Ratios and Scale Worksheet #1. What does it mean when a map of a park says its scale is 1 to 50? #2. If a pathway in this same park is 7 inches long on the map, how many inches is it in real life? #3. How many feet will this same pathway be in real life? #4. A model car is built at a scale of 1 to 67. If the model car is 5 inches long, how many inches is the actual car? #5. How many feet will this same car be in real life? #6. A driver is driving at a constant speed and drives 9 miles. It takes her 10 minutes to drive this far. What is her speed in miles per hour? Help me please, thank you.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Which number completes the system of linear inequalities represented by the graph? y > 2x – 2 and x + 4y >