Ms. Jackie bought some apples for $1 each and some oranges for $2 each. She bought 22 pieces of fruit for $38. Write a system of equations that could be used to find the number of apples and oranges she bought. Your answer

Which ratios are equivalent to 10: 16? check all that apply. 30 to 48 25: 35 8: 32 5 to 15

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.

Explain how you divide powers with like bases. discuss why the bases have to be the same. how are these rules similar to the rules for multiplying powers with like bases.