A student wants to know whether the teachers in the entire school prefer watching television or playing outdoor games after school. The student draws a random sample from the following groups: all school teachers, all students on the football team, all boys in each grade, all students in each grade. Which of the following groups best represents the population from which the student should take a random sample to get the best results for her survey?

All school teachers

Step-by-step explanation:

The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.

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".