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
kkurt [141]
3 years ago
9

A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal

t per gallon is entering at a rate of 4 gal/min. The second pipe containing 1/3 lb of salt per gallon is entering at a rate of 6 gal/min. The mixture is allowed to flow out of the tank at a rate of 5 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt

You might be interested in
Negative three over four times five over seven divided by negative one over two
LekaFEV [45]

Answer:

1 \frac{1}{14}

Step-by-step explanation:

-  \frac{3}{4}  \times  \frac{5}{7}  \div   - \frac{1}{2} =  - \frac{15}{28} \times  -2 =  \frac{30}{28} = 1 \frac{2}{28}  = 1 \frac{1}{14}

I am joyous to assist you anytime.

5 0
3 years ago
The graph of a function contains the points (1,3) and (2,5) which statement is correct?
polet [3.4K]
C, since replacing the X and Y of both points with the ones from the equation make correct statements
6 0
3 years ago
What is the length of segment AD?
lana66690 [7]
The answer is c. 16. I hope this helps!
3 0
3 years ago
Read 2 more answers
Is it 290 or 70 is conjugate angle
Aleks [24]
A conjugate angle is 360°, 360-70=290!
6 0
2 years ago
The scale on a map of Roswell, New Mexico is 1 inch : 0.5 mile. If two buildings in Roswell are 2.3 miles apart in real life, th
Nataly_w [17]

Im not too sure but I think its 4.6,because 1 in :.5 mile. As a whole, .5 can go into 2, 4 times, then whats left over also gets divided into .6. Add those together and youll get 4.6

4 0
3 years ago
Other questions:
  • The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $
    15·1 answer
  • Joe is riding in a bike race that goes through a valley and a nearby mountain range.
    11·1 answer
  • i need help with this question on my homework, i never learned it and i want to know the answer and how to do it. can someone he
    11·1 answer
  • Can I take a photo of my question lol
    15·1 answer
  • The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16
    14·1 answer
  • Washington Elementary has 4358 student Jefferson High School has three times as many students as Washington Elementary about how
    13·2 answers
  • Find the sum. Express your answer in lowest terms. 3/8+5/12<br> AAAHHH!!!! Help!!!!!
    12·2 answers
  • A motorist drives 146km at a certain speed. She then increase this speed of by 19km/hr and take the same time to travel the next
    15·1 answer
  • A principal of $3100 is invested at 8.25% interest,compounded annually.How many years will it take to accumulate $10,000 or more
    9·1 answer
  • Factor this:<br> 18x^2+39x-15
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!