Leo spent the same amount of time working on each of 5 different weight machines and then spent 2/3 of an hour on the treadmill. if he spent a total of 1 3/4 hours at the gym, which shows the correct equation and solution for x, the number of hours leo spent at each of the weight machines?

Let us say that the variable x is the amount of number of hours Leo spent at each of the weight machines.

Since there are 5 machines, therefore = 5 x

Adding this variable to the number of hours spent on the treadmill will give the total number of hours Leo spent at the gym. That is:

5 x + 2 / 3 = 1 3 / 4

5 x + 2 / 3 = 7 / 4

Therefore the correct equation is:

5 x + 2 / 3 = 7 / 4

Or if no denominator, we multiply the whole equation with 12 so that:

(5 x + 2 / 3 = 7 / 4) * 12

60 x + 8 = 21

or

60 x = 13

Solving for x will give:

x = 13 / 60

x = 0.217 hours

Leo spend 0.217 hours on each of the 5 machines.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕