One batch of vegetable soup uses 2 cups of chopped onions, 1.5 cups of chopped celery, and 1 cup of chopped carrots. select each ratio that will a chef compare cups of chopped carrots to total cups of chopped vegetables.

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

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.

Einstein office equipment has a rental plan for office machines. a fax machine that lists for $722.98 can be rented for 22% of the price annually. the state imposes a usage charge of 3.2%. if stephen hawking travel decides to rent the fax machine, what will its total monthly rental charge be?