Robin spen 17 dollars for admissions for an amusement park if she paid 5 for admission and rides cost 3 dollars what is the total number of rides that she went on

Our equation for this situation is C(x) = 3x + 5, where C(x) is the total cost paid, 3 is the amount per ride x, and 5 is the cost to just walk in, rides or no rides.  Our total cost is 17, so we can sub that in and solve for x.  17 = 3x+5.  Subtract 5 from both sides to get 12 = 3x.  Divide both sides by 3 to get x = 4.  She rode 4 rides. 

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