Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence

123

Step-by-step explanation:

Given that:

Method to generate the sequence:

If a number is less than or equal to 25, then the number is doubled.

And if the number is more than 25, then 12 is subtracted from it.

Here, we are given a sequence with its third number is 36.

Now, let us have a look by making the number 36 as half of its value.

= 18

This could have been the second number in the.

According to this, the first number will be

Other option for the first term can be 18 + 12 = 30

By second method, the second method can be:

36 + 12 = 48

By this method, First number 48 + 12 = 60

Other option for first number can be

Therefore, sum of four options of first term:

9 + 30 + 60 + 24 = 123

you have 6 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".