There is a vase that has four marbles in different colors: red, blue, green, and orange. A random experiment consists of drawing a marble from this vase, recording the color of the marble, putting the marble back in the vase, drawing one more marble and recording the color, putting the marble back in the vase, drawing the third marble and recording the color. Note that the second and third marble that are drawn can be any marble. What is the size of the sample space

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? a. y= 4/3x -3/2 b.6x-4y=-8 c. y=3/4x+1 d.4x- 2y=-12

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)