7BOBO-dHHHHHH-dH-h-@H.5 - -Z,`YgH.@H.xHH(FG(HH(d'@.xD, DRD,lA/ TexFBoAItali4 Underl-- ineowC Extend@ Spt+ Subscript- Texlor--tyleF.h9v ind AgaFi-|!(}DSET5d5d@ Y-L-T-Py-,vy-8-xAy-h-v]y-\-v ,y-H-vpy--vy--vy--vy--v0y--vy--v"ny-|-v% y--v("y-0-v+y-X-v/,y-p-v1y-L-v5y-x-v7y--v;Yy-@,r@ y-23K<=>?@Z[\KLMNOPQRDFst ]^_3456789:;<=>?@AEFuv%&z{|PQRSTUVWXYZ[\] I J K L M N O q r s t u v w x y     I J K L M        \ ]    ,   { | } ~    :;efghijklmnop    &'(QR|}~HIJSTUVpqrabcdefghZ[PQRS!"# Z[\ }~STU)*+,-./0)*    ()*ST ~ ; <         ! ! !!7!8!!!!!!""""""b"c"d"e"f"g"h"i"j"k"l"m"n###M#N########$%$&$'$$$$$$$$$$$$$%%%%%%%%%% % % %%&<&=&>&&&&&&&&&&'A'B'C''''''''(((((((((( (!("(()B)C)))****8*9*:*c*d***+)+*+++,+-+.+/+0+++++++++++++,,-E-F-G---------.K.L.M......../!/"/#/$/%/&/'/(/)/*/+/,/|/}///0&0'0(0)0C0D0E0n0o0001415161718191:1;111111111111111122222222222222223R3S3T3U333333333414244444455556666O6P6Q6R6l6m6n666667]7^7_7`7a7b7c7d777777777777777889999?9@9A99999999:%:&:z:{:|::::::::;P;Q;R;S;T;U;V;W;X;Y<<<=Y=Z==>+>,>>>>>>>?/?0?1????????@@@@@ @ @ z @           2  O S ]      O  p    +   d h     {    V     (  }   "a "i "n # $ & ( ( ) ) * + - /  0) 1 1 2 2 2X 2[ 3 3 3 5 6R 7 9 ;O ;W < < < < < < < = = = = = = > > > @ N-HN-Dl-@ [-<[-8\-(\-4\-0[-,x-!x-%x-)x-,zK-l/-2j-6-:-P<-N UNIT B: NAMING NUMBERS IN DIFFERENT WAYS ODD QUESTIONS 1-39 1. Your teacher reports that 4 students failed last weeks test. a. If your class has 25 students, what fraction of the students failed the test? b. What fraction passed? c. Express the fractions as decimals, and then as percents. What are you looking for? What do you need to answer the question? 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 used are correct: 3. The label on a box of soap says Price marked is 1/3 off regular price. You are used to paying $3.69 for a regularly priced box. a. How much will the price be marked down? b. What should the discounted price be? c. What percent off is this? What are you looking for? What do you need to answer the question? 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 used are correct: 5. When you plan a banquet for a large group at a restaurant, it is a normal practice for the restaurant to charge you a 15% gratuity (in other words, 15% times the total cost of the meals). For your group, you order 26 steak dinners at $14.95 each. a. What will be the cost for the 26 dinners? b. What amount can you expect to be charged for the gratuity? (Round to the nearest cent.) What are you loloking for? What do you need to answer the question? 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 used are correct: 7. A cord of wood is equal to 128 cubic feet of stacked logs. A customer has ordered a half cord of firewood. You deliver a load of wood and make a pile of 2 1/2 foot logs that measures 4 feet high by 6 feet long, as shown below. Place picture, page 27, here. a. How many cubic feet of firewood has the customer ordered? b. Multiply the length by the height, and also by the length of the logs to find how many cubic feet of firewood you have delivered. c. Do you need to bring more wood to the customer to make a half cord? If so, how much more (cubic feet)? What are you looking for? What do you need to answer the question? 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 used are correct: 9. The pure live seed percentages (PLS%) is the best index of seed quality. It is calculated by multiplying the germination percentage by the purity percentage. a. A lot of Kentucky bluegrass seed has a germination percentage of 60% and a purity percentage of 90%. Express each of these percentages as a decimal. b. Multiply the two decimals, and convert the product back to a percentage to find the PLS% for this seed. What are you looking for? What do you need to answer the question? 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 used are correct: 11. Marianne owns 175 shares of stock that sell for 26 1/8 (dollars) per share. What is the value of Mariannes stock? (Round to the nearest cent.) What are you looking for? What do you need to answer the question? 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 used are correct: 13. The state legislature requires a state sales tax of 5%, and the city adds an additional 11/8%. (Dont round in this exercise.) a. Change each of the percentages to a decimal. b. Add the two decimal values. Change them back to a percentage to find the total percent tax required on purchases in this city. c. How much total tax (state and city taxes) can a consumer expect to pay on a $72 purchase at the cash register? What are you looking for? What do you need to answer the question? 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 used are correct: 15. A meat market purchases sixteen 10-ounce packages of luncheon meat for $15.20, and marks them up by 40% to get their selling price. a. Change the markup percent to a decimal and multiply by the meat price to find out how much the total price will be raised. b. If the market sells all the meat with this markup, what will be the total income from the meat? c. What is the selling price for each package? What are you looking for? What do you need to answer the question? 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 used are correct: 17. ABC Sales pays it sales department members a 3% commission on the first $10,000 sold each month, 3.5% commission on the next $12,000 sold during a month, and 4% commission on all sales over $22,000. Suppose that you sell a total of $24,475 this month. a. What is the amount of the commission you will receive on the first $10,000? b. What is the amount of the commission you will receive on the next $12,000? c. What amount remains after the $10,000 and $12,000 amounts are deducted from your total monthly sales[? d. What is the amount of the commission you will recieve on this remaining amount? e. So, what is your total commission income this month? What are you looking for? What do you need to answer the question? 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 used are correct: 19. A large corporation owns 21 retail stores across the nation. A business presentation chart shows that 29% of all the stores have full service automotive departments, 67% sell only automotive products, and 5% have no automotive products. a. How many of the corporations stores have full service automotive  departments? b. How many stores have no automotive products? c. Why dont the three figures on the chart add up to 100%? Should they? What are you looking for? What do you need to answer the question? 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 used are correct: 21. Kevin has determined that he takes in about 3000 calories per day. Kevin eats 450 calories for breakfast, 1200 calories for lunch, and 300 calories during afternoon snacks. a. What fraction of his daily total intake does he receive at supper? b. What percentage is this? c. At what meal does Kevin consume the largest fracion of his calories? What are you looking for? What do you need to answer the question? 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 used are correct: 23. The label on the vitamin container says that each capsule provides 125% of the recommended daily allowance (RDA) of vitamin C. The RDA of vitamin C is 30 milligrams. a. Express the percentage given as a decimal. b. How many milligrams of vitamin C are in each capsule? What are you looking for? What do you need to answer the question? 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 used are correct: 25. The water department for a city controls the fluoride level for drinking water at 0.9 parts per million. The natural level of fluoride in the reservoir (before treatment) is about 0.3 parts per million. a. How many parts per million should the city add to the water during treatment? b. What is the desired concentration expressed as a fraction? as a decimal? as a percent? What are you looking for? What do you need to answer the question? 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 used are correct: 27. On the store shelf you find three sizes of your favorite brand of dishwashing detergent. A 35-ounce size sells for $2.07, a 55-ounce size sells for $2.97, and the jumbo 65-ounce size sells for $3.63. a. For each size, what is the cost per ounce? (Round to 4 decimal places.) b. Which size should you purchase to get the most detergent for your money? c. If you use about 3 1/2 ounces of detergent per wash, how many washes should you be able to get out of this box of detergent? What are you looking for? What do you need to answer the question? 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 used are correct: 29. The Food and Drug Administration (FDA) requires that the calorie count on food labels be within 20% of the actual calorie count of the contents. The label on a box of granola cereal reports that one serving contains K130 calories. a. What is the allowance that the FDA permits on this label for the reported calories per serving? (In other words, what is 20% of the reported 130 calories per serving?) b. What is the most calories that a serving from this box should contain? What is the least? What are you looking for? What do you need to answer the question? 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 used are correct: 31. Brazing solder contains 51.2% copper, 48.3% zinc, 0.1% iron, and 0.4% lead. a. Express each of the percentages as a decimal. (Show three decimal  places.) b. In a 2000-pound batch of solder, how much of each ingredient is present? What are you looking for? What do you need to answer the question? 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 used are correct: 33. A drawing (shown below) calls for 4 pieces of bar stock, each 0.75 long. You will use a saw that removes 1/8 of material as it cuts (because the saw blade is nearly 1/8 wide). (Round your final answers to two decimal places.) Place picture, page 35, here. a. Use the drawing to find out what is the smallest single length of bar stock you can use to obtain the four pieces. b. How much stock could you save by using a 1/16 saw blade? What are you looking for? What do you need to answer the question? 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 used are correct: 35. When selecting the proper copper wiring to operate an electric motor, a common guideline suggests that one allow for 125% of the motors full-load current. You have a motor with a full-load current of 15 amps. a. Express 125% as a decimal. b. What maximum current should you allow for when wiring for this motor? What are you looking for? What do you need to answer the question? 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 used are correct: 37. Maxine is figuring out how many 8-foot 2 x 6 boards she will need. She estimates that the job will require 69 boards. She has learned to allow an additional 15% (of the actual needed amount) for waste on a jobs materials. a. How many additional boards should she purchase to provide for waste? b. How many 8-foot 2 x 6 boards should Maxine buy? c. If Maxine decides to simply buy 100 boards, what fraction is she actually allowing for waste? Is this more or less than her guideline of 15%? What are you looking for? What do you need to answer the question? 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 used are correct: 39. A 125-foot length of copper tubing is connected between two points along a straight line. The copper tubing is used as a transfer line that can experience temperatures from 70oF to 250oF. It is known that each foot of copper tubing increases in length by 0.00085% for each degree (1 Fo ) rise in temperature. (Dont round in this exercise except where indicated.) a. Write 0.00085% as a decimal. b. How much will the 125-foot copper tubing lengthen for one degree rise in temperature? c. The copper tubing is 125 feet long at 70oF. How much longer will it be when the temperature changes from 70oF to 250oF? d. What is the new length at 250oF? (Round answer to 2 decimal places.) e. Would your answer be different if the copper tubing were not laid out along a straight line? What are you looking for? What do you need to answer the question? 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 used are correct: DSET|(H-(  6* DSET(H-$ b 6*~ DSETR -- --,   -Unit B Odd Questions