delvinjamescox69
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Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day. (5 points) Part B: How much time does Jack spend jogging every day? Show your work. (3 points) Part C: Is it possible for Jack to have spent 60 minutes riding his bike if he jogs and rides for a total of exactly 75 minutes and rides his bike for 15 minutes longer than he jogs? Explain your reasoning. (2 points)

Respuesta :

Answer:

The combination of linear equations is

x+y = 75

y+15 = x

Step-by-step explanation:

x = representation of minutes Jack jogs

y = representation of minutes Jack bikes

Sum of 75 minutes for biking and jogging

x+y = 75

The combination of linear equations is

x+y = 75

y+15 = x

He bikes for 15 minutes higher than he jogs

y+15 = x

boffeemadrid

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

The equations are [tex]x+y=75[/tex], [tex]y=15+x[/tex]

Time spent jogging is 30 minutes

The total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

Let [tex]x[/tex] be the time spent jogging

[tex]y[/tex] be the time spent bike riding

[tex]x+y=75[/tex]

[tex]y=15+x[/tex]

[tex]x+15+x=75\\\Rightarrow 2x+15=75\\\Rightarrow x=\dfrac{75-15}{2}=30[/tex]

Time spent jogging is 30 minutes

[tex]y=60[/tex]

[tex]x+y=75[/tex]

If he rides his bike 15 minutes longer than he jogs then he would have to jog [tex]60-15=45[/tex] minutes.

So, the total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

Learn more:

https://brainly.com/question/13419932?referrer=searchResults

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