The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becomes 2:3. How many women were in the theater before these three walked in?

no of women before they walked in is 8.

Step-by-step explanation:

given data:

ratio of men and women = 3:5

when 2 men and 1 woman walks in = 2:3

solution:

no of women in the theatre before they walked in

men/women= 3/2,

let men =3x............eqn1

women = 2x................eqn2

Total =20

therefore:

collect like terms

substitute the value gotten for x into equation 1 and 2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)