Let
= amount of salt (in pounds) in the tank at time
(in minutes). Then
.
Salt flows in at a rate

and flows out at a rate

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.
Then the net rate of salt flow is given by the differential equation

which I'll solve with the integrating factor method.



Integrate both sides. By the fundamental theorem of calculus,





After 1 hour = 60 minutes, the tank will contain

pounds of salt.
Answer: 2b = 3g
Step-by-step explanation:
This is quite basic to solve, below is a Step by step explanation:
from the given question we have that;
- A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.
i.e b = 1500 gallons per minute
- A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.
g = 1000 gallons per minute.
Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
ANS:
Since flow from blue hydrant b = 1500 gallons per minute, we have that
b = 3 * 500
b = 3 * 1000/2 g
b = 3/2 g
equation gives 2b = 2g
cheers i hope this helped !!
Answer:
5.20.10
Step-by-step explanation:
Given :
Coffee cost in a paper cup , $1.50 .
Coffee cost in a cremic mug , $6 .
Refills of the ceramic mug are $1 .
To Find :
How many refills do you need to buy to make buying the mug a better value
then buying individual paper cups of coffee.
Solution :
Let , number of fills to make mug better option is x .
So , money spend in mug in greater than paper cup .

Therefore , after 12 cups of coffee, ceramic mug will have better value than paper cups .
Hence , this is the required solution .