Denise buys a tote bag at a gift shop for $12. the same bag is available at denise’s pharmacy for 2/3 the price she paid at the gift shop. let’s say you have enough money to buy 10 bags from the gift shop. how many bags can you buy from the pharmacy with the same amount of money?
answer choices:
a: 3
b: 12
c: 15
d: 18

It would be 15 because 2/3 of $12 is $8. she has enough money to buy 10 bags from the gift shop which means she has $120. at the pharmacy, $120 would buy her 15 bags.

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