An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. pat notice that the shelter spent $89.50 caring for cats and dogs on wednesday. pat said that there might have been 8 cats and 14 dogs at the shelter on wednesday. are pat's number possible? use an equation to justify your answer.

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.

Which number is located at point a on the number line? a number line is shown from negative 10 to 10 with each interval mark on the number line representing one unit. point a is labeled one interval mark to the right of negative 5.

What is the area of the shaded sector?