7BOBO,<dHHHHHH,; H,;,<* 2 ,< -Z`+@xHH(FG(HH(d'@, l%/:A!X$(,;D,;@ ( E((\(,,::,7 ,;!4 }DSET 383+,;x,;,;|yVyNyyy*L y #y#Oyy,:y,:!y,:!2y,: X,-.STUVW$%&{|}~KLMNO?@ABC789:def./012 f g h i j k l + , - . / P Q R S T ! " # $ r s %&'|}~LMNOP/012\]^&'()*wx'()*,FGHIstu=>?@A  _`abc/0123,   S  K       F  G  W  Y          L   x  ,   / 2 F,;t,;p,;l ,;h ,;d,;``,:Unit 9 Study Activities 1. Use a ratio to compare the number of females to the number of males in your class. Now write a ratio that compares the number of males to the number of females. Are these two ratios different? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  2. Write a ratio that tells how fast a messenger delivers packages with a bicycle if the messanger averages 10 miles in two hours. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  3. In a fertilizer labeled 25-3-5, what is the ratio of nitrogen to potassium? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  4. Use either of the methods youve learned to decide whether these two liquid solutions have equal ratios of alcohol and water. One solution has a ratio of 55 parts alcohol to 20 parts water. tyhe second has a ratio of 33 parts of alcohol to 12 parts water. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  5. Look at Figure 9-7. Which of the rectangles shown there are similar? ratios can help you answer that question. To check out the ratios more easily, the sides have been labeled l for length and w or width. Place figure 9-7 here What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  6. Use the model on page 15 of your book to write a proportion showing that a countertop drawn to scale that is 3 inches high will actually be 36 inches high in the building. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  7. Apply the rule involving products of cross terms to solve these problems: 1. One family uses an average of 400 gallons of water per day. HOw many families will a supply of 6840 gallons serve for a day? 2. A basketball team makes 7 out of 11 of their attempted free throws in the first game of the season. If they continue to make free throws at this rate, how many free throws would the team be expected to make in 187 tries? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  8. Now you can easily solve the tabletop problem. The rectangular shaped pattern for the tabletop measures 3 by 4 and you want to make a table that is 5 wide. How long will the table be? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  9. In order for the flow to work properly in pipelines, the piping must have a certain grade of pitch. The pitch on one run of piping is such that the pipe drops 1 inch for every 4 feet. How many inches will this pipe drop in 92 feet? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  10. If the lever arm of a short corwbar is 2 feet and 200 pounds of force are applied to it to remove the spike, how much force is required when a long crowbar whose lever arm is 3.5 feet is used? Check your answer for units and reasonableness, and make sure that the products of the cross terms are really equal. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  11. The angular speed of each moving gear is inversely proportional to the number of teeth on the gear. Suppose the drive gear has 50 teeth and the pinion gear has 20 teeth. If the drive gear makes 10 revolutions per minute, how many revolutions per minute will the pinion gear make? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  DSET|(H,;\N7 )6*N7DSET(H,;X776* 7DSETR ,;L,;T,;P,;   ,;HUnit 9 Study Activities