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
Artemon [7]
3 years ago
11

One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w

orking together, to empty the pool? (Fractional answers are OK.)
Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

4 days      10 days

This comes out to:

              1 job

------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

    1 job

-------------------- = (40/14) days, or 20/7 days (just less than 3 days)

14 job·days

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

   40 days  

You might be interested in
In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W
lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= \frac{1}{2}

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the  top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted  incorrectly in incorrect order

in \sum_{k =2}^{5}(k - 1) = 10 ways  

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= \frac{6 \times 10}{120}

=\frac{1}{2}

 

8 0
2 years ago
Please help me ASAP!!!!!!!!
Maurinko [17]
1 2/6 = 6/6 + 2/6
answer is A.

----------------------
5/8 - 4/8 = 1/8
answer is B 1/8 lb
---------------------------
1 6/8 = 14/8
1 3/8 = 11/8
14/8 + 11/8 = 25/8 = 3 1/8
answer is C. 3 1/8 miles
-----------------------
1 7/100 + 4 6/10 = 5 67/100 (5 and 67/100)

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

3/4(4) =3
1/4(2) = 1/2

3 - 1/2 = 6/2 - 1/2 = 5/2 = 10/4

answer is C. 10/4 ft
8 0
3 years ago
Read 2 more answers
Name a fraction equal to 1/2 with a denominator of 9
kolezko [41]
4.5/9. It is technically an improper fraction but it still counts.
3 0
2 years ago
Read 2 more answers
At the beginning of this month, the balance of Carl's checking account was $437.55. So far this month, he has received a paychec
Nuetrik [128]
Again, just simple addition and subtraction: $1,034.52
5 0
3 years ago
Read 2 more answers
51% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
andrew-mc [135]
I think the answer is 51/100

5 0
2 years ago
Read 2 more answers
Other questions:
  • 17. Write a quadratic equation to find two consecutive odd natural numbers whose
    8·1 answer
  • What is the answer to <br> 3/4 of 200
    10·1 answer
  • WILL GIVE BRAINLIEST !!!
    13·2 answers
  • When it comes to equity, what does it mean to have negative equity or be under water?
    11·1 answer
  • The sum of two rational numbers is always rational? true or false
    5·1 answer
  • Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.how old is christopher?
    12·2 answers
  • Help I need your math skills
    15·1 answer
  • Question 8 (1 point)
    13·1 answer
  • -86, 88, 33, 55, 93, 6, 88, 81, 5, -33, 33, -33
    6·1 answer
  • 4x-5=19 please help thank you
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!