A cloth sack contains 25 red beads, 75 green beads, and 50 blue beads. If a single bead is drawn at random, what is the probability that it will be green?

1/2 or 50%

Step-by-step explanation:

25 red beads, 75 green beads, and 50 blue beads = 150 beads

P(green) = number of green beads / total

              = 75/150

              = 1/2 or 50%

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

there are infinitely many solutions.