0.2 g/cubic cm

Therefore, the density of the solid will be equal to 0.2 grams per centimetre cube.

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Thirty times a number plus twenty two


N= A Number

writting algebric expression

Answers

30n+22
You multiply 30 and n, then add 22.

Thirty times a number is a number multiplied 30 times. This would be shown as 30 multiplied by n, or 30n. Now add 22 to this expression.

30n+22

What is the remainder when 16,055 is divided by 16? (Input numeric values only)

Answers

Final answer:

The remainder when 16,055 is divided by 16 is 7.

Explanation:

To find the remainder when 16,055 is divided by 16, we divide 16,055 by 16 and find the remainder. 16 goes into 16,055 1,003 times with a remainder of 7. Therefore, the remainder when 16,055 is divided by 16 is 7.

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