Arecipe uses 1/4 cup of sugar for every 1/2 teaspoon of cinnamon . what is the unit rate in teaspoons per cup?

Step-by-step explanation:

The "teaspoons per cup" ratio, written symbolically, is

t

--- teaspoons/cup

c

Here 1/2 teaspoon of cinnamon is associated with 1/4 cup of sugar.  Therefore we have the ratio:

  1/2 teaspoon cinnamon           1            4     teaspoon of cinnamon

=   *

          1/4 cup sugar                     2           1         cup of sugar

This reduces to:

 2 teaspoons cinnamon

        1 cup sugar

and is the desired unit rate in teaspoons of cinnamon per cup of sugar.

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:

this is not a question