Match the solution region of the following system of linear inequalities with one of the four regions shown in the figure. identify the unknown corner point of the solution region.
x+3y> =18
2x+y< =14
x> =0, y> =0
the coordinates of all the corner points are given on the graph except one corner point. what are the coordinates of the remaining corner point?
(x, y)=
(type an integer or a fraction)

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?