In a bag, There are red and blue cubes in the ratio 4:7.I add 10 more red cubes to the bag. Now here are red and blue cubes in the ratio 6:7.How many blue cubes are in the bag?

Which of the following is not a subset of {1,2,3}?

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.

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.