A rule of thumb for estimating the size of a crowd is that 2 people take up 5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?

120 people

Step-by-step explanation:

Length of dance floor = 30 ft

Width of dance floor = 20 ft

Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:

= Area of dance floor ÷ 5 ft²

= (30*20) ÷ 5

= 600 ÷ 5

= 120.

120 people will crowd the dance floor.

the answer is 510

step-by-step explanation:

15 • 13 = 195

15 • 12 = 180

15 • 5 = 75

12 • 5 = 60

195 + 180 = 375

375 + 75 = 450

450 + 60 = 510

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this