The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares can be used to create a square patchwork quilt? Justify your answer using three complete sentences. A. 35 B. 84 C. 64 D. 18

64

Step-by-step explanation:

For the area of the quilt to be square, the number of "Squares" must be a square number.  You must be able to take the square root and get an integer

35 is not a perfect square

84 is not a perfect square

64 is a perfect square  sqrt(64) = 8

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3