Petoman36
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The table shows the changes in elevation of a hiker each day for three days. How many miles of elevation must the hiker gain on the fourth day to gain 1/4
mile of elevation over the four days?

days:
1: -1/4
2: 1/2
3: -1/5
4:?

Sagot :

Using operations of sum/subtraction with fractions, it is found that he must gain [tex]\frac{1}{5}[/tex] of miles of elevation on the fourth day.

---------------------------

  • On the first day, his net elevation was of [tex]-\frac{1}{4}[/tex]
  • On the second day, his net elevation was of [tex]\frac{1}{2}[/tex]
  • On the third day, his net elevation was of [tex]-\frac{1}{5}[/tex]
  • On the fourth day, his net elevation was of x.
  • We want to total to be of [tex]\frac{1}{4}[/tex].
  • Thus, we have to solve the sum of the four days equal to [tex]\frac{1}{4}[/tex] for x.

---------------------------

[tex]-\frac{1}{4} + \frac{1}{2} - \frac{1}{5} + x = \frac{1}{4}[/tex]

[tex]\frac{-5 + 10 - 4 + 20x}{20} = \frac{1}{4}[/tex]

[tex]\frac{1 + 20x}{20} = \frac{1}{4}[/tex]

[tex]1 + 20x = 5[/tex]

[tex]20x = 4[/tex]

[tex]x = \frac{4}{20} = \frac{1}{5}[/tex]

He must gain [tex]\frac{1}{5}[/tex] of miles of elevation on the fourth day.

A similar problem is given at https://brainly.com/question/16521826

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.