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Algebraical Exercises and Problems; With Elliptical Solutions

Algebraical Exercises and Problems; With Elliptical Solutions


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1870 Excerpt: ...portion of the work performed by both together in one day equals.... But, since they could together perform the whole work in 75 days, in one day they could do... of it. Therefore, an equation from which we get x =-fa. And since the first performs of the work, he is entitled to-jGy of the 251., that is, to 61.; and the remaining 191. is due to the other. Solution by Arithmetic. Since in 75 days they could together earn 25Z., in the... days during which they worked together they must have earned.... pounds. And, since the one who continued the work afterwards earned the remaining.... pounds in 50 days, it follows that in the whole 95 days daring which he worked he must have earned.... pounds, that is, 191. And his companion earned the remaining 61. 7.-days. a 8.-ofit. x 9. In one day he could do.... of it, and he could do ac the whole in-days. a--b XXXVIII. 1. x2+y2 + z shillings. 2. The x lbs. cost him altogether.... shillings, and the y lbs. cost him altogether.... shillings, so that the whole mixture must have cost him.... shillings. And since the whole mixture contained.... lbs., and was sold at' 6 shillings per lb., the whole must have been sold for.... shillings. The gain on the whole must therefore have been.... shillings, which = (x+y)(b--a) shillings. Each letter being understood to denote a positive quantity, if a is numerically greater than b this expression for the gain will be negative, which indicates that he lost (x + y)(a--b) shillings. 3. Let x denote the required number of gallons. Then, since the value of the x gallons of the first sort of wine is... shillings, and the value of the a--2 gallons of the other sort is.... shillings, the value of the mixture must be shillings. But we are told that the value of the mixture is to be shillings. T...


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Product Details
  • ISBN-13: 9781130810387
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130810380
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr


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