John and his son are building a boxcar for a group competition. according to the rules of the competition, the length of the car must be 3 inches greater than its width. also, the width of the car must be at least 2 inches greater than the radii of the wheels. when they signed up for the competition, they were given a kit containing everything they needed to build the car except for the base and the wheels. according to the rules of the competition, they must spend no more than $50. the cost of the base will be $0.50 per square inch and the cost of each of the 4 wheels will be $2.25 per inch of radius. if x represents the width of the car and y represents the radii of the wheels, then which of the following systems of inequalities can be used to determine the length and width of the car and the radii of the wheels?

Phyllis and chen are saving money to go to a football game. each friend starts with some money and saves a specific amount each week. phyllis made a graph to show the total she has saved at the end of each week. chen wrote an equation to show the total, y, he has saved at the end of each week, x. y = 15x + 15 compare the amount that each friend has when both friends start saving. select the correct answer from the drop-down menu to complete the statement. phyllis starts with $ and chen starts with $

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

How many glue sticks are in a basket containing 96 scissors, if the ratio of glue sticks to scissors is 19 to 57.