A marble bag contained 2 red marbles, 3 blue marbles, and 5 yellow marbles. Marco drew a blue marble and did not replace it. What is the probability of drawing a blue marble next?

2/9

Step-by-step explanation:

To start out you have 3 blue marbles out of 10 marbles total. If 1 out of 3 blue marbles are drawn and not put back you are going to have 2 blue marbles left and 9 marbles total. This makes the probability of drawing another blue marble 2/9.

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