Potatoes
lommon core performance assessment
selling potatoes
ms. sacksteader owns a grocery store. she buys
272 pounds of potatoes for $99. she wants to sell
them for twice as much. she makes 9 bags containing
10 pounds each and puts the rest in 5-pound bags.
her family will eat any of the leftover potatoes.
ms. sacksteader wants to know how many 5-pound
bags of potatoes she can sell.
3. mp.1 make sense and persevere what hidden
question do you need to answer first?
each 5-pound bag of
potatoes sells for $4.
4. mp.2 reasoning how does the answer to the hidden
question relate to the original question?
5. mp.4 model with math how can you use an equation to
represent and find how many 5-pound bags of potatoes
ms. sacksteader can sell?
6. mp.6 be precise how much money will ms. sacksteader
make for the 5-pound bags? write and solve an equation
to show you computed accurately.

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

Hello!
volume of sphere =4/3.pi.r^3