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GarryVolchara [31]
2 years ago
12

What is the unit ratio of miles per gallon if a car drives 75 miles and uses 3 gallons of gas?

Mathematics
1 answer:
aliya0001 [1]2 years ago
3 0

Answer:

75:3 is the original one. 3 goes into both numbers, so simplify by dividing/3

25:1 is the unit or 25 miles per gallon

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Explanation:

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The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

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There are two ways to multiply to 3 and they are

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But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

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