The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
Answer:
8/3 or 2(2/3) Textbooks to storybooks
Step-by-step explanation:
Textbooks: (8 books)*(12 rupees/book) = 96 rupees
Storybooks: (4 books)*(9 rupees/book) = 36 rupees
Total is 132 rupees
Ratio: Textbook/Storybook = 96/36
96/36 = 8/3 or 2(2/3) Textbooks to storybooks
Answer:
See below.
Step-by-step explanation:
Infinite Solutions:
No Solutions:
Answer:
rectangle
Step-by-step explanation:
Perimeter of 20 feet
rectangle (square is technically a rectangle):
sides 5 and 5
5*5 = 25ft²
Circle:
20/(2π) = 3.18309...
3.1809...²π = 31.831ft²
Max area of rectangle (i.e. square) has a smaller area than a circle.
Let x% be the percentage
60×(1-x%)=45
1-x%=0.75
x=25%
