Melisande collected 14 bottles on saturday and 9 bottles on sunday for recycling. on monday, she took all the bottles to the recycling center, where they paid her a certain amount, b, for each bottle. however, she had to pay the recycling center a one-time service fee of $0.25. if she left there with $3.20 for the bottles, what is the value of b?
a)$0.14
b)$0.15
c)$0.23
d)$0.69
which is it?

The anwer is B. $0.15 i hope this helps

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