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jeka94
3 years ago
13

Karla's traditional hybrid car gets 35% fewer miles per gallon than Jeenie's solar hybrid car. If Jeenie's car gets 60 miles per

gallon, how many miles per gallon does Karla's car get? Calculate Karla's car mileage in two different ways, using two different scale factors (multipliers).
Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

39\ miles/gallon

Step-by-step explanation:

Let

x------> Karla's car mileage

1) First way

we know that

100%-35%=65%=65/100=0.65

so

x=0.65(60 miles/gallon)=39 miles/gallon

2) Second way

by proportion

\frac{60}{100} \frac{(miles/gallon)}{\%} =\frac{x}{65} \frac{(miles/gallon)}{\%}\\ \\x=60*65/100\\ \\x=39\ miles/gallon

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Substituting for y into the equation for the length of fencing needed, we have

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For the amount of fencing to be minimum, then

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Now, recall that

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Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

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