Answer:
The answer is C
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x−2)=6x+18
Step 1: Simplify both sides of the equation.
4(x−2)=6x+18
(4)(x)+(4)(−2)=6x+18(Distribute)
4x+−8=6x+18
4x−8=6x+18
Step 2: Subtract 6x from both sides.
4x−8−6x=6x+18−6x
−2x−8=18
Step 3: Add 8 to both sides.
−2x−8+8=18+8
−2x=26
Step 4: Divide both sides by -2.
−2x/−2=26/−2
x=−13
Answer:
x=−13
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:
C.
Lines EI and HG are parallel
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Answer:
$69,250
Step-by-step explanation: