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Answer:
2/6
Step-by-step explanation:
Ok, so if the fraction is 1/3 and the denominator needs to be 6, then what you do is figure out what would turn 3 into 6. So, 3 x 2 would equal 6 and then you would have to also keep that two and multiply that 2 with the 1 and you would get 2. That would lead to the numerator being 2 and the denominator being 6, or 2/6.

Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
The total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
Cost of gasoline per gallon = $2.75
Cost of diesel per gallon = $3.02
Amount of gasoline Gabriel needs = 15.2 gallons
Amount of diesel Gabriel needs = 9.5 gallons
Compute the total amount paid by Gabriel at the local gas station as follows:
Total Cost = Cost of gasoline × Amount of gasoline
+ Cost of diesel × Amount of diesel

Thus, the total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
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