Kevin, can clean a stadium in 5 hours working alone. chris, can
clean the same stadium in 3 hours. how long will it take for both
kevin and chris to clean the stadium if they work together?

It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

Step-by-step explanation:

Given : Time taken by Kevin to clean a stadium = 5 hours

Rate of work done by Kelvin =

Time taken by Chris to clean a stadium  = 3 hours

Rate of work done by Chris =

Let t be the time taken by both of them to clean the stadium together.

According to the question , we have

Rate of work done together = Rate of work done by Kelvin+Rate of work done by Chris

hours

 [∵ 1 hour = 60 minutes]

Hence, It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

step-by-step explanation:

in which figure is point g a centroid

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