Question 1: For this case we define variables: x: toni's movies passes y: Maria's movies passes z: Angela's movies passes We write the system of equations: y = x + 4 z = (1/2) y = (1/2) (x + 4) x + y + z = 21 Substituting the equations 1 and 2 in the equation 3 we have: x + (x + 4) + (1/2) (x + 4) = 21 Answer: x + (x + 4) + (1/2) (x + 4) = 21 option H
Question 2: For this case we can use the Pythagorean theorem. We have then: FJ = root ((8) ^ 2 + (8-5) ^ 2) Rewriting we have: FJ = root (64 + (3) ^ 2) FJ = root (64 + 9) FJ = root (73) FJ = 8.544003745 inches Rounding: FJ = 8.5 inches Answer: FJ = 8.5 inches option B
Question 3: By definition, the volume of a cylinder is given by: V = (pi) * (r ^ 2) * (h) Where, r: radio h: height Substituting values we have: V = (pi) * ((10/2) ^ 2) * (18) V = 1413 cm ^ 3 Answer: V = 1413 cm ^ 3 H. option
