Write and solve a system of equations to solve the problem.
At a film festival, Film A is 4 times as long as Film B. Together, the films are 160 min long. How long is each film?
D
A. A + B = 160; 4A=B
Film A: 30 min, Film B: 130 min
B BA 12. am B: 32 min
B. B+A= 160; 4B = A
Film A: 128 min. Film B: 32 min
O
C
AB = 160; 4A=B
Film A: 40 min, Film B: 120 min
D.
A = 4 A+ B = 160
Film A: 120 min, Film B: 40 min

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0