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
