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mars1129 [50]
1 year ago
10

Jorge is hiking a trail that is 2½ miles long. He hikes 13 miles before resting.

Mathematics
1 answer:
scZoUnD [109]1 year ago
3 0

By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.

<h3>How much farther does he have to hike?</h3>

We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.

So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.

Remember that the mixed numbers can be rewritten as:

2½  = 2 + 1/2

1⁷/₈ = 1  + 7/8

So we need to find the difference:

(2 + 1/2) - (1 + 7/8) = ( 2  - 1) + (1/2 - 7/8)

= 1 + (4/8 - 7/8) = 1 - 3/8

Now we can simplify this so we get a single fraction:

1 - 3/8 = 8/8 - 3/8 = 5/8

From this, we can conclude that the distance left is 5/8 of a mile.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

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Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

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  x +2 = 3(x -4) . . . . . . multiply by x-4

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AB = x +2 = 7 +2 = 9

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AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

<em>Additional comment</em>

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

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