Agroup of students are going to attend a concert. the cost per person varies inversely and depends on the number of people attending the concert. it will cost $75 per ticket if 2000 people attend. how much will the tickets be if 5000 people attend?

If x number of tickets and y is the number of people (5000)
75x=5000
5000\75= 66.66 repeat
so x equals 66.66
 

Cost = 75 * 2000
cost = x * 5000

x = 75 * 2000 / 5000
x = 30

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12