Solve the equation, keeping the value for x as an improper fraction. 2 3 x = − 1 2 x + 5 1. Isolate the variable by adding 1 2 x to both sides: 1 2 x + 2 3 x = 5 2. Use the common denominator to add terms: 3 6 x + 4 6 x = 5 7 6 x = 5 3. Multiply by the reciprocal: 6 7 (7 6 )x = 5(6 7 ) x =

Oliver had $50 on the day before his birthday. after he recived some money for his birthday , he had $75. write and solve eqaution to find how much money oliver received for his birthday. x+50=75

Fred and gene are hang gliding. fred is 700 feet above the ground and descending at 15 ft/s. gene is decending as shown in the table. interpret the rates of change and initial values of the linear functions in terms of the situations they model. show all work. freds equation is f(x)=-15x+700. ( genes is the table attached)

Let m ♣ n be defined as follows: m ♣ n = m^3 - n^3 if x ♣ y = 0, which statement could be true? a) x = 0, y = 1 b) x = 2, y = 2 c) x = -1, y = 0 d) x = -3, y = 3 e) x = 1/2, y = -2