An hour before show time, only 342 people are seated for a rock fest. According to ticket sales, 91% of the people have yet to arrive. How many tickets were sold for the rock fest? Explain your thinking.

3800

Step-by-step explanation:

342 is the 9 percent that have shown up. If you divide that by nine you would get on percent of the total which comes out to be 38. so you multiply 38 by 100 and get 3800 which is 100% of the tickets sold.

54

step-by-step explanation:

6x9

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12