Point D is on line segment CE. Given DE = x + 2, CD = 3x + 2, and CE = 5x + 2, determine the numerical length of CE.

12

Step-by-step explanation:

(5x + 2) = (4x + 4)  

x + 2 = 4

x = 2

5(2) + 2 = 12

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: