Solution Manual for Mathematics for the Trades: A Guided Approach, 11th Edition

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SOLUTIONSMANUALHALM.SAUNDERSMATHEMATICS FOR THETRADESAGUIDEDAPPROACHHal M. SaundersRobert A. Carman

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iiiContentsOdd-Numbered Solutions11Arithmetic of Whole Numbers32Fractions173Decimal Numbers294Ratio, Proportion, and Percent515Measurement716Pre-Algebra917Basic Algebra1018Practical Plane Geometry1299Solid Figures14910Triangle Trigonometry17111Intermediate Algebra18912Statistics205Even-Numbered Solutions2291Arithmetic of Whole Numbers2312Fractions2433Decimal Numbers2554Ratio, Proportion, and Percent2775Measurement3016Pre-Algebra3217Basic Algebra3318Practical Plane Geometry3599Solid Figures37710Triangle Trigonometry39911Intermediate Algebra41712Statistics433

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Solutions toOdd-Numbered Problems

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3CHAPTER 1ARITHMETIC OF WHOLE NUMBERSPreview 11.(a)Two hundred fifty thousand, three hundred seventy-four(b)1,065,0083.(a)67 + 58 = 125(b)7009 + 1598 = 86075.(a)64374481922368(b)305243915122061074115 or 74,115(c)908705454063560640140 or 640,0107.(a)1, 2, 3, 4, 6 and 12(b)121222326239.680 – 235 = 455 lb finished weightExercises 1-1 Reading, Writing, Rounding, and Adding Whole NumbersA.1.Three hundred fifty-seven3.Seventeen thousand, ninety-two5.Two million, thirty-four7.Seven hundred forty thousand, one hundred six9.One hundred eighteen million, one hundred eighty thousand, eighteen11.300613.11,10015.4,040,00617.36019.400021.230,000B.1.693.805.1237.1329.80611.139013.100915.86117.546119.11,42821.11,07123.25,71725.175,72827.609529.663,264

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4Mathematics for the Trades, 11eC.1.10423.63525.65147.24429.708311.411413.6415.5517.5519.1,166,040D.1.387913762640+8454861 ft3.3462758412832598260+1201636 screws5.7842814396+3841129 minutes7.(a)420260875340558564280+3103607 watts(b)875564+5581997 watts(c)260280+310850 watts9.1205865742+2573114 bricks11.$599309369+ 280$ 155713.520116049+12002929 ohms15.48574251+146756 grams17.14001800600+1003900 W19.(a)11721054915+11234264 points(b)1264776+9873027 points(c)4264+ 30277291 points

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Chapter 1 Arithmetic of Whole Numbers5E.1.35,244+ 61,77597,001 kHz3.(a)$307,225(b)$732,813(c)$2,298,502(d)$71565.(a)Total feet of each kind11,453 ft of #12 BHD258 ft of #TX12,715 ft of 410 AAC8792 ft of 110 ACSR7425 ft of 6B(b)Total feet installed at each location3530 ft at A38412 ft at A44294 ft at B15482 ft at B55073 ft at B66073 ft at C47779 ft at C5Exercises 1-2 Subtraction of Whole NumbersA.1.353.255.337.629.1311.1213.1515.3817.4619.2521.18923.28125.40827.27329.57431.280933.12,51835.474137.47,593B.1.$ 48627$ 4593.3540178217tft58 f5.$1206512–875977$330535 or $330,5357.The 4 drums contain 72 + 45 + 39 + 86 = 242 liters3 drums contain 97 + 115 + 74 = 286 litersThe total volume of the 3 drums is greater by (286 – 242) = 44 liters.9.23864174 gal11.22,000– 14,2507,750 impressions13.20000–650013500 ohms or 13,500 ohms15.1350000850000500000 Hertz or 500,000 Hertz17.8823– 8701122 HCF

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6Mathematics for the Trades, 11e19.Hyundai Sonata:$2818554448166+4716$46511–9419$37092 or $37,092Sonata Hybrid:$3093539539101+4168$48157–9107$39050 or $39,050Therefore, the Sonata costsless than the Sonata Hybrid by$1958.C.1.Total mileage of each# 160,027 – 58,352=1675# 243,302 – 42,135=1167# 378,007 – 76,270=1737# 441,322 – 40,006=1316# 510,002 – 08,642=1360# 635,700 – 35,401=299# 780,101 – 79,002=1099# 840,122 – 39,987=135# 911,671 – 10,210=1461#1073,121 – 71,040=2081Total mileage of all =12330 or 12,3303.$28245–3814$24431 or 24,4315.(a)Balance A = $2065(b)$ 63756375379=59965996 + 1683 =76797679 + 474=81538153 + 487=864086402373 =626762671990 =42774277308=396939691090 =28792879814=2065Exercises 1-3 Multiplication of Whole NumbersA.1.423.485.637.549.4511.29613.57615.32017.29019.28221.41623.79225.140427.72029.504031.193833.448435.3822

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Chapter 1 Arithmetic of Whole Numbers7B.1.809972813.8043375630124129297591or 297,5915.5005025000or 25,0007.3163263294810112or 10,1129.684453420273630780or 30,78011.30512391561030537515or 37,51513.80711180780780789577or 89,57715.7009504280363504503532536or 3,532,53617.3706102741237060378012or 378,01219.200819816064180722008397584or 397,584C.1.$7540$ 30003.65201300 ft5.5018400509001001616005001150050055009001600+55008000 = total envelopes7.27254452702162430 parts9.60424051200 bolts11.85097650 cards13.6014402416240864012014401440 min23040 screws or 23,040 screws15.235115 in. (or 9 ft 7 in.)17.850254250170021250 ohms or 21,250 ohms,No19.17022000034034037400 bu or 37,400 bu21.965480 A

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8Mathematics for the Trades, 11e23.17650000000088088000 mL or 88,000 mL25.$16400064$640$6405212803200$ 33280 or $33,28027.25060000150015000 gal/hr or 15,000 gal/hr15000230000 gal or 30,000 gal29.8001700005600800136000 or 136,000 lbD.1.$873365 = $318,645$1,000,000 – 318,645 = $681,3553.(a)111,111,111222,222,222333,333,333(b)111,111222,222333,333(c)112112,3211,234,321123,454,321(d)424422444,22244,442,2224,444,422,2225.8 hours/day5 days/week = 40 hours/weekAlpha117$ 640 = $ 28,080Beta67$1740 = $ 45,560Gamma29$3240 = $ 37,120Delta37$4940 = $ 72,520Tau18$7840 = $ 56,160Exercises 1-4 Division of Whole NumbersA.1.97 63633.84 32325.69 54547.14 r25 72522202

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Chapter 1 Arithmetic of Whole Numbers99.10 r17 717010111.23 r67 167142721613.51 r46 31030106415.210 r69 147614077060617.376 22218424219.222 r29 20001820182018221.5017 350735007723.246046 36243602424B.1.2314 3222842423.3924 936722162165.9 r181 73072917.22231 6826262629.8 r3542 3713363511.12061 732061122122200013.56 r816 9048010496815.305 r514 42754207570517.11953 6307531005347747719.9621 201618912612621.020015 300030000023.108 r424 25962419619249625.60038 2280022800027.102 r98411 420204119208229829.17 r123405 7008405295828351238C.1.(a)1, 2, 3, 6(b)6 = 233.(a)1, 19(b)prime5.(a)1, 2, 4, 5, 8, 10, 20, 40(b)40 = 2225

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10Mathematics for the Trades, 11eD.1.27 in.9 24318636333.13 hr85 11058525525555.27128 joists16 4323211222117.7 in.18 1261269.$4696–3400$1296$72 per hour18 12961263636611.48 boxes10 480408080013.27 reams500 13500100035003500015.6 loops3 1817.230 months30 69006090900000001912 230121101082019 years, 2 months19.000250 minutes200 5000040010001000000460 250240104 hr, 10 min21.21 eight-foot lengths8 1681688821$224242$ 462

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Chapter 1 Arithmetic of Whole Numbers11E.1.(a)446448 = 93(b)169,722378 = 4493.6587344 = 19.148... or 20 rivets to be sure5.297,60096 = 3100 min310060 = 51.666... or 51 hr 40 min7.42115 4830460230230Exercises 1-5 Order of OperationsA.1.2 + 86 = 2 + 48 = 503.40205 = 404 = 365.163 + 9 = 48 + 9 = 577.4882 = 62 = 49.(5 + 9)3 = 143 = 4211.24(62) = 244 = 613.16 + 5(3 + 6) = 16 + 59 = 16 + 45 = 6115.(23 + 5)(128) = 284 = 11217.6 + 473 = 6 + 283 = 343 = 3119.58 + 66122 = 40 + 124 = 4124 = 1721.2(6 + 49) = 2(6 + 36) = 242 = 8423.(43 + 8)5 = (12 + 8)5 = 205 = 425.84 + 2 = 4 + 2 = 627.18105 = 1805 = 3629.127353231.12731(4)2833.362749139335.4412561138= 737.61246485415321569= 639.126246636618941241615hours

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12Mathematics for the Trades, 11eB.1.3$34 + 5$39 = $102 + $195 = $2973.12$30 – 3$6 = $360 – $18 = $3425.Cost= 2$1240 + 3$2040 + $3240 + $500= $960 + $2400 + $3240 + $500= $71007.33$80 + 12$40 + 45$18 = $2640 + $480 + $810 = $39309.China: 515 + 213 + 281 = 255 + 63 – 28 = 346 pointsU.S.: 365 + 383 + 361 = 180 + 114 + 36 = 330 pointsChina “won.”11.8 gal22 1761760gal630 18018008 gal + 6 gal = 14 galC.1.462 + 8395 = 462 + 7885 = 83473.7482 – 115212 = 7482 – 96 = 73865.(268 + 527)159 = 795159 = 57.612 + 869 – 102638 = 612 + 774 – 27 = 13599.3579 – 16(72 + 46) = 3579 – 16118 = 3579 – 1888 = 169111.8641627 = 5427 = 145813.(296 + 1848)12 = (296 + 864)12 = 116012 = 13,92015.(3297 + 1858 – 493)(4816 – 694) = 63Problem Set 1A.1.Five hundred ninety-three3.Forty-five thousand, two hundred six5.Two million, four hundred three thousand, five hundred sixty7.Ten thousand twenty

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Chapter 1 Arithmetic of Whole Numbers139.Twelve billion, six hundred four million, seven hundred thousand, two hundred fifty11.230,05613.64,70015.6,047,920,00017.550019.94,70021.710,000B.1.87+9963.63–8555.24+ 69937.456+ 725289.396+ 53893411.43–281513.734–8564915.543–34819517.3764150419.672167134140721.20763621124213041or 13,04123.5236442094420944230384or 230,38425.9377 25921494927.45742 239421029429429.9160 1440144031.041873 13147358458433.36911342=32765466546 32763276369136324327642131264254635.120 – 408 = 120 – 5 = 11537.34 – 153 = 12 – 5 = 739.308793144124541.25696589421352C.1.(a)1, 2, 4, 8,(b)8 = 2223.(a)1, 31(b)prime5.(a)1, 2, 3, 4, 6, 9, 12, 18, 36(b)36 = 2233

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14Mathematics for the Trades, 11eD.1.6 ft + 8 ft + 20 ft + 9 ft = 43 ft3.(a)402614 ft;x151227 fty(b)54221418 ft;x311950 fty5.635 2102107.2102152452172202271151449207 lb average74144914499499.$400 + 12$110 = $400 + $1320 = $1720$ 11012220110$132011.13610729 psi, Yes13.6000000039000 gal per hour4 15600012003636650 gal per min60 3900036030030 0000015.16717 = 2839 lb17.3432 = 24 hoursNote: 45 min =34hr19.3802313801140076087780 or 87,780 cu in.21.506409– 46008946320 or 46,320 in 4 hr11580 rph4 46320193 rpm60 11580605585401801800800023.18–612122 = 6 ft from each wall

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