One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours. How long will it take the pipe to fill the pool if the drain is left open?

Answers

Answer 1

Answer:

48 hours

Step-by-step explanation:

So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.

So let's just say that x is the value for how much the pool was filled, and y is the time taken.

So which means :

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.

So, we solve the equation.

To find X, we make the denominator of the two fractions the same.

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]

= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]

Then, we subtract.

[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]

[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour

Finally, we find the time taken for the pipe to fill the pool.

If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :

1 = [tex]\frac{1}{48}y[/tex]

y = 48 hours.

So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.

HOPE THIS ANSWER HELPED :)


Related Questions

Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)

Answers

Answer:

y = 1/2x + 1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

y-intercept (0, 1)

Point (2, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{2-0}[/tex]Subtract:                       [tex]m=\frac{1}{2}[/tex]

Step 3: Write equation

y = 1/2x + 1

Which of the following figures has rotated 90 counterclockwise about the origin?

Answers

Answer:

I believe the answer is B, although im not quite sure.

Which chemical equation is balanced?

Answers

Answer:

D as in dog

Step-by-step explanation:

Find the ratio between 450 ml and 1l.​

Answers

1 Liter = 1,000 mL

The ratio of mL to Liter is 450:1,000

Answer:

450mL : 1L   =    9 : 20

Step-by-step explanation:

recall that 1L = 1000 mL,

450 mL : 1L  can be expressed as

450mL : 1000 mL   (we can simplify this with the following steps)

450 : 1000     (divide both sides by 10)

45 : 100  (divide both sides by 5)

9 : 20  (answer)

) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.

Answers

Answer:

no entiendo nada

Step-by-step explanation:

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is 4 more than 3 times it's width;

[tex] \longrightarrow [/tex] l = 3w + 4

Perimeter of rectangle = 152

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 18

Length of rectangle (l) = 3 × 18 + 4 = 58

Kiran says that -2 < -5 . Do you agree with Kiran

Answers

Answer:

No

Step-by-step explanation:

-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.

Answer:

no

Step-by-step explanation:

I took a test and this question was on it and the answer was no.

Answer this question please.​

Answers

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

Can someone plz help
One question only
I WILL CROWN BRAINLIEST

Answers

i) Draw a point at the bottom corner. From here count 7 right and 3 up. Mark this point aswell. Join these 2 point together to create a line and put an arrow head half way through to show direction.

ii) 2+5 = 7
4-1 = 3
So the column vector would be 7 over 3 in brackets

Hope this helps

Help will mark Brainliest

Answers

Answer:

ion know if you still need the answer but i also may need more detail in order to answer your question may you explain the way it needs to be done then you will get your answer

Step-by-step explanation:

Who here is amazing at math and is willing to help me every time I need help with math?!

Answers

Answer:

Me

Step-by-step explanation:

Because I am really good at math

Use this diagram and information given to find mangleAFE.


abcdef500


Given: mangleAFB = mangleEFD = 65°


Points B, F, D and points E, F, C are collinear.


The measure of angleAFE is

°.

Answers

Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]

When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,

[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]

Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D

LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.

Answers

Answer:

25.2 feets

Step-by-step explanation:

Given that:

Rectangular shaped living room has the dimension:

21 feets by 14 feets

Length of diagonal :

Using Pythagoras :

A² = B² + C²

Diagonal² = 21² + 14²

Diagonal = √(441 + 196)

Diagonal = √637

Diagonal = 25.238

Diagonal = 25.2 feets ( nearest tenth)

List the parts that are congruent based on the markings. Be sure to label properly!

Please helppp. I’ll give brainliest!

Answers

Answer:

Angles T and W are congruent to each other. Angles U and X are congruent to each other.

Step-by-step explanation:

find angle sum therom ​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle is 180° .

Thus ;

[tex]y + 48° + 90° = 180°[/tex]

[tex]y + 138° = 180°[/tex]

Subtract sides 138°

[tex]y + 138° - 138° = 180° - 138° \\ [/tex]

[tex]y = 42°[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

12x+y when x=3 and y=52

Answers

Substitute

12(3) + (52)

12(3) = 36

36 + 52 = 88

x² – 9
x² - 2x - 15
Simplify

Answers

Answer:

x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.

x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.

I assume you mean factored form?

Which of the following BEST describes the domain of the relation graphed below.​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]

what's (+6) + (+48) ?​

Answers

Answer:

54

Step-by-step explanation:

The answer is 54.
..
.

Factor 28xy + 25 + 35x + 20y

Answers

HOPE THIS HELPS YOU...

One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.

Answers

Answer:rental cost for each movie =$3.75 and for video games = $5.5

Step-by-step explanation:

Step 1 Let the cost of movie = x

and cost of video game = y

Cost at  Ist Month for 6 movies and 5 video games for a total of $50 will  be

6x+ 5y= $50------- Equation 1

Cost at  2nd Month for 2 movies and 3 video games for a total of $24 will  be

2x+ 3y= $24--------  Equation 2

Step 2--- Solving

6x+ 5y= $50------- Equation 1

2x+ 3y= $24--------  Equation 2

Multiplying equation 2 by (3)

6x+ 5y= $50------- Equation 1

6x+ 9y= $72--------Equaton 3

subtracting  equation 1 from equation 3

9y-5y=22

4y= 22

y=22/4= 5.5

Putting the value of y = 5.5 in equation 1

6x+ 5y= $50

6x + 5(5.5)= $50

6x =50-27.5

6x=22.5

x=22.5/6

x =3.75

Therefore rental cost for each movie =$3.75 and for video games = $5.5

0.0000000043 estimated to the power of ten

Answers

Answer:

4.3 x 10^-9

Step-by-step explanation:

Convert to base 10 and move decimal 9 to right

Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS

Answers

Answer:

Step-by-step explanation:

Help with what

Answer:

what is the question???

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.

Answers

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

About how many male math teachers will there be in 2016?
A. 32
B.52


Answers

Answer:

From the answers you provided the best answer is B.52

Step-by-step explanation:

It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.

Answer:

is it 32?

Step-by-step explanation:

sorry if im wrong

hope this helps

show that the probabitity that this bead is purple or red is 3/4

Answers

Answer:

pls explain in more detail and attach pic cus ive got no clue what ur asking

Where’s The Whole Problem. ?

4/4-x = 5/4+x what is x

Answers

Answer:

-1/8

Step-by-step explanation:

MATH

1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?

Answers

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?

Answers

18 girls and 12 boys 18+12= 30
Brake it up into 15
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