A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If all 3 pumps work simultaneously, how long will it take to fill the tank? (Answer in hours)

Answers

Answer 1

let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.

next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.


Related Questions

Which transformations can be used to carry ABCD onto itself? The point of
rotation is (3,2). Check all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?

Answers

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

for each graph state whether it’s a function

Answers

Answer:

Graph  1, 4, 6 are functions.

Graph  2, 3, 5 are not functions.

Step-by-step explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph  1, 4, 6 pass the vertical line test, so they represent functions.

Graph  2, 3, 5 does not pass the vertical line test, so they are not functions.

Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

Answer:

Step-by-step explanation:

Where is f(x)?  My answers pertains only to g(x) = -x^2 + 2x + 4.

Part of B is true:  As x approaches infinity in either direction, g(x) approaches negative infinity.  The graph of g(x) is an inverted parabola.

-4 + 3a2 from 7a - a2

Answers

7a -a2

+3a2 -4

(7a +2a2 -4)

Answer:

-4a^2+7a+4

Step-by-step explanation:

7a-a^2 --4+-3a^2

:-4a^2+7a+4

The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.

A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²

Answers

Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².

Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250

Answers

Answer:

Thus, 28/5 is equivalent of 5.6

Step-by-step explanation:

Given

Number is 5.6

it is in decimal form.

The first number after decimal represent the tenth of number

The Second number after decimal represent the hundredth of number

and similarly we can define thousandth of a number.

Step to write decimal number in fractional form is (say a.bcd

write the full number without decimal

so number will be

abcd

divide the number by 1

abcd/1

now count the number of digit after decimal  and put as many 0's after 1

there are three digits after decimal, we will put three digit after 1 in denominator

thus number in fraction is

abcd/1000

_________________________________________________

Given number is 5.6

hence writing it in fractional form as explained above

5.6 = 56/10

56 = 28*2

10 = 2*5

5.6 = 56/10  = 2*28/2*5 = 28/5

Thus, 28/5 is equivalent of 5.6

A garden hose supplies 36 gallons of water in 3 minutes.Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes

Answers

Answer:

Garden hose water flow in gallons per minute(x:y) = 12:1

Minutes per gallon water flow(y:x) = 1:12

Step-by-step explanation:

Complete question below

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.

Let

the garden hose water flow=x

Time of glow=y

x:y=36 gallons : 3 minutes

x/y=36/3

x/y=12/1

x:y=12:1

Therefore, garden hose water flow in gallons per minute is given by

x:y = 12:1

Minutes per gallon water flow

y:x=3:36

y/x=3/36

y/x = 1/12

y:x = 1:12

Therefore, minutes per gallon water flow is given by

y:x = 1:12

Table of equivalent ratio for x:y

36:3

24:2

12:1

Table of equivalent ratio for y:x

3:36

2:24

1:12

Select the correct answer.
Which pair of functions is not a pair of inverse functions?

Answers

Answer:

the answer is a

Step-by-step explanation:

Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°

Answers

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27

Answers

Answer:

B: 6x+27

Step-by-step explanation:

14+2(3x+9)-5

14+6x+18-5

14+6x+13

6x+27 is the final answer

The Answer is: B

Step-by-step explanation:

Need Help Please I'm Out Of Time ;(

Identify three temperatures that are colder than -5°C. Then, using complete sentences, explain how you know that they are colder.

Answers

Answer:

-7 , -9 and -10

Step-by-step explanation:

The main temperature is -5°C.

-5 is a negative number so a colder temperature will be a number that is less than -5

substracting this number from -5 will give us a positive number

-5-(-7)= 2-5-(-9)= 4 -5-(-10) = 5
-7, -9, and -10 are all colder than -5 degrees celsius

I’ve done a I just need help with b and c

Answers

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.

Answers

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

Please answer asap + brainly

Answers

Answer:

last one is the right answer

Answer:

d.5-eighths of a # plus negative 2 and 5-tenths.

Step-by-step explanation:

Hope i helped you.

The following quadrilateral is a parallelogram.
Z
W
100°
?
X
Y
Angle Y measures _ degrees.​

Answers

Answer:

100

Step-by-step explanation:

by definition, opposite angles of parallelograms are equal.

A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?

Answers

Answer:486

Step-by-step explanation:

(Multiply by 3 each time ;))

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

multipl each 3 times

Step-by-step explanation:

pllllllllzzzzzzz answer this!!!♥️♥️

Answers

9514 1404 393

Answer:

  a) 7:24 pm

  b) later than 7:24 pm

Step-by-step explanation:

The relationship between time, speed, and distance can be written as ...

  time = distance/speed

So, Faris's travel time to London is predicted to be ...

  time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours

__

a) Faris's expected arrival time at a speed of 50 mph is ...

  3:30 pm +3:54 = 6:84 pm = 7:24 pm

__

b) Time is inversely proportional to speed, so a lower speed will result in a longer time.

Faris's arrival time will be later than 7:24 pm.

help but do inorder of operations form

Answers

Answer:

29/30

Step-by-step explanation:

Make all denominators equal to 30.

4/5 × 6/6  +  1/2 × 15/15  -  1/3 × 10/10

24/30 + 15/30 - 10/30

Combine.

(24 + 15 - 10)/30

(24 + 5)/30

= 29/30

[tex]\frac{4x6}{5x6}[/tex]Answer:

Step-by-step explanation:

4/5+1/2-1/3

TAKE LCM of denominator

Lcm=5x2x3(as all are prime factors)=30

4x6/5x6

similarly, 1x15/2x15

1x10/3x10

you will get,

[tex]\frac{24+15-10}{30}[/tex]

you will get,

29/30

(/=division sign)....hope i cleared your doubts....pls mark brainliest

9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:

Answers

18x+25

she earned $18 an hour and worked for x hours so to find the total, you multiply the two. (18x) but she earned some extra cash which is $25 so you need to add that to.

The total amount Annie earned last week 18x+25.

What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.

Annie  earns $18 per hour. and she worked x hours .

So, total work = 18 * x = 18x

but she earned some extra cash = 25$

now Annie's total amount with extra cash = 18x + 25

Therefore, The total amount Annie earned last week 18x+25.

Learn more about work brainly.com/question/8958704

#SPJ2

A right cone has a radius of 13 cm and an altitude of 52 cm. Find its volume. Question 20 options: A) 9,486.0 cm3 B) 27,608.3 cm3 C) 28,458.0 cm3 D) 9,202.8 cm3

Answers

Answer:

D) 9,202.8

Step-by-step explanation:

The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer

Answer: A

Step-by-step explanation:

f(x) = x2. What is g(x)?

Answers

Answer:

g (x-2) = x

Step-by-step explanation:

Set up the composite result function g (f(x))

Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2

finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x

Plz help me 3(x+1)=5+x

Answers

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

if Paul spins this spinner 100 times, approximately how many times will it land on blue? Spinner with three equal sections. One section blue, one section green, and one section red with the arrow pointing at the blue section.
a 25
b 250
c 33
d 333

Answers

Answer:

33

Step-by-step explanation:

100 / 3 is approximately equal to 33

Answer:

i think it is .c because 3 goes into about 33.33 times so hope this helps

Step-by-step explanation:

PLEASE HELP I AM GIVING 15 POINTS INSTEAD OF FIVE FOR ANSWERING PLEASSSEEE HEEEEELLLP

Answers

Answer:

Third Choice:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Step-by-step explanation:

One line has

[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

The next line's reason is that b/2a was subtracted from both sides.

The missing line is:

[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

Then it simplifies to

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

If abc=dec b=2x+31 and e=7x-24 x=?

Answers

Answer:

x = 11

Step-by-step explanation:

As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that

<A = <D

<C = <C

<B = <E

As both angles B and E are equal to each other, we can equate them

<B = <E

Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:

2x + 31 = 7x - 24

Solve for x:

7x - 2x = 31 +24

5x = 55

x = 11

Answer:

11

Step-by-step explanation:

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer: 4m + 3

Step-by-step explanation:

4m references the 4 bags of marbles and the m marbles in each bag.  + 3 references the extra 3 marbles.

Choose the slope and y-intercept that corresponds with the graph.

Answers

Answer:

slope 3, y intercept 4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses at y=4

The slope is positive since it goes from bottom left to top right

The slope is  up 3 over 1 so it is 3/1 = 3

Slope 3 y intercept 4
Slope goes up 3 and over 1 so it is 3/1 or 3

SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)

Answers

Answer:

C.) (6, -2)

Hope this help!

Answer:c(6,-2)vis your answer

Step-by-step explanation: The guy above me is right

Find the circumference and the area of a Circle with diameter 8km. Write your answer in terms of pi.

Answers

Answer: circumference = 8pi
Area = 16pi

Explanation:
Circumference = d x pi = 8pi

Area = d^2/4 x pi = 8^2/4 x pi = 16pi

Answer:

8pi km, 16pi  km

Step-by-step explanation:

The formula for circumference is d times pi

That means it's simply 8pi

The area formula is pi r^2

To find the radius, we divide by 2,

4 squared is 16

Area is 16pi

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