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In-s [12.5K]
3 years ago
10

). (a) How much does it cost to derive 100 miles if your cat gets 25 miles per gallon and the

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
Well, for a)

the car does 25mpg, how about for 100 miles?
well, 100 is 4 * 25, so that means for 100 miles, the car will use up 4 gallons

now, each gallon is $2.5, so the total cost for that will be 4 * 2.5

for b)

m = miles
g = gallons
d = distance in miles

\bf \begin{array}{llllll}
C=&d&\cdot &\cfrac{2.5}{g}&\cdot &\cfrac{25g}{m}\\
&\uparrow &&\uparrow &&\uparrow \\
&miles&&\textit{money per gallon}&&\textit{rate of consumption}\\
&&&&&\textit{of the car}
\end{array}

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Now, for power properties we have:

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Answer:

(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7 in its simplest form.

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