A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311,000 in sales from these tickets. Assume that all tickets have the same price. Write an equation to represent the relationship between the number of tickets sold, x,and the total amount of money (in dollars) that they make, y.

$62.20 per ticket

Step-by-step explanation: 311,000/5,000 = $62.20

62.2x=y

Step-by-step explanation:

cost/ticket (c)

5000c = 311000

c = $62.20

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

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