A breakfast-food company had a contest in which numbers were placed in breakfast-food boxes. A prize of $1000 was awarded to anyone who could collect numbers whose sum was 100. The company had thousands of cards made with the following numbers on them. Complete parts a and b below. 9 12 15 18 27 30 42 75 81 90 48 No O Yes 69 a. If the company did not make any more cards, is there a winning combination? b. If the company is going to add one more number to the list and it wants to make sure the contest has at most 1000 winners, suggest a strategy to use. Choose the correct answer below and, if necessary, fill in any answer boxes in your choice. O A. The company could place a card with the number 1000 on it. OB. The company does not need to add any additional cards, because it already has cards with the numbers cards. (Use ascending order.) OC. The company could place at most 1000 cards with the number 1 on the card. OD. The company does not need to add any additional cards, because it already has cards with the numbers cards. (Use ascending order.) OE. The company could place at most 1000 cards with the number 99 on the card. ., and and on them. The company could place at most 1000 of each of these on them. The company could place at most 1000 of each of these

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.Select ALL the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. * 5 necklaces and 1 bracelet 2 necklaces and 5 bracelets 3 necklaces and 3 bracelet 4 necklaces and 2 bracelets 3 necklaces and 5 bracelets 6 necklaces and no bracelets No necklaces and 8 bracelets This is a required question

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

Three softball teams ordered equipment from the same catalog. The first team spent$285 on 5 shirts, 4 caps, and 8 bats. The second team spent $210 on 12 shirts and6 caps. The third team spent $250 for 7 shirts, 10 caps, and 3 bats. What were thecatalog prices for shirts, caps, and bats?

A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package? (Not handwritten)

Explain your answering to the following. How many 9 digit number are there that use only the digits 1,2,3,4,5,6,7,8,9?

There are 12 qualified applicants for 5 trainee positionsin a department store. How many different groups oftrainees can be selected?A.5B. 12C.95040D.792

With six card, each card has 32 numbers on it. If Fraudini added two new cards (and updated the old ones) so that he could "read" your mind for larger number  What numbers would appear in the upper left-hand corners of the new cards? Explain.   What would be the largest number that he could "read" (it was 63 for six cards)? Explain .   Which of his eight cards would have the number 213 on them? Explain.