1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonja [21]
3 years ago
5

A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. Su

ppose water is pumped out of the pool at a rate of 216ft3 per hour. If the pool starts completely full, how many hours does it take to empty the pool?
Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer: it will take 9 hours to empty the pool.

Step-by-step explanation:

The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is

30 × 18 × 4 = 2160 ft³

If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence(initial amount of water in the pool when completely full).

d represents the common difference(rate at which it is being pumped out)

n represents the number of terms(hours) in the sequence.

From the information given,

a = 2160 degrees

d = - 216 ft3

Tn = 0(the final volume would be zero)

We want to determine the number of terms(hours) for which Tn would be zero. Therefore,

0 = 2160 - 216 (n - 1)

2160 = 216(n - 1) = 216n + 216

216n = 2160 - 216

216n = 1944

n = 1944/216

n = 9

You might be interested in
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Makovka662 [10]

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

please mark as brainliest

8 0
2 years ago
four cards numbered 1, 5, 8, and 9 are placed in a bag. A card is drawn at random and then replaced. Then a card is drawn at ran
Vadim26 [7]

Answer:

1/16

Step-by-step explanation:

Four cards numbered (1, 5, 8,9)

Given the sample space S= 4

1.The first selection with replacement

Probability of picking a 9= 1/4

2. Second selection, probability of picking a 9= 1/4

Hence the probability that both cards drawn have the number 9.

Is = (1/4)*(1/4)= 1/16

6 0
3 years ago
REALLY REALLY FASTTTT AND I NEED THE RIGHT ANSWERRRRR, Who ever gives me the right answer i will give them 20 points for free.
disa [49]
She should randomly select campers period, because she wants to estimate the percentage of "campers that ride once a week" and not for example what percentage of campers who ride that ride once a week...
5 0
3 years ago
Read 2 more answers
Graph function y=x+1
fiasKO [112]

Answer:

Are u asking to graph a point(s)?

Step-by-step explanation:

Ok I have the answer

3 0
3 years ago
Find the solution set 7x^2-9x-10=0
vitfil [10]

Answer:

x = -5/7, 2

Step-by-step explanation:

Step 1: Factor

(5x + 7)(x - 2) = 0

Step 2: Find <em>x </em>roots

5x + 7 = 0

x = -5/7

x - 2 = 0

x = 2

5 0
3 years ago
Read 2 more answers
Other questions:
  • The science club raised money to clean the beach the spent $29 on trashbags and $74 on waterproof boots I still have $47 left ho
    13·1 answer
  • The seats at a local baseball stadium are arranged so that each row has five more seats than the row below it. If there are 4 se
    13·1 answer
  • Alexandra scored 40 on an exam, receiving 3 points for each right answer and losing 1 point for each wrong answer. Had 4 points
    7·1 answer
  • Kln= mln by the HL theorem. true or false
    11·2 answers
  • Find the slope between the two given points in questions 3-4.
    14·2 answers
  • (-x^2-x+3)+(-x-1) simplify
    12·2 answers
  • 63 of 90 on a number line
    11·1 answer
  • I'm thinking of a number. When l divided number by 3 the remainder is 1. When the same number is divided equally among 4 the rem
    13·2 answers
  • Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let
    9·2 answers
  • A jogging track is 1/4 mile. Sara ran 14 laps.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!