Question

Can someone help with this questions please

Answer 1

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