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)

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

The equations are ,

Time spent jogging is 30 minutes

The total time would be minutes which is not equal to 75 minutes.

Let be the time spent jogging

be the time spent bike riding

Time spent jogging is 30 minutes

If he rides his bike 15 minutes longer than he jogs then he would have to jog minutes.

So, the total time would be minutes which is not equal to 75 minutes.

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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

i understand 100% 10/10 hit or miss?

step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841