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:
4.5
Step-by-step explanation:
First we need to turn the ratio of 1 : 3 into a fraction
1:3 = 1/3
Next we need to square that fraction
1 x 1 = 1
3 x 3 = 9
Then we turn those numbers into a fraction
1/9
We turn the .5 into a fraction
.5/x
And cross multiply both fraction by each other
1/9 x .5/x
1 x X = X
9 x .5 = 4.5
So
4.5 = X
You are correct. The scale factor is 1/5 = 0.2
Nice work.
do u need all the answers?
Split the shape in to two this is the rectangular side.
15+6=21
21×7=147
147×4=588in
square shape
6+6=12
12×12=144
144×4=576in
then add the answers together
588+576=1164in
1164 is how many more inches greater