\fdO'^ - Old Forge Coal Mines

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44 ARITHMETIC. (89) Here we have given the difference, or $35, and the rate, or 60^, to find the base. We use the rule in Art. 198, Base = difference -=- (1 — rate) = $35 - -T- . (1 60) = $35 ^ . .40)35.000(87.5 320 3 00 40 = $87. 50. Ans.
ARITHMETIC. 45 Explanation.—There are 12 inches in 1 foot; hence, in 5,722 inches there are as many feet as 12 is contained times in 5,722 inches, or 476 ft. and 10 inches remaining. Write these 10 inches as a remainder. There are 3 feet in 1 yard : as 3 is contained hence, in 476 feet there are as many yards times in 476 feet, or 158 yards and 2 feet remaining. There are 5-^ yards in one rod ; hence, in 158 yards there are 28 rods and 4 yards remaining. Then, in 5,722 inches there are 28 rd. 4 yd. 2 ft. 10 in. (92) 5 weeks 3.5 days. X J3 5 days in 5 weeks. + 3.5 3 8.5 days. Then, we find how many seconds there are in 38. 5 days. 3 8.5 days X 2 4 hours in one day. 1540 770 92 4.0 hours in 38.5 days. X 6 minutes in one hour. 5 5 4 4 minutes in 38.5 days. X 6 seconds in one minute. 3 3 2 6 40 seconds in 38. 5 days. Ans. (93) Since there are 24 gr. in 1 pwt., in 13,750 gr. there are as many pennyweights as 24 is contained times in 13,750, or 572 pwt. and 22 gr. remaining. Since there are 20 pwt. in 1 oz., in 572 pwt. there are as many ounces as 20 is contained times in 572, or 28 oz, and 12 pwt. remaining. Since there are 12 oz. in 1 lb. (Troy), in 28 oz. there are as many pounds as 12 is contained times in 28, or 2 lb. and 4 oz. remaining. We now have the pounds required by the problem; therefore, in 13,750 gr. 2 lb. 4 oz. 12 pwt. 22 gr. and ounces there are
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c c c tec C €
Page 8 and 9: ( W v. 5 Copyright, 1897, by The Co
Page 11: Arithmetic, - CONTENTS Algebra, Log
Page 14 and 15: i ARITHMETIC. of tens. 1 + 8 + 7 +
Page 16 and 17: 4 ARITHMETIC. and the difference (4
Page 18 and 19: ARITHMETIC. (c) 217 Multiply any tw
Page 20 and 21: 8 ARITHMETIC. 72 in the dividend an
Page 22 and 23: 10 ARITHMETIC. (70 X 50 X 24 X 20).
Page 24 and 25: 12 ARITHMETIC, The 5 in the dividen
Page 26 and 27: 14 ARITHMETIC. (22) (a) 576) 589824
Page 28 and 29: 16 ARITHMETIC. (33) To reduce a fra
Page 30 and 31: 18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
Page 32 and 33: 20 ARITHMETIC. (41) ,9| + 50i + 41+
Page 34 and 35: 22 ARITHMETIC. (45) The man evident
Page 36 and 37: 24 ARITHMETIC. • u s o e 3 2 o 93
Page 38 and 39: 26 ARITHMETIC. {b) Here again the p
Page 40 and 41: 28 ARITHMETIC. 64) 1.000000(. 01562
Page 42 and 43: 30 ARITHMETIC. (66) In subtraction
Page 44 and 45: 38 ARITHMETIC. (6) .875 — 5-=? Re
Page 46 and 47: 84 ARITHMETIC. {c) First perform th
Page 48 and 49: 36 ARITHMETIC. Reducing 387 387 to
Page 50 and 51: 38 ARITHMETIC. nominator of the fra
Page 52 and 53: 40 ARITHMETIC. (d) Base = percentag
Page 54 and 55: 42 ARITHMETIC. Another method of so
Page 58 and 59: 46 ARITHMETIC. 24 ) 13750 gr. 20 )
Page 60 and 61: 48 ARITHMETIC. (98) Reduce the grai
Page 62 and 63: 50 ARITHMETIC. contained times in 3
Page 64 and 65: gal.
Page 66 and 67: 54 ARITHMETIC. (108) In multiplicat
Page 68 and 69: 56 ARITHMETIC. Since there are 24 g
Page 70 and 71: 58 ARITHMETIC. There are 100 lb. in
Page 72 and 73: 60 ARITHMETIC. 62 is contained in 1
Page 74 and 75: 63 ARITHMETIC. (121) (a) 106' = 106
Page 76 and 77: 64 ARITHMETIC. (^) .4044* = .4044 X
Page 78 and 79: 6G ARITHMETIC. Since there are 2 de
Page 80 and 81: 68 ARITHMETIC. (128) {a) .0133' =.0
Page 82 and 83: 70 ARITHMETIC (130^ (a) 1 1 20 _8 2
Page 84 and 85: 72 ARITHMETIC. in the root. Write i
Page 86 and 87: 74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
Page 88 and 89: 76 ARITHMETIC. correction. This, mu
Page 90 and 91: 78 ARITHMETIC. found by division sh
Page 92 and 93: 80 ARITHMETIC. (137) {a) 1 1 f .0 6
Page 94 and 95: 82 ARITHMETIC. (138^ {a) In this ex
Page 96 and 97: 84 ARITHMETIC. (^)
Page 98 and 99: 86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
Page 100 and 101: 88 8 8 ARITHMETIC.
Page 102 and 103: 90 ARITHMETIC. 40,000 144)40000.0(2
Page 104 and 105: 92 ARITHMETIC. (163) 2 ft. 5 in. =
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94 ARITHMETIC. (164) Taking the tim
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96 ALGEBRA. (171) See Arts. 352 and
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98 ALGEBRA. In this case, where we
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100 ALGEBRA. By Art. 482, the signs
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102 ALGEBRA. (189) Applying the met
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104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
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106 ALGEBRA- (201 ) The subtraction
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108 ALGEBRA. Canceling the factors
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110 ALGEBRA. (208) (a) Writing the
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112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
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ALGEBRA. (QUESTIONS 218-257.) (218)
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ALGEBRA. 117 Clearing of fractions,
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ALGEBRA. 119 Transposing, — A:X*
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Completing the square, ALGEBRA. 131
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Extracting ALGEBRA. 123
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(d) Completing the square, Extracti
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ALGEBRA. 127 (238) (a) i/| by Art.
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(242) ALGEBRA. 139 Let X = the whol
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(246) Then,-^ X ALGEBRA. 131 Let X
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ALGEBRA. 133 y+5-{x-o) = 6. (1) But
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ALGEBRA. 136 (266) Let X — the nu
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LOGARITHMS. (QUESTIONS 258-272.) (2
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l^OGARITHMS. 139 .6602 -3 — 1.980
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LOGARITHMS. 141 {l>) .76'"._ Log .7
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LOGARITHMS. 143 (271) Substituting
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140 GEOMETRY AND TRIGONOMETRY. in t
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148 GEOMETRY AND TRIGONOMETRY. 3 (2
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150 GEOMETRY AND TRIGONOMETRY. (302
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154 GEOMETRY AND TRIGONOMETRY. draw
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158 GEOMETRY AND TRIGONOMETRY. {d)
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1G4 GEOMETRY AND TRIGONOMETRY. (354
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166 ELEMENTARY MECHANICS. per min.
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168 ELEMENTARY MECHANICS. replaced,
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170 ELEMENTARY MECHANICS. (384) (a)
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172 ELEMENTARY MECHANICS. (389) See
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174 ELEMENTARY MECHANICS. (398) 1 h
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176 ELEMENTARY MECHANICS (412) Use
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180 ELEMENTARY MECHANICS. a distanc
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184 ELEMENTARY MECHANICS. (d) Using
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186 ELEMENTARY MECHANICS. (452) (a)
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188 HYDROMECHANICS. (457) (a) Area
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190 HYDROMECHANICS. Pressure due to
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192 HYDROMECHANICS. (47 1 ) (a) 36
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194 HYDROMECHANICS. 5' X 7854 (479)
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196 HYDROMECHANICS. (d) See Art. 10
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198 HYDROMECHANICS. Pressure per sq
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aOO HYDROMECHANICS. For z;„ = 4,/
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202 PNEUMATICS. (509) Substituting
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204 PNEUMATICS. (519) 8.47 = origin
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206 PNEUMATICS. (537) (a) 30 — 17
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208 PNE-aMATlCS. (548) CO' — 50'
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210 STRENGTH OF MATERIALS. P- p-^^.
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212 STRENGTH OF MATERIALS. Since 40
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214 STRENGTH OF MATERIALS. drawn. P
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21G STRENGTH OF MATERIALS. c \d of
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218 STRENGTH OF MATERIALS. n o. I//
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220 STRENGTH OF MATERIALS. Substitu
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222 STRENGTH OF MATERIALS. (589) Su
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224 STRENGTH OF MATERIALS. (597) {a
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226 STRENGTH OF MATERIALS. (d) In t
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228 STRENGTH OF MATERIALS. (604) Us
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230 STRENGTH OP MATERIALS. (609) Th
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232 STRENGTH OF MATERIALS. moments
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234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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