Which calculation should be completed first to solve this story problem? allister bought some sheet music. he bought 6 songs for $0.99 each and 1 book for $16.99. he paid $1.38 in sales tax. he gave the cashier $50. how much change should allister get? a. total cost of all the purchases b. total cost of 6 songs c. sum of the cost of 1 song, the book, and the tax d. the change

A. total cost of all the purchases

You can't calculate the sales tax on the sheet music or the change for $50 he would have received (which requires subtracting the total cost from $50) until you know how much the sheet music cost total.

 The B) and C) options aren't  relevant to the problem. You're trying to find the amount of change he gets after paying the total cost for all the sheet music + the tax on that.

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