Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is 
. Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:
Therefore,
or just
and in terms of time,
Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
Answer:
Location.
Explanation:
A point has no physical properties of any sort, so 2 would automatically be out of the question. A point on a number line is represented by a dot, and the location of whatever object you're representing as the dot will be where the dot goes. Therefore, the answer is Location.
Hope this helped!
Answer:
first car = 35, second car= 15
Step-by-step explanation:
40x+15y=1625
x+y=50
multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15
Answer:
19.
Step-by-step explanation:
PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19
Answer: An equation we can use to find the number of djembe drums you sold be
Step-by-step explanation:
Let price of maracas be m
Let the price of claves be c
Let the price of djembe drums be d
Number of maracas = 12 sets
Number of clavas = 6 sets
Number of djembe drums be xx
Total earned amount = $326
According to question,
Hence, an equation we can use to find the number of djembe drums you sold be
