Jack jogs and rides his bike for a total of 75 minutes every day. he rides his bike 15 minutes more 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. part b: how much time does jack spend jogging every day? part c: is it possible for jack to have spent 60 minutes riding his bike every day? explain your reasoning.

See explanation

Step-by-step explanation:

Let x be the number of minutes Jack jogs and y be the number of minutes Jack rides his bike.

Part A.

Jack jogs and rides his bike for a total of 75 minutes every day, then

He rides his bike 15 minutes more than he jogs, then

So, the pair of linear equations to show the relationship between x and y is

Part B.

Substitute the second equation into the first equation:

Jack spends 30 minutes each day jogging.

Part C.

Suppose Jack spends 60 minutes riding his bike every day, then he spends 60 - 15 = 45 minutes jogging every day. In total, he spends 60 + 45 = 105 minutes every day. Since 105 is greater than 75, then it is not possible.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3