Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the
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Let = amount of salt (in pounds) in the tank at time
(in minutes). Then
.
Salt flows in at a rate
and flows out at a rate
where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.
Then the net rate of salt flow is given by the differential equation
which I'll solve with the integrating factor method.
Integrate both sides. By the fundamental theorem of calculus,
After 1 hour = 60 minutes, the tank will contain
pounds of salt.
Answer:
x = -
Step-by-step explanation:
Given
(x + 5
) =
Multiply both sides by 8 to clear the fractions
6(x + 5 ) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x = = -