Atiara is studded with a mixture of gems. the ratio of sapphires to emeralds is 3: 1. if 6 emeralds are added, the tiara will contain an equal number of sapphires and emeralds. how many emeralds must be added to the original tiara so that the ratio between emeralds and sapphires is 3: 1?
(a) 9
(b) 12
(c) 18
(d) 24
(e) 27

Solve for x and y a x= 13.3 y= 16.7 b x= 23.3 y= 12.5 c x= 7.5 y= 16.7 d x=7.5 y= 12.5

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2

Two numbers have a sum of -19. one number is x. what expression represents the other number?