At the middle school graduation dance, the dj played 12 slow dances, which was equal to the quotient of the number of fast dances and two.

quotient means divide

 so 12 = x/2

x = 12*2 = 24

 x =24 fast songs

5x+2x=49

7x=49

x=7. 35 apples

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33