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
sweet [91]
3 years ago
7

A swimming pool holds 480,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe

alone can empty it in 160 minutes, and the second pipe alone can empty it in 240 minutes. When both pipes are draining together, how long does it take them to empty the pool?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0
The answer is 96 min, here is why:

x / 240 + x / 160 = 1 
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min

(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
You might be interested in
(Segment Proofs)
Anni [7]

Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

4 0
3 years ago
Help asap please, explain why too!
emmainna [20.7K]

Answer:

Yes triangle ABC and DEF are similar.

Step-by-step explanation:

One rule of triangles is that all the angles in a triangle will add up to 180 degrees.

Now, first, you will figure out the remaining angle in triangle ABC.

  1. Add up 35 and 20. (35 + 20 =55)
  2. Subtract 55 from 180 (180-55= 125)
  3. When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.

Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.

  1. 125 + 35 = 160
  2. 180-160= 20

The remaining angle is 20 degrees

As you can see, triangle ABC shares the same angles as triangle DEF.

This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.

You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity

I hope this explanation helped and have a good day!

8 0
3 years ago
The difference of 24 and a number
jok3333 [9.3K]

Answer:

Step-by-step explanation:

difference means subtract.

The 24  is mentioned first so it is written  first.

Then comes the minus sign

Then the number (x)

24 - x

3 0
3 years ago
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
otez555 [7]

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

<u>Step-by-step explanation:</u>

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

4 0
3 years ago
Read 2 more answers
Find the amount and compound interest on ₹ 5000 at 6% per annum, for 3 years, compounded annually.​
stealth61 [152]

Given:

Principal = ₹ 5000

Compound rate of interest = 6% per annum

Time = 3 years

To find:

The amount after 3 years of compound interest.

Solution:

Formula for amount is:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, P is principal, r is rate of interest in % and t is the number of years.

Putting P=5000, r=6 and t=3, we get

A=5000\left(1+\dfrac{6}{100}\right)^3

A=5000\left(1+0.06\right)^3

A=5000\left(1.06\right)^3

On further simplification, we get

A=5000(1.018108216)

A=5000(1.191016)

A=5955.08

Therefore, the amount after 3 years of compound interest is 5955.08.

4 0
3 years ago
Other questions:
  • Mr. Smith drew an obtuse triangle with side lengths of 4 cm, 6 cm, and 8 cm. In addition to being an obtuse triangle, what kind
    9·1 answer
  • Find the range of the function f(x) = 4x - 7,
    11·1 answer
  • The perimeter of a triangle is 22 cm. if its two sides measure 9cm and 6cm, find the length of the third side?
    5·2 answers
  • Find slope of (4,3.2) and (10,8)
    12·1 answer
  • What is 6/12 in simplist form?
    5·1 answer
  • PLS HELP!! IM BEGGING OF YOU! SELECTING BRAINLIEST!!
    15·1 answer
  • What is the scale factor?
    8·2 answers
  • What are the coordinate points of Y
    14·1 answer
  • The probability of picking a quarter from a jar of coins is 0.125. If Cindy has 280 coins in the jar, how many quarters are in t
    7·1 answer
  • In this circle, the area of sector COD is 50.24 square units. The radius of the circle is units , and units.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!