Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:
being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to
Rearranging the equation, it becomes
Integrating both sides
It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.
The final equation for the concentration of salt at any given time is
To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:
Answer:
Here are some formulas and some info to get you started:
Step-by-step explanation:
Parallelogram:
Area = Base · Height
Triangle:
Area = 1/2 · Base · Height
Know that the height is the vertical dotted line. Also know that the horizontal dotted line attached to the base is not actually part of the base.
If you need any more help let me know, and good luck!
Step-by-step explanation:
0.2x - 1 = -1
first write out the problem
0.2x - 1 = -1
+1 +1 Add 1 to both sides to remove the -1 from the same side as x
0.2x = 0
/0.2 /0.2 Divide the number being multiplied with x to get x alone
0/0.2 = 0
x = 0 Now you have the answer.
The Hernandez family has 3 large pizzas cut into 8 slices each making a total of 24 while the Wilson Family cut theirs into 10 slices instead of 8 meaning if they had 3 pizzas they would have 30 slices