A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is

opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank

will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the

tank be full?

Answers

Answer 1

Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

(0.075V ) / hour • t = V

Solve for t :

t = V / ((0.075V ) / hour)

t = 1/0.075 hour

t ≈ 13.333 hours


Related Questions

What is an algebraic expression for this word phrase?

5 more than the product of 7 and n


5 + 7n

5(7+n)

7(5+n)

5 + 7 + n

Answers

The first choice, 5+7n.

Easy math problem.....

Answers

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

Kind requests:

Please give me brainliest. Glad to help :)

If you are currently viewing this answer, please give me 5 stars and a thanks. Also, if you send me a friend request, I will gladly accept it :D

Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

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

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.

Answers

Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Hello wonderful people! I am having trouble with the one question and I was wondering if someone could help me? I promise brainiest for the correct answer. Thanks so much for your time!

Answers

(9,2)hours I think this is the answer

What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830

Answers

Answer: 7.083

Step-by-step explanation:

Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.

please help on number 8!! it would be much appreciated

Answers

Answer:

a.) 135 degrees

b.) 45 degrees

c.) 45 degrees

Step-by-step explanation:

Use this link to see a visual representation on how to solve for these types of angles, it lets you click on any type of angle and see how it corresponds to other angles within the parallel line and traversal, give it a try!

https://www.mathsisfun.com/geometry/alternate-exterior-angles.html

Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.

Answers

Answer:

91.44 cm

Step-by-step explanation:

2.54 x 12 = 30.48 cm per foot

30.48 x 3 = 91.44cm

It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of water

Answers

Answer:

14.9 min

Step-by-step explanation:

r=rate

r25=5*7

r25=35

r=35/25

r=1.4

substitution

r160=t*15

t=time

r=1.4

1.4*160=t*15

224=t*15/15

224/15=t

14.9 min

Fill in the missing numbers to complete the division problem.​Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:

Answers

Answer:

6

Step-by-step explanation:

why because when you work this out 6,957÷7 your answer will be 993.8571...

so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957

What is the circumference of this circle?



A.
4
1


B.
20
1


C.
2
1


D.
None of the above
E.

Answers

Answer:

It is 2 π r

Step-by-step explanation:

Hope this helps you!!!1

6 times 10 to the 8th power divided by 2 times 10 to the negative 4th power

Answers

Answer:

30

Step-by-step explanation:

I think but if is wrong i'm sory

Here’s another one.. so sorry if this confused you..

(Also I got this question wrong..)

Answers

Answer:

hmmm did you try 14?

It’s prob 13,


I dunno.. I keep thinking since it has the eighth meaning 8. Do 20-8=13

Which of the following equation represents the graph?

Answers

Answer:

y= -3/5x -3

Step-by-step explanation:

Hello 100 point Question with Explaining please

Answers

Answer: C

Explanation: When you graph each of them, answer c is the only one that has that slope and point.

Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?

Answers

Answer:

$81.00

Step-by-step explanation:

First find the square feet:

9*3= 27

Then find total cost:

27*3= 81

Hope this helps! :)

What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?

Answers

Step-by-step explanation:

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

=> 3x + 4y = 12

Pencils cost 9p each.

How much do 28 pencils cost?

Answers

Answer:

252p or £2.52

Step-by-step explanation:

If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.

Hope this helps!

Answer:

252p

Step-by-step explanation:

i’m just stuck on #6, is it d or c???

Answers

It’s D because the angles are found in the same relative position on different intersections

the pool at the apartment is 30 feet long 20 feet wide and five feet deep it has been filled to 4 feet how many more cubic inches does it need

Answers

Answer:

600 cubic feet

Step-by-step explanation:

Acellus
D
320
A
410
С.
B
mZB = [?]
Enter the number that belongs in
the green box

Answers

Answer:

∠ B= 107°

Step-by-step explanation:

The sum of the 3 angles in  Δ ACD = 180° , then

∠ D = 180° - (32 + 41)° = 180° - 73° = 107°

The opposite angles D and B are congruent in a kite , so

∠ B = ∠ D = 107°

586.875 to 2 decimal places​

Answers

Could you explain the question more in the comment so I can help?

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

The answer is B) 2/3x=5 and E) 6x-3+8=11.

Step-by-step explanation:

Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:

Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.

What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.

What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.

What about D?  Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.

Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.

*Had to replace so I could submit the answer

After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.

Answers

Answer:

Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.

Step-by-step explanation:

Hope this helps!

Answer:

B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.

Step-by-step explanation:

HOPE IT HEPL!! :D

Help, show work aswell please​

Answers

Answer:

Hey I got you!!

Step-by-step explanation:

Main points made:

* 3/4 teaspoon for every 2 cups of milk

* Sally wants to know how many teaspoons are required for 3 cups of milk

In this situation I divided 3/4 by 2, which got me 0.375. Then I converted 3/4 to a decimal, which is 0.75. Next, I added 0.375 and 0.75 which equals 1.125. From there I converted 1.125 to a fraction.

My final answer was 9/8 or 1 1/8. Hope this helps! :)

(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)

Answers

Answer:

The answer is 1…

Step-by-step explanation:

Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.

the final result will be

(240+15+40)+ (300+90-72)- (360+105+24)

Now solve

240-15+40=265

300+90-72=318

360+105+24=513

265+268-489

265+268= 11

533-513=20

bleh i m not sure naymore

Consider the two linear expressions.

−(−12−6x−3) and 3.5−6x

Are the two linear expressions equivalent?

Drag a word or phrase to the box to correctly complete the statement.

Answers

Answer:

Your answer is not equivalent :D

Answer: Not Equivelant

Step-by-step explanation: K12 test

find the midpoimt of the line segment between the points (4,-7) and (12, -1)

a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)​

Answers

Answer: a. (8, -4)

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

-
3
How many
foot pieces of
8
wood can you cut from a
board that is 1 7/8 feet long?

Answers

Step-by-step explanation:

17×8=136

136×8=1088

sorry if it's wrong I actually have a flu and my brain ain't working sorry but please mark me the brainiest

Answer:

1 full piece

Step-by-step explanation:

there are 12 inches in a foot so there are 12/1 x 15/8 inches in 1 7/8 feet, which is:

22 1/2 inches

22.5 ÷ 12 = 1.875 pieces or 1 full piece

Round each number to the nearest ten 24. 311. 107

Answers

Answer:

24-20   311-310     107-110

Step-by-step explanation:

Answer:

nearest tenth

......

24= 20

311=310

107=110..........

a cheetah ran 300ft in 2.92 sec what was the average speed in mph

Answers

Answer:

70.05 mph

Step-by-step explanation:

A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour

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

(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)

= {300*1*3600 miles)/(2.92*5280*1 hour)

 

= 91080000 miles/15417.6 hours

= 70.05 mph

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