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
kirill [66]
3 years ago
7

A and B can fill a cistern in 4 hours. A and C can fill

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

You might be interested in
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for
dimaraw [331]

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

2x = 3,200

x = 1,600

Now the sale price would be

= 1,600 × 1.25

= 2,000

6 0
2 years ago
A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle?
ycow [4]

Answer:

x^{2} +y^{2} =36

Step-by-step explanation:

A circle centered at (0,0) with radius r is x^{2} +y^{2} =r^{2}

Since your circle has diameter of 12, then its radius is 6.  Then r^{2} =36

So a possible answer is:  x^{2} +y^{2} =36

If you want to move the location of the center, but keep it on the x-axis, then add or subtract a number to the x, such as this:

(x+4)^{2} +y^{2} =36

The center of this circle would be (-4, 0) which is still on the x-axis.

8 0
3 years ago
What is the side length a in the triangle below?
grigory [225]

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

8 0
2 years ago
Find the function values
babymother [125]

Step-by-step explanation:

f(x)=3x−2  so when the variable x is replace with an actual value ( − 1 ) we get  f(−1)=3(−1)−2

=−3−2

=−5

4 0
2 years ago
Find the missing side length.<br> 9<br> 37°<br> 6
elena55 [62]

Answer:

7

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A membership at a yoga studio costs $35 per month
    10·1 answer
  • Im unsure if these answers are right! Can someone one help me!
    8·1 answer
  • Help plz fast with this
    6·1 answer
  • Workout the circumstance of a circle with radius 9 cm take π to be 3.142 to 1 decimal place​
    8·1 answer
  • Please help me with this very troubling algebra question, Thank you.
    8·1 answer
  • A triangle has the coordinates
    6·1 answer
  • Which table shows exponential decay?
    6·1 answer
  • Find the area of the trapezoid.<br> 31 cm<br> 25.4 cm<br> -13.1 cm
    9·2 answers
  • Which table represents a function ?
    7·1 answer
  • Tìm tuần hoàn y = cos2x , y = sin2x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!