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
Doss [256]
3 years ago
12

Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36

hours. If one additional machine were used under the same operating conditions, in how many fewer hours of simultaneous operation could the production order be fulfilled?
A. 6
B. 9
C. 12
D. 27
E. 4
Mathematics
1 answer:
Andrews [41]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Let the total production order be X. The combined rate is thus x/36 orders per hour.

Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.

Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.

The new total rate thus becomes x/108 + x/36 = 4x/108

Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours

You might be interested in
Please help ASAP. Will give brainliest!
Mazyrski [523]
The anwser should be c
5 0
3 years ago
Checking congruence
Anastasy [175]

Check the picture below.

8 0
2 years ago
When Sam’s assistant was collecting the data she mistakenly noted that the oldest person was 48. The oldest person was actually
Luden [163]
I think that the answer is 2400. hope it help???
7 0
3 years ago
Solve the following word problems.
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Let a , b , c & d be the no. of chairs in hall A , B , C & D respectively.

Given,

b = 4a

c = a + 15

d = a + 8 + 4a = 5a + 8

Now,

Total no. of chairs (T) = a + b + c + d

                                   = a + 4a + a + 15 + 5a + 8

                                   = 11a + 23

Now,

Average chairs in each hall (Avg) = T/4

                                                       = (11a + 23)/4

7 0
3 years ago
Jeremy swims for 5 3/5 kilometers in a 7 Day period. she swims the same distance each day. what distance does he swim in each da
disa [49]

Answer:

Step-by-step explanation:

You turn 5 3/5 into an improper fraction, to do that you do 5 x 5 = 25 then 25 + 3 = 28/5

so in a 7 day period she swims 5.6 kilometers. So you have to do 5.6/7 = 0.8

So it would be 0.8 kilometers in a day which is 4/5 kilometers so I don't know if the answers were just wrong?

5 0
3 years ago
Other questions:
  • -2x+3y=-12 2x+y=4 After adding the two equations to eliminate x you are left with 4y=-8 solve for y
    11·2 answers
  • If i make 15 dollars a month and i need 791 dollars how many months will i have to save up for
    12·2 answers
  • If lia had 20 puppies, and then her friend took away 19 how many would be left
    12·2 answers
  • How do you factor 10x squared yz - 22x cubed y squared z
    8·2 answers
  • PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!
    13·1 answer
  • Please help me with this ty so much
    10·1 answer
  • A playground slide has a price of $770. With sales tax, it will cost $847. What is the sales tax percentage?
    11·1 answer
  • Solve 3/5x=15 <br> Please
    8·1 answer
  • Find the profit-maximizing price.
    14·1 answer
  • A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!