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Georgia [21]
3 years ago
5

The Eastons traveled 190 miles on a trip to Grandma’s house. At the end of the trip the odometer read 7,602 miles. Write and sol

ve an equation to find the odometer reading x at the beginning of the trip.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

Answer:

X+190=7602

X=7412

Step-by-step explanation:

The odometer read 7412 miles at the beginning of the trip.

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Find the greatest rational number r such that the ratios 8/15 ÷r and 18/35 ÷r are whole numbers.
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Answer:

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Step-by-step explanation:

"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.

  (8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)

We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.

The greatest rational number r is 2/105.

_____

<em>Check</em>

The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.

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