The cold water faucet of a bathtub can fill the tub in 15 minutes. The drain, when opened, can empty the full tub in 20 minutes. Suppose the tub is empty and the faucet and drain are both opened at the same time. How long will it take to fill the tub?

Answers

Answer 1

Answer:

10 minutes

Step-by-step explanation:

This is because if u have both the faucet and drain on at the same time, it will fill the tub faster

Answer 2

Answer:

60 minutes

Step-by-step explanation:

faucet takes 15 minutes to fill the tub, so how much of the full tub is added per minute?[tex]15 minutes=1added/minute\\1minute=\frac{1}{15} added/minute[/tex] drain takes 20 minutes to empty the tub so how much of the full tub is lost per minute?[tex]20minutes=1lost/minute\\1minute=\frac{1}{20} lost/minute[/tex] How long it takes to fill the tub can be found by how much of it is added per minute minus lost per minute[tex]totalfilled/minute=added/minute-lost/minute\\=\frac{1}{15} -\frac{1}{20}=\frac{1}{60}[/tex] So one sixtieth of the tub is filled a minute, so that 60 parts of the tub, each taking a minute, that's 60 minutes or 1 hour

Related Questions

Allen earns $260.50
doing yard work. He mows 8
lawns for $25
each and weeds gardens for $5.50
each. What equation can be used to find the number of gardens he weeds, w
?

Answers

200 + 5.50(w)= 260.50

Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.

Answers

Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10

Step-by-step explanation: don't know just trying to help

What is the Lcm of 18 and 32

Answers

Answer:

The LCM of 18, and 32 is

Answer: The LCM is 288.

Step-by-step explanation:

To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.

Multiples of 18 are:    18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288

Multiples of 32 are:  32, 64,96,128, 160,192,224, 256, 288

The last digit 288 is the least multiple number that appears in both multiples for the two numbers.

Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.

Answers

This is the answer, 10*3+2*2=34

Answer:

[tex]3x + 2y = 34[/tex]

Step-by-step explanation:

x= the first number

y= the second number

That is how I understood the problem...

Which expression uses the associative property to make it easier to evaluate 6(3/2 * 1/5)?

A. (6 * 3/2)1/5
B. (3/2 * 1/5)6
C. 6(3/2 * 1/5)
D. 6(1/5 * 3/2)

Answers

The right one is C because it easier to multiple

Answer:

A. (6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST

Please help I will really appreciate it

Answers

Step-by-step explanation:

Elevator's starting point = -90ft

Elevator's position after 15s = -20ft

The elevator did move upwards as

-20ft. > -90ft.

_________________________________

Distance covered by the elevator = -20 + -90

= -20 + 90

= 70ft.

Time = 15s

Speed = distance/time

= 70/15

= 4.7ft/s

Emily has 25 crayons and she gets 18 more how many crayons does she have now?

Answers

Answer: 43 crayons

Step-by-step explanation:

Solve this multi step equation: 7j + 20 = 3j + 40

Answers

Answer:

j=5

Step-by-step explanation:

7j+20=3j+40

Step 1: Subtract 3j from both sides.

7j+20−3j=3j+40−3j

4j+20=40

Step 2: Subtract 20 from both sides.

4j+20−20=40−20

4j=20

Step 3: Divide both sides by 4.

4j/4

20/4

j=5

Answer:

j=5

Answer: j = 5

Solve this multi step equation: 7j + 20 = 3j + 40

First step: bring the numbers that don't have a variable on the other side of the equal sign.

7j - 3j  =  - 20 + 40

*TIP: REMEMBER: when you have a positive number, and you bring it on the other side of the equal sign, it becomes negative; same thing with a negative number. When you have a negative number, and you bring it on the other side of the equal sign, it becomes positive.*

Second step: Solve the equations on both sides.

4j = 20

Final step: (this step is easy) divide 20 by 4

20/4 = 5;

Therefore, j = 5.

if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers

Answers

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

A student was working on the problem below: Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each. Four times as many drinks as pizzas are needed. What is the maximum number of pizzas that Mr. Braun can buy? The student began by writing the let statement: Let x = # of pizzas Then the student wrote the inequality: \displaystyle 11.00(x)+0.90(4x)\ge85.0011.00(x)+0.90(4x)≥85.00 The student made a MISTAKE. Describe the student's error and explain how you know it's wrong. (Do not solve the inequality.)

Answers

Answer:

11x + 0.90(4x) ≤ $85

Step-by-step explanation:

Let the number of pizzas be represented by p

Let the number of sodas be represented by s

Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each.

$11 × p + $0.90 × s = $85

11x + 0.90y ≤ $85.......Equation 1

Four times as many drinks as pizzas are needed.

4p = s

We substitute 4p for s in Equation 1

11x + 0.90(4p) ≤ $85

What is the maximum number of pizzas that Mr. Braun can buy?

The maximum number of pizzas Mr Braun can buy =

11x + 0.90(4p) ≤ $85

The student's error has to do with the inequality sign. The student used greater than or equal to.

The correct sign is less than or equal to because Mr Braun has only $85 to spend.

please hurry and answer <33 !!!

Answers

Answer:

-17, -8

Step-by-step explanation:

if it reflects over the x-axes it only changes the y into positive or negative

I need help pls !!!!

Answers

Step-by-step explanation:

9490 is the answer but just work it out see if u can get it

Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False​

Answers

Answer: true

Step-by-step explanation:

What is the value of y in the solution to the following system of linear equations?
(2x+2=y
[2y = 5x-1
O 3
05
08
12

Answers

Answer:

The value of y is 12 nd that of x is 7

12  is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1

The given system of linear equations 2x+2=y abd 2y=5x-1

2x-y=-2...(1)

-5x+2y=-1..(2)

Multiply equation (1) with 2.

4x-2y=-4

-5x+2y=-1

Add both the equations

-x=-5

x=5

Now plug in x value

2(5)+2=y

12=y

12 is the value of  y.

To learn more on Equation:

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Coach ray has 30 feet of ribbon to place on homecoming mums. If each mum requires .6 feet of ribbon, how many mums can she make?​

Answers

Answer: 50

Step-by-step explanation:

could anyone solve this equation
i)
[tex]8 - 3x = 23[/tex]
ii)
[tex]5x - 16 = 34[/tex]
iii)
[tex]2 - 5x = - 3[/tex]

Answers

i)
8 - 3x = 23
-3x = 15
x = -5

ii)
5x - 16 = 34
5x = 50
x = 10

iii)
2 - 5x = -3
-5x = -5
x = 1

Which pair of angles is an example of supplementary angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4

Answers

Answer:

I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.

Hope that helps!

Answer:

A. Angle 1 and Angle 7

Step-by-step explanation:

Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A

This is for one of my ARMY friends. Which property of math is 7+(-2)=(-2)+7

Answers

it’s commutative because the values inside the parentheses didn’t change. the order only changed

For any number n>1, is
|(1/2 + 7/8i)^n|
a. Greater than 1?
b. Less than 1?
C.Equal to 1?​

Answers

Answer:A

Step-by-step explanation:

|(1/2 + 7/8i)^n| is grater than 1.

What is complex number?

A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.

Here, given that,

|(1/2 + 7/8i)^n|

where, n>1

then , we get,

|(1/2 + 7/8i)^n| is grater than 1.

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NEED HELP QUICK CAN SOMEONE PLEASE HELP WITH THIS!!!!!!

Answers

The answer would be D

x⁴-3x³+x-1 divided by x²+x-1​

Answers

Answer:

Step-by-step explanation:

How do you write 5.1 x 10^5 in standard form?

Answers

Answer:

510,000

Step-by-step explanation:

scientific form is what it was in

Answer:

its already in standard form. normal form would be 510000

Step-by-step explanation:

PLEASE HELP ME! please!

Answers

yes, because 1+3 is 4*2 is 8, and and on the other side 1+1 is 2*5 is 10 the 10-2 is 8 so 8=8

Answer:

yes addison is right because using distributive property would get you from  "5 (x + 1) - 2x = 2 (3 + x)" to "5x + 5 - 2x = 6 + 2x". from there, you'd combine like terms and simplify. you get "3x + 5 = 6 + 2x".  Subtract 2x on each side, and you get "x + 5 = 6". Subtract 5 on each side, you get "x = 1".

Natalia drove to her grandmother’s house for Thanksgiving. It took her 5 hours, for a total of 225 miles. What is her average speed in miles per hour?

Answers

Answer:

45mph

Step-by-step explanation:

225mi / 5hr = 45mph

Factor the linear expression 15x-10 using the greatest common factor of the terms
A.5(3x + 2)
B.5(3x - 10)
C.5(3x- 2)
D.15(x- 2)​

Answers

Answer:

The answer would be A (3x+2).

Answer: 5(3x-2) - Choice [C]

Step-by-step explanation:

Hii, do you need to factor the expression 15x-10? Np! (:

Note that 15x and -10 have a 5 in common.

To factor it out, we divide 15x and -10 by 5

3x-2 is what we obtain

Next we put parentheses around 3x-2

(3x-2) is what we obtain.

Finally, we put 5 outside the parentheses

5(3x-2)

Voila! There's our answer, cheers! (:

--

Hope that this helped! Best wishes.

--

t + –44 = –45 are equivalent to what ?

Answers

Answer:

-1

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her

Answers

Answer:

It would take her 25.2 minutes

Step-by-step explanation:

6 divided by 5 gives you the 1.2 minutes

Then I would do 1.2 minutes for each lap  * 21 laps = 25.2 minutes

Write the fraction in simplest form: 8/16 ASAP I was answering questions so I can get pants and now I need help pls

Answers

Answer:

The answer is 1/2

Step-by-step explanation:

hope that helps

8÷8=1

16÷8=2

So the answer is 1/2

i simply.. don’t kno

3n + 7 - 2
Combing like terms

Answers

Answer:

Simplifying

3n + 7 + -2 = 0

Reorder the terms:

7 + -2 + 3n = 0

Combine like terms: 7 + -2 = 5

5 + 3n = 0

Solving

5 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 3n = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 3n = 0 + -5

3n = 0 + -5

Combine like terms: 0 + -5 = -5

3n = -5

Divide each side by '3'.

n = -1.666666667

Simplifying

n = -1.666666667

Step-by-step explanation:

Can someone please help with this ?

Answers

Answer:1/32

Step-by-step explanation:

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