13) If a stick that is 14 inches long casts a shadow of length 17 inches at the same time an office building's shadow is 75 feet long, how tall is the building? Round to one decimal place. 5 14 x = 17.75 14x = 1275 - 2 14 14) A piece of manufacturing equipment can produce enough items to fill an order in 10 hours. If an auxiliary piece of equipment is used also, it will take 7 hours. How long would it take the auxiliary equipment to fill the order working alone? 7 15) Janine bikes 3 mph faster than her sister, Jessica. Janine can ride 36 miles in 1 hour less time than Jessica can ride the same distance. Find each of their speeds. t wish 312) The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale. Suppose you want to make as much punch as you can using all of the fruit drink you have, which is 27 cups. How many cups of ginger ale would you need?9) Simplify the complex fraction. LCD : 38 1 1 y + 10) Solve the equation. AlKC 1 : (x + 1 ) ( x 9 1 X - 9 RU = + x- 8 x+1 12 - 7x - 8 ( *-8) (* + 1)7) Find the least common denominator, then convert each expression into an equivalent expression with denominator equal to the least common denominator. 4 4+y 1/3 + 912- 221 72-121 LCD : y ( 4 - 2 ) ( +1 +Il ) ( 4 - 10) ( 4-1) ( 4+ 11) ( 4- 2 ) 4 +42 y ( 4 - 2 ) ( + 11 ) ( 4 - 111 -1 ( 4-2) ( + + 11 ) (4-11 ) 8) Add and subtract the expressions with unlike denominators. 4v y +1 2y-7 12 - 3y - 10 4 + yazy + y+ 2 - 27 - 10 y - 5 x +2 (4-5) (1+7) 40 y+1 ( 7 + 2 ) _ ( 24 - 7 ) ( 1- 5 ) (7 +5) ( +2 ) ( y - 5) ( 812 (7-5 ) ( 7 + 2 ) xam 3/Fall 2023/V.Pace 2alt 5) Divide. ( 701 ) ( HE I ) 4912 - 1 712 + 50t + 7 12 + 37 - 28 ( tatt) (1- 4 ( + +7 ) (to 4) 6) Madhighsand divide assindicated. 12 + 5y 12- 25 y - 5 y - 1 31 - 3 3 (y - 1)2) Simplify the rational expression. X 3x3 + 5x2 - 12x - 20 30 + 5x -128 -20 12 - 4 ( * + 2 ) ( x -2 ) ( + 2 ) ( x - 2 ) - 4