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
So let's see here...
6:00 A.M. temperature is 33°F.
12:00 P.M temperature increased by 10°F making it 43°F.
3:00 P.M. temperature increased by another 12°F making it 55°F.
At 10:00 P.M it would decrease by 15°F making it 40°F.
The temperature would need to fall (or decrease) by 7°F to reach the original temperature of 33°F
Hope this helped!
7/8 because there are 8 pieces of pizza and they eat 7 slices of pizza.
Alright, lets get started.
Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.
x times she hiked 5 mile mountain.
So, number of mils she hiked for 5 miles will be = 5 x
Similarly,
y times she hiked 10 mile canal,
So, number of miles she hiked for canal = 10 y
So, total number of miles she hiked = 
But as per question given, she had a total of 90 miles
It means
Dividing this equation with 5
So, the equation is : Answer
Hope it will help :)
Answer:
-0.8 is less than -0.3
Step-by-step explanation:
when dealing with decimals the closer it is to 1 the greater it is
