A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?

64 cupcakes

Step-by-step explanation:

Tray 1 = 2 cupcakes

Tray 2 = 4 cupcakes

Tray 3 = 8 cupcakes

Tray 4 = 16 cupcakes

Tray 5 = 32 cupcakes

Tray 6 = ?

This is a geometric progression

First term, a = 2

Common ratio, r = 4/2

= 2

6th term = ar^n-1

= 2 × 2^6-1

= 2 × 2^5

= 2 × 32

= 64

The 6th tray will have 64 cupcakes

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".

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation: