Math 123 Quantitative Reasoning Homework 10 - Sec 11 Temperature Conversions, Dimensional Analysis 1. On a sunny day in Montreal, the outside temperature is 24. As a visiting US citizen, you quickly convert this to degrees Fahrenheit. What value do you get? 2. Marcelle, your French foreign exchange student, rushes into the kitchen one December morning in a panic. She has heard on the local radio station that the high temperature today will be 30 degrees. Marcelle is very concerned about this unusually warm temperature during the winter. To calm Marcelle you must \"translate\" the local temperature into degrees Celsius. What value do you get? (round to two decimal places) 3. What is the area in square inches of an ordinary piece of copier paper that is 8.5 inches by 11 inches? 4. How many square centimeters are in 1 square foot? (round to the nearest whole number) 5. You are ordering linoleum for an 18 foot by 15 foot kitchen, but when you get to the store the measurements are in square yards, how much should you order? 6. Some species of hummingbirds appear to hover in mid-air by flapping their tiny wings 80 times per second. How many times per minute to hummingbirds flap their wings? 7. Convert 1 kilometer per hour to meters per second. (round to two decimal places) 8. A snail crawls at a pace of 5.0 cm/min (centimeters per minute). What is the snail's pace in feet per second? (round to four decimal places) 9. You are driving in Canada and the speed limit is 110 kph (kilometers per hour). How fast is that in mph (miles per hour)? (round to two decimal places) Labels for Blackboard: Celsius, centimeters per minute, cubic feet, cubic yards, Fahrenheit, feet per second, gallons, gallons per hour, hours, kilometers per hour, meters per second, miles per hour, milligrams per dose, milliliters, square centimeters, square feet, square inches, square yards, times per minute, times per second Math 123 Quantitative Reasoning Homework 10 - Sec 11 Temperature Conversions, Dimensional Analysis 10. A certain drug dosage calls for 25mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 180 pounds, how much of the drug should they get each dosage? 11. If a drug has a concentration of 275 mg per 10 mL, how many mL are needed to give 1 gram of the drug? (round to two decimal places) Questions 12-14. I arrive home to find that my 50 foot by 40 foot basement has 18 inches of water in it. 12. What is the volume of water in my basement in cubic feet? 13. If 1 cubic foot is about 7.48 gallons, how many gallons of water will I be pumping out of my basement? 14. If you have a pump that can empty 1000 gallons of water per hour, how many hours will it take to dry out the basement? Questions 15-16. A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 12 feet and 4 inches thick. 15. How many cubic yards of concrete do you need? (round to two decimal places) 16. If the local home supply store sells concrete for $125 per cubic yard, what will be the cost of the concrete for the foundation? (round to the nearest whole number) Labels for Blackboard: Celsius, centimeters per minute, cubic feet, cubic yards, Fahrenheit, feet per second, gallons, gallons per hour, hours, kilometers per hour, meters per second, miles per hour, milligrams per dose, milliliters, square centimeters, square feet, square inches, square yards, times per minute, times per second