At the gym, Alex spends 24 minutes doing resistance training for every 30 minutes
spent doing cardio exercises, Carisa spends
15 minutes on resistance for every

20 minutes on cardio, and Manuel spends

14 minutes on resistance for every

15 minutes on cardio. Which person has the
greatest ratio of minutes spent on resistance
to minutes spent on cardio?

Manuel has the greatest ration of minutes spent on resistance to minutes spent on cardio.

Step-by-step explanation:

Alex - 24:30 is simplified to 4:5 (decimal: 0.8)

Carisa - 15:20 is simplified to 3:4 (decimal: 0.75)

Manuel - 14:15 cannot be simplified - (decimal: 0.9333333333)

Manuel's ratio is greater than the others.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

sorry

step-by-step explanation:

sorry, but im pretty sure its a now that i look at it