Answer:
Step-by-step explanation:
The large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved.
Volume = 500 gallons
Initial Amount of Salt, A(0)=50 pounds
Brine solution with concentration of 2 lb/gal is pumped into the tank at a rate of 3 gal/min
=(concentration of salt in inflow)(input rate of brine)
When the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.
Concentration c(t) of the salt in the tank at time t
Concentration, 
=(concentration of salt in outflow)(output rate of brine)
Now, the rate of change of the amount of salt in the tank
We solve the resulting differential equation by separation of variables.
Taking the integral of both sides
Recall that when t=0, A(t)=50 (our initial condition)
Answer:
a. False
b. True
c. True
d. I think it's true
e. False
Step-by-step explanation:
a. The unit rate is 19.75 gallons per minute
b. It is true because when x=0 y is also equal to 0, therefore it passes through the origin
c. 19.75 is about 20, and 20 multiplied by 5 is 100
d. Like I said before I don't know but I hope you get it correct ._.
e. When x=8 the equation would be 19.75*8 which is equal to 158 not 150
Answer:
x
=
21/2
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
3x=x+21
Move all terms containing x to the left side of the equation.
2x=21
Divide each term by
2
and simplify.
x
=
21/2
Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.
Answer:
1: clay climbs across steep mountain slope to cut treee
2:clay goes in search for a dead pine tree
3:clay discovers more trees to be used as firewood
4:clay uses his ax to climb down mountain
5: clay makes profit from selling firewood
Step-by-step explanation:
I use common sense
