In a group of 140 students,80 study mathematics,15 study only geography and 20 study only physics.58 study both mathematics and Geography,50 study both geography and physics and 65 study physics. Each student studies at least one of the three subjects i. Illustrate the information on a venn diagram
ii. Use your venn diagram to find the number of students who study:
a) all the three subjects
b) maths and physics but not geography
c) maths only
d) geography

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.