Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.

Number of students who do not know = 24

Step-by-step explanation:

Year II students = 240

15% of the students want to go to college.

Number of year II students who wants to go to college = 15% of 240

= 15/100 × 240

= 0.15 × 240

= 36

¾ of the students want to stay at school.

Number of students who wants to stay at the school = 3/4 × 240

= (3 × 240) / 4

= 720 / 4

= 180

Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school

= 240 - 36 - 180

= 24

Number of students who do not know = 24

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