Mary and John are planning on having some new carpet and furniture for their lounge and need to carry out some calculations. The diagram shows the aerial view of a lounge which is to be decorated, carpeted, and furnished (not drawn to scale).

Carpet costs £4.50 per square meter
Fitting the carpet costs £40 call out and £1.50 per hour fitting
The fitters can lay 5m2 of carpet per hour

Find the cost of fitting the carpet.

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.