What is 12/25 divided by 4
2 answers:
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Answer:
22 more gallons.
Step-by-step explanation:
Given:
Car A's fuel efficiency is 34 miles per gallon of gasoline.
Car B's fuel efficiency is 23 miles per gallon of gasoline.
Question asked:
At those rates, how many more gallons of gasoline would car B consume than car A on a 1,564 miles trip?
Solution:
<u>Car A's fuel efficiency is 34 miles per gallon of gasoline.</u>
<u>By unitary method:</u>
Car A can travel 34 miles in = 1 gallon
Car A can travel 1 mile in =
Car A can travel 1564 miles in =
<u>Car B's fuel efficiency is 23 miles per gallon of gasoline.</u>
Car B can travel 23 miles in = 1 gallon
Car B can travel 1 mile in =
Car B can travel 1564 mile in =
We found that for 1564 miles trip Car A consumes 46 gallons of gasoline while Car B consumes 68 gallons of gasoline that means Car B consumes 68 - 46 = 22 gallons more gasoline than Car A.
Thus, Car B consumes 22 more gallons of gasoline than Car A consumes.
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Sum/difference:
Let
This means that
Now, assume that is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.