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"""""""""""# # #%#&#'#(#)#U#V#W#X#Y####$$$ $!$"$#$$$%$&$'$($)$$$$$$$$$%^%_%%%%&&&&&&F&G&H&I&J&&&&'''''''''''''x'y'z'{'|'}'~''($(%((((((() ) ) ) ))b)c)d)e))))))))))))*<*=*>*?*@*A*B++,,-5-6.0.1.K.L.M.N.O.{.|.}.~...../D/E/F/G/H/I/J/K/L/M/N/O////001e1f112 2 2 2 22:2;2<2=2>22223333333 3 3 3 3 33l3m3n3o3p334444555555B5C5D5E5F55556 6 6 6666666666t6u6v6w6x6y6z667}7~7777777888888q8r8s8t8888888888889K9L9M9N9O9P9Q9R:: :::::::::;;;;;;Y;Z;[;\;;;;;;;;;;;;<3<4<5<6<7<8<9<<===:=;=U=V=W=X=Y=========>N>O>P>Q>R>S>T>U>V>W>X>Y>>>> > Y   q    f       0   W   p  )   w  O   " #  $ % '~ ( *B .1 / 1 3p 4 6z 7 9R : <9 =; > > > > > ..j_.O. .._. ... .$.(.*.,.0.|4N.x7c.t;.pUNIT A: GETTING TO KNOW YOUR CALCULATOR EVEN QUESTIONS 2-40 2. A twenty-gallon gas tank is filled before starting a trip. After driving for a few hours, the gas gauge shows that you have used one-fourth of the tank of gas. a. If the gauge is accurate, how many gallons of gas have been used? b. How many gallons are left in the tank? What are you looking for? What do you need to answer the question(s)? 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): 4. An amusement park ride can carry 12 passengers in each cycle. a. If a new cycle starts every 3 minutes, how many cycles does the ride make each hour? b. How many passengers can ride each hour? c. How long would it take for all the students in your class to have a ride? What are you looking for? What do you need to answer the question(s)? 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 corr_ect): 6. Approximately 60 gallons of water are used each day by each person in the United States. a. Using this figure, determine how much water is needed for all the students in your classroom each day. b. How many gallons of water are needed for the population of your city or town each day? What are you looking for? What do you need to answer the question(s)? 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): 8. Clark treats their land using the new sprayer. It is equipped with a 1000-gallon sprayer tank. When done spraying, Clark has used a total of 2 3/4 tanks of mixture.O a. How many gallons of mixture did Clark use? b. If the sprayer was adjusted so that each tankful treated 80 acres, how many acres did Clark treat? What are you looking for? What do you need to answer the question(s)? 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): 10. Jake has a piece of unfenced property. He is estimating how much material will be needed to fence his property. His land has four sides measuring 175 feet, 290 feet, 175 feet, and 320 feet. a. What is the total distance around Jakes property. b. Jake plants to position a fencepost every 16 feet along the fence (dividing the fence into 16-foot sections). About how many fenceposts will Jake need? What are you looking for? What do you need to answer the question(s)? 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): 12. Your class is sponsoring a fund-raising movie. The school has a total of 894 students and the class expects that at least one-third will purchase tickets. a. How many students is the class expecting to purchase tickets? b. If each ticket is sold for $1.25, how much income from ticket sales is expected? c. By the day of the movie, 328 tickets had been sold. How many more tickets were sold than expected? What are you looking for? What do you need to answer the question(s)? 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): 14. Employees at Makemfast Industries record their time-card data in units of one- tenth hours. Mary recorded on her time card the following entries: 3.1 hours on job number 1653, 2.2 hours on job number 1731, 1.4 hours on job number 2236, 0.9 hour for lunch and breaks, and 0.4 hour of idle time. a. How many minutes are in one-tenth of an hour? b. How many total hours does Mary record on her time card? c. Marys supervisor tries to keep her schedule so that her idle time is not more than 1/20 of her total hours. Was Mary idle more than 1/20 of her total hours this day? What are you looking for? What do you need to answer the question(s)? 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): 16. The cash registers at Super-Mark-It showed the following total sales at the end of the day: $438.13, $280.75, $1,003.87, and $892.30. a. Calculate the stores total sales for the day. b. If the store makes roughly 1 1/2 cent (or $0.015) profit on each dollar of sales, about how much profit did the store make on this day? What are you looking for? What do you need to answer the question(s)? 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): 18. The Bear Club contributed popcorn for your class to sell at the movie. Your class estimates that about 1/3 of the 328 ticket holders will buy 75 cent bags of popcorn. The Bear Club is asking for 1/4 of the proceeds from sale of popcorn. (Round all money amounts to the nearest cent.) a. About how many ticket holders does the class expect to buy popcorn? b. What would be the total proceeds from selling this popcorn? c. After giving the Bear Club their share of the proceeds, how much would your class receive? What are you looking for? What do you need to answer the question(s)? 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): 20. Suppose you are planning a dance for a large group. You are expecting about 420 couples to attend, and have estimated the following prices and expenses. Income will be from: Tickets sold at $20 for each attendee Pictures of couples taken at $10 each (Hope that 3/4 of the couples will pose for pictures) Expenses will be: Decorations, $39.16 Band, $650 Photographer, $4 per picture plus $100 setup fee Refreshments, $3 per attendee Building fee, $50 Printing of tickets, $20 Publicity, $75 a. How much income can you expect from the attendance? b. How much expense can you expect? What are you looking for? What do you need to answer the question(s)? 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): 22. The recommended dosage for a particular medication is 6.8 milligrams (mg) per pound of body weight per day, not to exceed 1000 mg per day. a. For a 125-pound patient, about what would you expect the doctor to recommend for a daily dosage? b. How much medication would be needed for a three-day hospital stay? What are you looking for? What do you need to answer the question(s)? 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): 24. A patients chart shows her height at the last visit to be 4 feet 6 7/8 inches. Today she measures 4 feet 8 1/4 inches. a. How much has the patient grown since the last visit? b. Does it matter how many inches are in 4 feet? Explain. What are you looking for? What do you need to answer the question(s)? 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): 26. Bill currently is working at a job earning $7.54 per hour, working 40 hours each week. He has an opportunity for a promotion. The new assignment would be a salary position paying $17,000 per year. a. Assuming Bill gets paid for 52 weeks at his present job (no overtime), how much does he earn a year? b. How does this compare to the salary offer? What are you looking for? What do you need to answer the question(s)? 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): 28. Your salon buys shampoo in one-gallon containers. a. How many shampoos can be given from a 128-oz can of cream shampoo if it takes 2 1/2 oz for each shampoo? b. Suppose you use liquid shampoo from the same sized container. If each shampoo now uses 2 oz, how many customers can you serve from a container? What are you looking for? What do you need to answer the question(s)? 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): 30. You are comparing the cost of the apartment rent to the cost of renting a duplex. The apartment furnishes all the utilities and charges a rent of $450 per month. The duplex that you are considering will cost $375 per month, but you must pay the utility bills. The occupants of the other half of the duplex tell you that their monthly bills run from $40 to $80 for electricity and $10 to $20 for water. a. Assuming that your utilities would be similar to the information above, what would be the maximum you would expect your utility bills to reach per month? What would be the minimum? b. For a month with the maximum utility bills, what would be the total cost of rent and utilities? How does this compare to the apartment rent? c. Assume that the minimum utility cost applies for half the year, and the maximum applies for the other half. What would be the total cost of the duplex rent and utilities for a year? How does this compare to the apartment rent for a year? What are you looking for? What do you need to answer the question(s)? 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): 32. In a parallel circuit, the total circuit current equals the sum of the individual currents. A check of the current drain in a parallel kitchen circuit shows that, when in use, the refrigerator draws 3.27 amps, the electric iron draws 4/12 amps, the toaster draws 8.75 amps, and the fluorescent lights draw 0.53 amp. a. What would be the total current drawn from this circuit if all the items were in use simultaneously? b. Suppose the owner attaches a device that reduces the current the refrigerator uses by 1/10. What will the new total current be? What are you looking for? What do you need to answer the question(s)? 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): 34. The volume of a typical classroom is about 8000 cubic feet. a. If air flows through the main cooling/heating duct into the classroom at 96 cubic feet of air eNach minute, find out how many minutes are required to completely exchange the air in the classroom. (Round the final answer to 2 decimal places.) b. Does it take the same amount of time if the room is full of people? What are you looking for? What do you need to answer the question(s)? 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): 36. With a complete turn, a screw advances a distance equal to the pitch. a. If the pitch of a #8 screw is 1/32 inch, how far will the screw advance if it is tightened 8.5 turns? (Express your answer in decimal inches, rounded to 3 decimal places.) b. What if it is a larger screw, for example a #10 screw, with the same pitch? What are you looking for? What do you need to answer the question(s)? 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): 38. A 6000-pound casting of manganese bronze alloy is being made. The composition for manganese bronze is 11/20 copper, 2/5 zinc, 3/100 manganese, 1/125 tin, 1/250 lead, and 1/125 other impurities. a. Find the number of pounds for each metal in the casting, and the allowance for impurities. b. Should the fractions add up to one? Do they? What are you looking for? What do you need to answer the question(s)? 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): 40. A forklift rated at 2000 pounds is used to load crates of machine parts weighing 680 pounds apiece. a. How many crates can the forklift lift at one time without exceeding the rated maximum? b. How many trips would be needed to move 15 crates? What are you looking for? What do you need to answer the question(s)? 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.l=T9 6*=T9DSET(H<.h99?6*=9DSETR .\.d.`.D   .XUnit A even questions