A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
A) 8 minutes
B) 40 minutes
C) 67 minutes
D) 120 minutes

Answers

Answer 1
Hi,

The answer to this question is going to be

20 feet * 12 feet * 5 feet
= 20 * 12 * 5 feet ^3
= 1200 feet^3

1200 feet^3 / (30 feet^3 / minute)
= (1200 / 30) minutes
= (120 / 3) minutes
= 40 minutes

Hoped I Helped

Related Questions

Sam deposited $350 into a savings account that paid 5% in simple interest. When he withdrew his money 8 months later, how much interest did he receive?

Answers

The equation for simple interest is
I = P x R% x T
I is simple interest
P is principal, which is the amount u deposit in
R% is the rate
And T means the time

However, this question didn't list whether 5% is per annual or per monthly.

Suppose it's oer annual,
From the numbers, we can substitute in
Interest = 350 x (5%/12) x 8
Note that since the amount of time is in months, and one year has 12 months, so we need to change the rate into per monthly.
Interest = 350 x (5%/12) x 8
Answer = $11.66666676

But suppose it's per monthly.
This time we don't need to divide the rate by 12.
Interest= 350 x 5% x 8
=$140

Any number that is divisible by 2 is also divisible by 8. Find a counter example to show that the conjecture is false. 24 28 16 32

Answers

28 is not divisible by 8, but is divisible by 2.

Just to clarify, a correct statement would be “any number divisible by 8 is also divisible by 2.”

Hope this helps!

N an algebra classroom, a teacher has created an estimation game using a jar of pennies. six students remain in the contest. each student makes one guess and their guesses are as follows: 62, 52, 59, 42, 49, 65. one guess is 12 away from the exact number of pennies in the jar while the other guesses are 1, 4, 6, 9, and 11 pennies away. determine exactly how many pennies are in the guessing jar.

Answers

Im guessing 35 all I did was add 12+11

The drama club at smith valley middle school is selling cookie dough in order to raise money for costumes. if each tub cookie dough costs $4.75, how many tubs must members sell to make $570.00?

Answers

120 tubs of cookie dough
$570÷$4.75=120 tubs
Ans: 120 tubs

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y= x/3−1 ?

Answers

Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b

Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14

Finally, put in everything we've found to finish the equation.
y= -3x+14

Solve.

2x + 6 - 7x = 21

Answers

-7x + 2x (add common factors)
-5x+6+21 (what happen to one side happens to the others
-5x=21 (divide by five)
x= -3
Combine like terms, 2x + -7x = -5x.
Now you have -5x + 6 = 21.
subtract 6 from both 6 and 21, the 6 cancels out and 21-6=15.
You’re left with -5x=15
Divide 5 on both sides, -5 cancels out, and you’re left with
x=-3
sorry this was messy and i hope this made sense!

POINTS POINTS POINTS POINTS POINTS! harder question!

45(34- 2)

Answers

45(34 - 2)
Solve the stuff in the parenthesis first
45(32)
Multiply
1440

Have an awesome day! :)

Answer:

answer is 1440,ok

Step-by-step explanation:

Take a look at the figure. What is the value of y? 
A. y = 32   B. y = 64   C. y = 14   D. y = 16

Answers

That would be 32. Hoped this helped you. :)

first you minus 3 both sides then you square both sides which gives 64. then you half it so you get 32.

Determine whether the given value is a statistic or a parameter. upper a sample of students is selected and it is found that 25 % own a computer.a sample of students is selected and it is found that 25% own a computer.

Answers

xfngxfgnxnfgxgnfngfngfngfxngfx

Karen Johnson rode her 27” bicycle to the store and back. The store is 1 mile from Johnson’s Home. Approximately how many rotations did Johnson’s bicycle wheels make in going to the store and back

Answers

In about a quarter of a mile a 27” bike wheel would turn 224 times so 224x8 (for the mile there and the mile back) the bike wheel will have turned 1,792 times

Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____?

Answers

(x + 4) (x +4) can be your answer

hope this helps

that will equal x²+ 8x + 16
Hello There!

It would be 16.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 

you place a 3 3/8 pound weight on the left side of a balance scale and a 1 1/5 pound weight on the right side of a balance. How much weight do you need to add right side to balance the scale?

Answers

3 3/8 - 1 1/5 = 3-1 + 3/8 - 1/5                   = 2 +   (15-8)/40                   = 2 + 7/40                   = 2 7/40

Answer:

[tex]2\frac{7}{40}[/tex] pounds

Step-by-step explanation:

Given information:

Weight on the left side = [tex]3\frac{3}{8}[/tex] pounds

Weight on the right side = [tex]1\frac{1}{5}[/tex] pounds

We need to balance both sides.

Let x be the weight which is added to the right side to balance the scale.

[tex]3\frac{3}{8}=1\frac{1}{5}+x[/tex]

[tex]\frac{24+3}{8}=\frac{5+1}{5}+x[/tex]

[tex]\frac{27}{8}=\frac{6}{5}+x[/tex]

Subtract 6/5 from both sides.

[tex]\frac{27}{8}-\frac{6}{5}=x[/tex]

[tex]\frac{135-48}{40}=x[/tex]

[tex]\frac{87}{40}=x[/tex]

[tex]2\frac{7}{40}=x[/tex]

Therefore, [tex]2\frac{7}{40}[/tex] pounds weight is added to the right side to balance the scale.

How many ways can you split 12 people into 3 groups?

Answers

By dividing, 12/3, by distributing, 12 into 3, ...

Find the next two numbers in the sequence 1, 5, 17, 53, 161, _____, _____

Answers

5 = 1 + 4
17 = 5 + 12
53 = 17 + 36
161 = 53 + 108
485 = 161 + 324
The next two numbers are 161 and 485.

The required missing term of the given sequence is given as 485 and 1457.

What is a sequence?

The sequence is a pattern of placing the values in a specified manner.

here,

5 = 1 + 4
Since, [tex]b_0 = 4[/tex] and [tex]a_0 = 1[/tex]

17 = 5 + 12

So, the general term is given as

[tex]a_n = a_{n-1} + b_{n}[/tex]

Where, [tex]b_n = 3b_{n-1}[/tex]

For 6 th term

6 the term = 161 + 3(108)

6 the term   = 485

For the 7th term
7th term = 485 + 3(324)
7th term =  1457

Thus, the required missing term of the given sequence is given as 485 and 1457.

Learn more about sequence here: https://brainly.com/question/21961097

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Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled. How many hours did it take the first plane to travel to the destination? Enter an equation that can be used to solve this problem

Answers

If d is the distance involved 
then for first plane  d = 496x

and for second plane its d = 558/(x - 0.5)  , so:-

496x = 558x - 279

62x =  279

x = 4.5  hours

The first plane took 4 and a half hours



Answer:

4.5 hours

[tex]496 x= 558 x-279[/tex]

Step-by-step explanation:

We are given that two airplanes left the same airport and arrives at the same destination at the same time.

We have to find the number of hours taken by first plane to travel to the destination and find the equation that can be used to solve this problem

We are given that the first airplane left at 8:00 a.m

Let y be the distance traveled by the first airplane

The average rate of first airplane =496 miles per hour

The average rate of second airplane =558 miles per hour

Let x represents the number of hours that the first airplane traveled.

The number of hours that the second plane traveled =x-0.5

Because the second airplane take half an hour less than the first airplane

We know that [tex] distance=speed\times time [/tex]

[tex]d=496 x[/tex]

[tex]d=558(x-0.5)[/tex]

[tex]496 x= 558 x-279[/tex]

[tex]279=558 x-496 x[/tex]

[tex]279=62 x[/tex]

[tex]x=\frac{279}{62}[/tex]

x=4.5 hours

Hence, the first airplane takes 4.5 hours to travel to the destination.

A bag contains 44 red balls and 55 blue balls. 22 balls are selected at random. find the probability of selecting 22 red balls.

Answers

# of ways to select 2 red balls: 5C2 = 10
# of random pairs of balls: 12C2 = 66

The probability of selecting 22 red balls is  [tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

A bag contains 44 red balls and 55 blue balls

The total number of balls=44+55=99

22 balls are selected at random from bag.

We need to find the probability of selecting 22 red balls.

The probability of selecting 22 red balls from 44 balls

[tex]^{44} C_{22}[/tex]

2,104,098,963,720

and [tex]^{99} C_{22}[/tex] is 5.7190121704386E+21

So probability of selecting 22 red balls is

[tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]

Hence, the probability of selecting 22 red balls is  [tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]

To learn more on probability click:

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Greatest common factor

Answers

The greatest common factor of 8 and 14 is 2.
That's because 2 is the greatest number that can go into both 8 and 14.

I need a little help please Brainliest

Answers

For the first image, the median range would be 88. In order to find the median, you'll place all your numbers in numerical order (smallest to largest). If there are an odd amount of numbers, find the one directly in the middle. If there is an even amount, you'll take the two most central ones and find the mean, that will tell you the median. Therefore, B (88)  would be the answer to your first one.

The second one would be C (20.4). It's asking for the mean. In order to find the mean of a set of numbers, you'll simply add up all of the numbers and divide by how many numbers are in your number set. That gives you the mean.

Check my answers please -

The yearly attendance at a local move theatre is 42,000 and grows continuously at a rate of 5.9% each year. what is the approximate attendance at the movie theater in seven years?

A. 43,467
B. 59, 346
C. 63, 476
D. 62, 737 **

The number of customers that visit a local small business is 29,600 and has been continuously declining at a rate of 2.9% each year. what is the approximate number of customers that visit the buisness in 10 years?

A. 22,149 **
B. 21,874
C. 39,558
D. 22,054

Answers

I can tell you for sure that the answer to the first one is

C) 63,475

and the second is

A) 22,149


The attendance at the movie theater in seven years will be 63,476. Then option C is correct. And the number of customers that visit the business in 10 years will be 22,149. Then option A is correct.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The yearly participation at a neighborhood movie theater is 42,000 and develops ceaselessly at a pace of 5.9% every year. Then the attendance at the movie theater in seven years will be given as,

[tex]\rm y = 42,000 \times (e)^{0.059\times 7}\\\\y = 42,000 \times (e)^{0.413}[/tex]

Simplify the equation further, then we have

y = 42,000 × 1.5113

y = 63,476

The quantity of clients that visit a neighborhood private venture is 29,600 and has been persistently declining at a pace of 2.9% every year.

Then the number of customers that visit the business in 10 years will be given as,

[tex]\rm y = 29,600\times (e)^{-0.029\times 10}\\\\y = 29,600 \times (e)^{-0.29}\\[/tex]

Simplify the equation further, then we have

y = 29,600 × 0.748

y = 22,149

More about the exponent link is given below.

https://brainly.com/question/5497425

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Help me Solve this and explain to me the steps thank you

Answers

check the picture below.

recall that a flat-line is always 180°, also recall that all interior angles in a triangle are 180°, therefore  x + 95 + 54 = 180.  Surely you'd know what "x" is.

What is 435 000 in standardform?

Answers

435,0  would be the correct anwser

Write an inequality that represents the verbal expression. All real numbers greater than or equal to 74

Answers

x > = 74 <== this would be ur inequality
x<74
x represents all real numbers, and that is the greater than symbol.

If a and b are positive numbers, find the maximum value of f(x) = xa(7 â x)b on the interval 0 ⤠x ⤠7.

Answers

Final Answer:

The maximum value of f(x) = xa(7 - x)b on the interval 0 ≤ x ≤ 7 occurs when x = 7/2 for a > 0 and b > 0.

Explanation:

To find the maximum value of f(x) on the interval 0 ≤ x ≤ 7, we'll use calculus. First, take the derivative of f(x) with respect to x.

f'(x) = a * (7 - x)^b * x^(a-1) - b * a * (7 - x)^(b-1) * x^a

Setting f'(x) = 0 to find critical points:

a * (7 - x)^b * x^(a-1) - b * a * (7 - x)^(b-1) * x^a = 0

Solving for x gives x = 7/2. To determine if this point is a maximum, minimum, or inflection point, we'll use the second derivative test.

f''(x) = a * (7 - x)^(b-1) * x^(a-2) * ((a - 1) * x - 7) - b * a * (7 - x)^(b-2) * x^(a-1) * ((b - 1) * x - 7)

When x = 7/2, f''(7/2) > 0, indicating a concave-up shape and confirming it as a local minimum. Therefore, the maximum value of f(x) occurs at the endpoints of the interval, x = 0 and x = 7, or potentially at x = 7/2 if it surpasses these values.

For a > 0 and b > 0, plugging in x = 7/2 into f(x) = xa(7 - x)b yields the maximum value of the function within the given interval.

Understanding the critical points through derivatives helps identify where the maximum or minimum points occur in the function. In this case, x = 7/2 stands as the point of maximum value within the interval 0 ≤ x ≤ 7 when a and b are both positive.

Algebra help please.
Find the value of 21 + 4(3^2 - 5).
25
37
100

Answers

the answer is 37 according to my calculations

the answer would be 37

The larger of two supplementary angles measures 20° less than four times the measures of the smaller angle .find the degree measure of each angle

Answers

Supplementary angles by definition means the sum is 180.
From that knowledge we can write up some equations.
Let angle 1 = x, and angle 2 = y

x + y = 180

"The larger of two supplementary angles measures 20° less than four times the measure of the smaller angle"
(Let x be the larger angle)
x+20 = 4y

Since there are two different equations, and two variables, this means we have a set of simultaneous equations.
We can solve this via the substitution method or the elimination method.

I choose to solve it via the substitution method cause of personal preference.
x + y = 180  =>  x = 180- y
x+20 = 4y => x = 4y - 20
Make them equal each other..
180 - y = 4y - 20
200 = 5y
40 = y
Now that we know y we can sub it into any equation to find x
x + 20 = 4y
x + 20 = 4(40)
x + 20 = 160
x = 140
So the angles are 40° and 140°

We want to create a system of equations that allows us to find the values of two supplementary angles.

We will find that the larger angle measures 140° and the smaller one measures 40°.

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

Two angles A and B are supplementary if their measures add up to 180°, so we have:

A + B = 180°.

Let's assume that B is the larger one, we also do know that:

"The larger is 20° less than 4 times the smaller"

Then we can write:

B = 4*A - 20°.

Then our system of equations is:

A + B = 180°.

B = 4*A - 20°.

To solve it we need to isolate one variable in one of the equations and replace it on the other equation. Here we can see that B is already isolated on the second equation, so we can replace it in the first one to get:

A + B = 180°.

A + (4*A - 20°) = 180°

Now we can solve this for A:

A + (4*A - 20°) = 180°

5*A - 20° = 180°

5*A = 180° + 20° = 200°

A = 200°/5 = 40°

Now that we know the value of A we can get the value of B:

B = 4*A - 20° = 4*40° - 20° = 140°

Then the larger angle measures 140° and the smaller measures 40°

If you want to learn more, you can read:

https://brainly.com/question/18164299

You have the answer?

Answers

Reflect the location of computer B over the line w. Mark this new point as point C. Draw a line from computer A's location to point C. This line will cross line w at the answer point. Things won't be one hundred percent exact since you aren't given any numbers, but this is the basic idea of what to do geometrically. 

how do u do that 2*2/2*2

Answers

2 * 2
------  =
2 * 2

4
-- =
4

1
First, you would need to evaluate both the top and bottom of the fraction. 
[tex] \frac{2 x 2}{2 x 2} [/tex] = [tex] \frac{4}{4} [/tex]

Now, all you would have to do is simplify your answer. 
[tex] \frac{4}{4} [/tex] = 1

The sum would be 1. 

I hope this helps!

Please help me!!

Solve for B:

C = sqrt(A^2 + B^2)

Answers

+- sqrt(c^2-a^2:      First, square both sides of the equation to get

c^2 = a^2+b^2       now subtract a^2 from both sides

c^2 - a^2 = b^2       Now take the square root of both sides

b = +- sqrt(c^2-a^2)

Final answer:

To solve for B in the equation C = sqrt(A^2 + B^2), you square both sides of the equation, subtract A^2 from both sides, and then take the square root of the result to find B = sqrt(C^2 - A^2).

Explanation:

The equation C = sqrt(A^2 + B^2) is representative of the Pythagorean theorem, which is used in mathematics to relate the sides of a right triangle. To solve for B, we must isolate B on one side of the equation. Here's how you can do it:

Begin with the equation C = sqrt(A^2 + B^2).Square both sides of the equation to eliminate the square root, getting C^2 = A^2 + B^2.Subtract A^2 from both sides to get B^2 = C^2 - A^2.Finally, take the square root of both sides to solve for B, which gives B = sqrt(C^2 - A^2).

This gives us the magnitude of B in terms of A and C.

What is the definition to an equation?

Answers

The act of equating or state of being equated.

OR

A mathematical statement that 2 expresion are equal.

1/2 divided by 5=1 over blank I need to know the blank number

Answers

10 is the answer

1 over 2 divided by 5 equals 1 over 2 times 1 over 5, which equals 1 over 10
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