36 students signed up to volunteer for a race two or three equal groups of students and each group had a different task how many students were in each group

I two groups are formed: 18 students

If 3 groups are formed: 12 students

Step-by-step explanation:

We will answer this problem based on two occurrences:

1. The students chose to form only two groups:

If the students chose to form only two groups, the number of students in each group will be got by dividing the total number of students by 2. this will be 36/2 = 18. Therefore, there will be 18 students per group if only 2 groups were formed.

2. The students chose to form three groups:

If the students chose to form three groups, we will divide the total number of students by 3. this will be 36/3 = 12. Therefore, there will be 12 students per group if only 3 groups were formed.

1,918

step-by-step explanation:

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