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
Dafna1 [17]
3 years ago
10

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it

in 8 hours. How long will it take to fill the vat if both pipes are left​ open?
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

          time=40/3hours\approx 13.3hours

You might be interested in
John mows 247 square feet of lawn per minute. how many square yards of lawn does he mow per hour?
Black_prince [1.1K]
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour. 
6 0
3 years ago
What is the rule for the translation graphed below?
lesya [120]

Answer:

(x,y) -> (x-4, y+2)

Step-by-step explanation:

it is translated 4 to the left and 2 up

7 0
3 years ago
Identify the linear and quadratic factor(s) of the function f(x):
kykrilka [37]

Answer:

f(x) = (x^2 -4) ( x-5)

Here quadratic factor is ( x^2 -4) As x contains power 2

and linear factor is (x-5) as x contains power 1

7 0
3 years ago
If 4cm on the map represents 3km in reality, what is the real distance between the village and the sea, 32cm away on the map?
Lady bird [3.3K]
32 cm / 4 cm = 8

3 km x 8 = 24 km

it would be 24 km
5 0
3 years ago
How do I convert standard form into vertex form when there is no perfect square
balu736 [363]

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k,  you have to Get ready to create a perfect square trinomial. BUT be careful!! In previous completing the square problems with a leading coefficient not 1, ... Take half of the coefficient of the x-term inside the parentheses, square it, and place it in the box.

hope this helps :)

5 0
3 years ago
Other questions:
  • If you toss a coin and it comes up tails on eight consecutive tosses, what is the likelihood it will come up heads on the ninth
    15·1 answer
  • A customers calls and has a questions about the bill for their first months subscription. They want to know why the monthly rate
    9·1 answer
  • A shark can chase prey about 30 miles per hour. What is this rate in miles per minute?
    13·1 answer
  • Which equation is NOT an identity?
    8·1 answer
  • 2 yd<br> 3.1 yd <br> find the area
    13·2 answers
  • Sausages come in packets of 6. Bread rolls come in packets of 8. Brian wants to buy enough packs of sausages and rolls so that t
    7·1 answer
  • I need this ASAP. Pls help
    13·1 answer
  • Can someone help please ?
    8·2 answers
  • Four positive numbers add up to 84. One of these numbers is a multiple of 17. The other three number are equal. What are the fou
    14·1 answer
  • Which equation represents a line which is perpendicular to y = 0?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!