Ben is decorating his home with vases of flowers. he bought glass vases that cost $22 each and ceramic vases that cost $14 each. the total cost of the vases came to more than $172. also, ben bought no more than 10 vases in all. which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that ben could have bought?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.