3 questions about model ratios 30 points will be yours and brainliest

please add explanation :)
1. the ratio of adult dogs to puppies at the park on monday was 3:2. there were 12 puppies there that day. tuesday, 15 adult dogs were at the park. what is the difference between the number of adult dogs at the park on monday and tuesday?
2. fourteen cousins bought their grandmother a patio table for $374 and a patio umbrella for $118. sales tax was $40. if they shared the cost equally, how much did each cousin pay?
3. at 9:30 a. m, sean started filling a 4500-gallon swimming pool. at 11:30 a. m, he had filled 1800 gallons. at what time will the pool be full?

thank you so much, have a wonderful day

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