The Western Calculator, Or, A New and Compendious System of Practical Arithmetic: Containing the Elementary Principles and Rules of Calculation in Whole, Mixed, and Decimal Numbers ...

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Johnston & Stockton, 1839 - Arithmetic - 203 pages

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Page 61 - A and B depart from the same, place and travel the same road ; but A goes 5 days before B, at the rate of 15 miles a day . B follows at the rate of 20 miles a . day } what distance must he travel to overtake A ? Ans. 300 miles RULE OF THREE INVERSE.
Page 123 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 117 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator, then reduce the new fraction to its lowest term by Case I.
Page 158 - If the vessel be double-decked, take the length thereof from the fore part of the main stem, to the after part of the stern post, above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and then deduct from the...
Page 114 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator. This product becomes the numerator of the result and the denominator remains the same, eg, 2 (5x3) + 2 15 + 2 17 3" 3 3 " 3 To change an improper fraction to a mixed number, simply divide the numerator by the denominator.
Page 139 - ... number given be a surd, reduce the fractional part to a decimal, annex it to the whole number, and extract the root therefrom. EXAMPLES. 1. What is the cube root of 12^ ? Ans.
Page 67 - If a footman travel 130 miles in 3 days, when the days are 12 hours long ; in how many days, of 10 hours each, may he travel 360 miles ? Ans. 9|f days. 5. If 120 bushels of corn can serve 14 horses 56 days, how many days will 94 bushels serve 6 horses?
Page 141 - Jive following terms being given, the other two may be readily found. 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms. PROBLEM I. The first term, the last term, and the number of terms being given, to find the sum of all the terms.
Page 155 - There is a house with three tiers of windows, 3 in a tier, the height of the first tier is 7 feet 10 inches, of the second 6 feet 8 inches, and of the third 5 feet 4 inches, and the breadth of each is 3 feet 11 inches ; what will the glazing come to, at 14<L per foot?
Page 27 - MEASURE is used in measuring distances, i. e, where length is required without regard to breadth or thickness. TABLE. 3 Barleycorns (bc) make 1 Inch, in. 12 Inches

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