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Bruce went hiking on Saturday and followed a trail for 3 7/10 miles. The following week he hiked on a trail that was 3/4 of that distance. Write and solve an equation that will help you figure out how far Bruce hiked the following week. Explain the steps you took to solve the problem.

Bruce Went Hiking On Saturday And Followed A Trail For 3 710 Miles The Following Week He Hiked On A Trail That Was 34 Of That Distance Write And Solve An Equati class=

Sagot :

Boffeemadrididn

Answer:

[tex]2\dfrac{31}{40}\ \text{miles}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the distance Bruce hiked on Saturday.

[tex]y[/tex] be distance Bruce hiked on the following week which is [tex]\dfrac{3}{4}[/tex] of the distance he hiked on Saturday.

The equation will be

[tex]y=\dfrac{3}{4}x[/tex]

The distance he hiked on Saturday was [tex]3\dfrac{7}{10}\ \text{miles}[/tex].

[tex]y=\dfrac{3}{4}\times 3\dfrac{7}{10}\\\Rightarrow y=\dfrac{3}{4}\times \dfrac{37}{10}\\\Rightarrow y=\dfrac{111}{40}=2\dfrac{31}{40}=2.775\ \text{miles}[/tex]

The distance that Bruce hiked the following week was [tex]2\dfrac{31}{40}\ \text{miles}[/tex].

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