One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?

Answers

Answer 1

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer 2

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

-------------------------

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours


Related Questions

The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

W = 11/2, L = 14 sq ft

Step-by-step explanation:

Area = 77ft

L = length, W = width

L = 3 + 2W

L * W = 77

Plug W in to find the L

Find the surface area of the following figures.

with solution please. T-T​​

Answers

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Find the measure of the exterior angle.

Answers

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

given: <1 congruent to <2
prove: AB is congruent to CB​

Answers

Answer:

Because 3 and 2 are vertical angles

Step-by-step explanation:

Vertical angles are always equal or congruent

Wavelength and Frequency

A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:

C - 262 Hz
E - 330 Hz
G - 392 Hz

Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )

a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8

Please select the best answer from choices provided

Answers

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

What is meant by frequency ?

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

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There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?

Answers

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

if jason had2/7 cakes and 5/9 how much wood that be

Answers

I hope this helps you out

The diameter is 24 cm. Find the
length of arc CD

Answers

Answer:

s = 4π    Exact answer

s = 12.56   Decimal approximation

Step-by-step explanation:

cicrumference  = πd

s = (∅/360)(πd)

s = (60/360)(π * 24)

s = 4π    Exact answer

s = 4 * 3.14

s = 12.56   Decimal approximation

Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0

Answers

The screenshot is the correct answers

The table modeling the inverse of function f is,

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                   -1

-2                     0

 -1                     1

  0                    2

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?

"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"

For given question,

We have been given a table modeling function f.

 x             f(x)

-2            -28

-1              -9

 0              -2  

 1               -1

 2              0

We need to complete the table modeling the inverse of function f.

We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]

For given function f(x), we find inverse of f(x)

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                    -1

-2                    0

 -1                     1

  0                   2

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out of 20 consecuative whole number two are chsen at random.then the probability that ther?​

Answers

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2

Answers

x=2=|17/2

| means square root btw

and i put / to make it a fraction

The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7

If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater

Answers

Answer: C: on the science test because the y-intercept is greater

Step-by-step explanation: I got the question right on edge.

Answer:

C

Step-by-step explanation:

How to solve this problem. Please! Urgent
log 3+ loga(a^3)

Answers

log 3 + 3log a ( a ) =

log 3 + 3 × 1 =

log 3 + 3 =

0.4771 + 3 =

3.4771

The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.

Answers

Answer:

The area is 104

Step-by-step explanation:

Length: 5 + x

width: x

(5+x)*2=10+2x

x*2=2x

2x+10+2x=42

10+4x=42

-10 -10

4x=32

/4. /4

x=32

5+8=13

13*8=104

How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?

Answers

Answer: 51

Step-by-step explanation:

2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.

4 pentagons have 20 sides because a pentagon has 5 sides. So,        4x5=20.

5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.

In all, 16+20+15= 51

A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts

Answers

Answer:

3 shifts a day

Step-by-step explanation:

7 1/2 hours = 7.5 2 1/2 hours = 2.5

7.5 divided by 2.5 = 3

Answer:

3 shift

Step-by-step explanation:

7 1/2 / 2 1/2

(15/2) / (5/2)

keep, change, flip

(15/2) x (2/5)

30/10 = 3 shifts

Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?

Answers

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

What is A line that a graph approaches as x or y increases, but never crosses?

Answers

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

Plz help 27 pt this is getting graded plz plz Plz

Answers

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2



Which of these lines is perpendicular to the line 5y = -6x + 2?

Answers

Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

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the product of nine, y and x not simplified.​

Answers

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.

What is the population under study?

A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers​

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Part 3a. NO LINKS. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

-Continued answer to my last question

Answers

Answer:

It's the first graph.

Step-by-step explanation:

The data points resemble the data in the table more than the second.

HELP!!! Find the angle measure.

Answers

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram

Answers

this is the answer on edmentum

The matching will be given below.

12/25 = sin D × cos D3/5    = sin D16/15 = cos C × tan D4/5    = sin C

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The value of sin C will be

sin C = 3 / 5

The value of sin D will be

sin D = 4 / 5

The value of cos C will be

cos C = 4 / 5

The value of cos D will be

cos D = 3 / 5

The value of tan C will be

tan C = 3 / 4

The value of tan D will be

tan D = 4 / 3

The product of sin D and cos D will be

sin D × cos D = (4 / 5) × (3 / 5)

sin D × cos D = 12 / 25

The product of tan C and tan D will be

tan C × tan D = (3 / 4) × (4 / 3)

tan C × tan D = 1

The product of cos C and tan D will be

cos C × tan D = (4 / 5) × (4 / 3)

cos C × tan D = 16 / 15

Then the matching will be given below.

12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin C

More about the right-angle triangle link is given below.

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What is remainder one as a fraction?

Answers

Answer:

We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .

Step-by-step explanation:

Answer:

We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .

Step-by-step explanation:

2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture

Answers

Answer:

2 7/24

Step-by-step explanation:

1 5/8 + 2/3

1 15/24 + 16/24

1 31/24 = 2 7/24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.

Answers

Answer:

Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.

Answer:

here now you can give her brainliest

Step-by-step explanation:

find the slope of the line through each pair of points (19,-2) (-11,10)

Answers

Answer:

[tex]\huge\boxed{-\frac{2}{5}}[/tex]

Step-by-step explanation:

The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:

[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex]

Where [tex]\Delta[/tex] represents “change in.”

The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.

We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.

The change in y will be 12. This is because from -2 to 10 is 10 units - [tex]10 - (-2) = 12[/tex] The change in x will be -30. This is because from 19 to -11 is -30 units - [tex]-19 -11 = -30[/tex]

Now that we have our change in x and y, we can substitute these values into the slope formula.

[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex] [tex]\displaystyle \frac{12}{-30}[/tex] [tex]\displaystyle -\frac{12}{30}[/tex] Simplify - divide numerator and denominator by 6 [tex]\displaystyle -\frac{2}{5}[/tex]

Therefore, the slope of this line is [tex]-\frac{2}{5}[/tex].

Hope this helped!

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