Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 +
1 answer:
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Answer:
25%
Step-by-step explanation:
George is 33% (
%) richer than Pete. Let Pete's percentage of wealth be 100%.
Thus George percentage of wealth = 100% + %
= %
= 133%
Pete's percent poorer than George can be determined by;
= ÷
× 100
= ×
×100
= 0.25 × 100
= 25%
Pete is 25% poorer than George.
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: