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Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where
.

The solution of this equation is:

The salt concentration after 8 minutes is:

The instantaneous amount of salt in the tank is:
Answer:
X=-1
Y=1
Step-by-step explanation:
6x-12y
-18
) 6x + 4y
-
-2
Subtract the two equations
6x - 12y - (6x + 4y) = -18 - (-2)
Determine the sign
6x- 12y - 6x- 4y
=-18 + 2
Simplify
-12y
- Ay
=-18 + 2
Solve the equation
Substitute
6×+4
-2
Solve the equation
X=
The answer is 0.664 because you have to divide 4/5 and 5/6
Answer:
The first blank which is in the first row would be 9
The second blank under the 5 is 100
The third blank below the 8 is 160
And the last blank is 240
Step-by-step explanation:
It you do 60 divided by 3, it would be 20, meaning each sweater costs $20.