Petoman36
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.