Achildren clothing manufacturer has 500 yards of material to make shirts and skirts. a shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. it takes 1 hour to make a shirt and 1.5 hours to make a skirt. the manufacture has 800 hours available to make shirts and skirts.

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Find the solution of each of the following.

Change negative exponents to positive. then solve. round to four decimal places