Asuperhero recently asked his nemesis how many cats she has. she answered with a riddle: "two-thirds of my cats plus five." how many cats does the nemesis have?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

2. using calculations based on a perpetual inventory system, determine the inventory balance altira would report in its august 31, 2021, balance sheet and the cost of goods sold it would report in its august 2021 income statement using the average cost method. (round "average cost per unit" to 2 decimal places.)

Lucy is a dress maker. she sews \dfrac47 7 4 ? of a dress in \dfrac34 4 3 ? hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable.