Ms. Rampal fills gum and trinket machines in front of grocery stores. In the trinket machine, there are two types of trinkets: necklaces and rings. If Ms. Rampal puts 15 necklaces and 45 rings in a machine, what is the ratio of rings to all the trinkets in the machine? Write the ratio as a fraction in simplest form.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.