A bag has 11 brown marbles and 4 blue marbles. Half of the blue marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a blue, plastic marble?

Step-by-step explanation:

This is simple,

So first we set this problem up

2 Red + 3 Blue + 7 Green = 12 Total Marbles

The formula for calculator probability is

# of favorable outcomes / # of possible outcomes

The number of favorable outcomes we have is 3 because we are trying to find the probability of pulling out a blue marble

The number of possible outcomes is 12 because we have 12 total marbles

3/12 simplifies to 1/4 which is .25

The probability of drawing a blue marble is 0.25 or 25%

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

in which figure is point g a centroid