The table shows the number of coins in a change dish. If Malcolm selects two coins at random without replacement, what is the probability that he selects a nickel followed by a dime? Express your answer as a decimal rounded to the nearest thousandth if necessary.

Step-by-step explanation:

When Malcolm selects the 1st coin, the probability for it to be a nickel is 6/29.

When Malcolm selects the 2nd coin, the probability for it to be a dime is 8/28.

Hence the total probability is 6/29 * 8/28 = 14/203.

b is the answer that makes most sense

step-by-step explanation:

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".