Jimmy's Hot chocolate recipe requires 5/8 of a cup of cocoa powder and some milk to fill one mug with hot chocolate. Jimmy makes a batch of hot chocolate using this same ratio of cocoa powder to milk, but he uses 3/4 of a cup of cocoa powder in his batch instead. How many mugs can his batch of hot chocolate fill?

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Find the commission on a $590.00 sale if the commission is 15%.

Find the actual dimensions of the box. the side length are in meters and integers. the surface area of the box is 104 m2 and volume of the box is 60 m3.