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

How do you know if the exponent is negative in scientific notation

Answers

Answer:

if the original number is a decimal the exponent is negative for example .005 would be 5x10^-3

Step-by-step explanation:

the exponent is only positive for whole numbers like 50 500 5000 hope it helps

Answer:

if the decimal point moves to the right

Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?

Answers

Answer: Brody's test score is 11/20 and 20 - x/20

Step-by-step explanation:

If Brody gets x questions wrong, this could only possible answer is 20 - x.

Using this formula, we could now answer the first question.

20 - x

20 - 9 = 11

We could then conclude that Brody got 11 correct answers out of 20 answers.

1.
(-102? + 7k+6X4)+(-14 – 464 – 14K)
-
What is the resulting expression?
O2k4-10K2-7k-14
O-1062-7k+244-14
0 -17k2+10k4-14k-14
O 6k4-14k2 +7k-14

Answers

Answer:

-7k

Step-by-step explanation:

(−102+7k+6×4)+(−14−464−14k)

Multiply 6 and 4 to get 24.

−102+7k+24−14−464−14k

Add −102 and 24 to get −78.

−78+7k−14−464−14k

Subtract 14 from −78 to get −92.

−92+7k−464−14k

Subtract 464 from −92 to get −556.

−556+7k−14k

Combine 7k and −14k to get −7k.

−556−7k

How would I solve this? I believe it's two step, am I correct?

Answers

Answer:

[tex]b=0.8[/tex]

Step-by-step explanation:

1) Subtract 2.7 from both sides.

[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]

2) Simplify -5.3 - 2.7 to 8.

[tex]-8=-\frac{b}{0.1}[/tex]

3) Multiply both sides by 0.1.

[tex]-8[/tex] × [tex]0.1=-b[/tex]

4) Simplify - 8 × 0.1 to - 0.8.

[tex]-0.8=-b[/tex]

5) Multiply both sides by -1.

[tex]0.8=b[/tex]

6) Switch sides.

[tex]b=0.8[/tex]

Answer:

b=0.8

Step-by-step explanation:

[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]

12x^2 + ax -20
if 3x + 4 is a factor of the expression above, what is the value of a?

Answers

Answer:

1

Step-by-step explanation:

(3x + 4)(px + q) = 12x^2 + ax - 20

3px^2 + 3qx + 4px + 4q = 12x^2 + ax - 20

3px^2 = 12x^2

p = 4

4q = -20

q = -5

px + q = 4x - 5

(3x + 4)(4x - 5) =

= 12x^2 - 15x + 16x - 20

= 12x^2 + x - 20

= 12x^2 + ax - 20

ax = x

a = 1

There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?

Answers

Answer:

Each women purchased 32 towels.

Step-by-step explanation:

Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.

I WILL REPORT LINKS!!!
Please show the steps.
[tex]\left(x^{\frac{1}{6}}y^{\frac{1\:}{3\:}}\right)^{-18}[/tex]

Answers

Answer:

what?

Step-by-step explanation:

Solve.

4.704=y+310

Enter your answer as a decimal in the box

Answers

Answer:

-305.296

Step-by-step explanation:

Make y the subject of the equation.

If 4.704=y+310 is the given equation, the value y is -305.3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 4.704=y+310

Four point seven zero four equal to y plus three hundred ten

We need to solve for y in the given equation.

4.704=y+310

Subtract 310 on both sides

4.704-310=y+310-310

-305.3=y

Hence, y is -305.3 for the equation 4.704=y+310

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

please help out, using your knowledge of equilateral and isosceles triangles, find the value of x

Answers

Answer:

can not see the picture

Step-by-step explanation:

29 yards=how many ft

Answers

Answer:

87 ft

Step-by-step explanation:

hope it's correct

please give me a brainlist

thank you

please help due asap

Answers

Answer:

I think it's angle 10

Step-by-step explanation:

I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.

I hope this helps

For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?

Answers

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

helpppppppppppppppppppp

Answers

Answer:

[tex] \frac{x + 2}{x - 2} [/tex]

Step-by-step explanation:

This is much easier to solve actually since both expressions have the same denominator.

To solve it therefore,just sum the numerators

(x²-4x-2)+(8x+6)

x²+4x+4 Now divide by the common denominator

x²+4x+4/x²-4

Factorize both numerator and denominator

(x+2)(x+2)/(x-2)(x+2)

Cancel out common terms

x+2/x-2

When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False

Answers

Answer:

false

Step-by-step explanation:

PLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)

PLS SHOW WORK !!

Answers

Answer:

b(x)=2x+4

Factor out 2.

2(x+2)

EVALUATE

2(x+2)

Step-by-step explanation:

.....HELPPP QUICK MATH TEST

Answers

Answer:

112

Step-by-step explanation:

Work out the value of 3^2+2^3

Answers

Answer:

Step-by-step explanation:

3^2=9

2^3=8

9+8=17

Answer:

17

Step-by-step explanation:

3²+2³

= (3×3)+(2×2×2)

= 9+8

= 17

Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.

Answers

Answer:

30.959144 inches^3

Step-by-step explanation:

Voume of cube =l^3

Here, l=3.14, so

V=3.14^3

30.959144 ^3

Answer:

V= a^3 or for one edge it’s really

V ~ 30.96

Step-by-step explanation:

Solve f(x) >0
F(x)= (x-1)(x+3)^2

Answers

AnSolve f(x) >0

F(x)= (x-1)(x+3)^2

Solve f(x) >0

F(x)= (x-1)(x+3)^2

Solve f(x) >0

F(x)= (x-1)(x+3)^2

Step-by-step explanation:

Can some one help me please I will give you 25 if you just tell me what the answer is

Answers

Answer:

I believe it helps the reader understand the mood of Frederick town. I hope this helps you! :)

An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot.

Answers

depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot

help me please this work is graded​

Answers

Answer:

you need to do it in pairs go ask one of your classmates. where is your partner for this assignment

I need the answer quick pls. what is the Measure of the base of the area of the triangle is 25ft

Answers

Answer:

b = 12.5 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 25 and h = 4 , then

[tex]\frac{1}{2}[/tex] × 4 × b = 25 , that is

2b = 25 ( divide both sides by 2 )

b = 12.5 ft

a = 1/3 (b+c)
make b the subject ​

Answers

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

multiplying both sides by 3.

3a= b+c

subtract c from both sides.

3a-c=b

or

b= 3a-c

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

Multiplying both sides by 3.

3a= b+c

Subtract c from both sides.

3a-c=b

or

b= 3a-c

For brainily please help

Answers

Answer:

Yes, these create an isosceles triangle, where two sides are equivalent

estaba previsto destinar 3/14 de partes de una finca a plazas de aparcamiento pero finalmente han destinado 3/4 de lo previsto a zonas ajardinadas que fraccion de la finca se ha destinado a plazas de aparcamiento

Answers

Queremos ver que fracción de la finca se ha destinado a plazas de aparcamiento.

La solución es:

La fracción de la finca que se destina a plaas de aparcamiento es 3/56

Sabemos que originalmente se iba a destinar 3/14 del total de la finca a plazas de aparcamiento, pero finalmente se destino 3/4 de lo previsto a zonas ajardinadas.

Es decir, se destino 3/4 de los 3/14 del total de la finca a zonas ajardinadas, entonces el 1/4 restante se dedico a plazas de aparcamiento, esto da:

(1/4)*3/14  = 3/56

La fracción de la finca que se destina a plaas de aparcamiento es 3/56

Sí quieres aprender más, puedes leer:

https://brainly.com/question/16649102

A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.

Answers

The only given option that correctly defines a line segment is;

Option C; All points between and including two given points.

      In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.

Now, let us look at the options;

Option A; This is not correct because a line segment must have 2 distinct endpoints

Option B; This is not correct because a line segment is a part of a line and not a set of points.

Option C; This is correct because it tallies with our definition of line segment.

Option D; This is not correct because a line segment does not extend infinitely.

Read more at; https://brainly.com/question/18089782

helppppppppppppppppppppppppppppppppp

Answers

Answer:

You want to find how much it cost for 1kg of potatoes, which in this case is .45 cents. After that you want to multiply the price of 1kg by 50, to get your cost for 50 kg of potatoes, which would be $22.50 I hope this helps! :)

Answer:

$22.50

Step-by-step explanation:

If one. again is 10k and it costs 4.50, then you would do 4.50 multiplied by 5 because each 10k is 4.50 and thier is 50 in total so 5 bags of 4.50 meaning 4.5x5 which would get you $22.50

i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?​

Answers

Answer:

14

Step-by-step explanation:

16-12                      

even: 12 14 16

You are 14!

8+8=16 and we are given that you are less than 16.

6+6=12 and we are given that you are more than 12.

So the number can be 13, 14, 15.

We are also given that the number is even.

And the only even number here is 14. And 14 has 2 digits.

Hope this helps!

~Just a joyful teen

[tex]-GraceRosalia[/tex]

Xavier, Yosef & Zeke are three brothers. All together they can do 56 push-ups in 3 minutes. Xavier does as many as Yosef and Zeke combined. Zeke does two less than half as many as Yosef does. How many push-ups does Yosef do?

A. 12
B. 28
C. 8
D. 6
E. 20​

Answers

Yosef did 20 push-ups

Xavier(x), Yosef(y), Zeke(z).
x+y+z=56
y+z=x
(y/2)-2=z
we plug in for z to solve for y

y+(y/2)-2=x
Combine like terms
1.5y-2=x
Plug in for x and z in terms of y in the original problem

1.5y-2+y+.5y-2=56
Add like terms
3y-4=56
Add 4 from both sides
3y=60
Divide both sides by 3
y=20


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