An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

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.

In an improper fraction, is the numerator equal to, less than, or greater than the denominator