Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. these equations represent this situation. y = x + 10 y = 2x + 5 in the equations, which are drawn on the graph, x represents the number of movies downloaded and y represents the money spent. sarah and lisa would spend an equal amount per month if they each downloaded how many movies?

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?