Porter's New System of Mathematics: With the Addition of a Complete Ready Reckoner : for the Use of Farmers and Mechanics

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John G. Wells, 1843 - Arithmetic - 72 pages
 

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Page 23 - CASE I. When it is required to find how many of the first sort of coin, weight or measure, mentioned in the question, are equal to a given quantity of the last.
Page 61 - THE SQUARE ROOT. The square of a number is the product arising from that number multiplied into itself. Extraction of the square root is the finding of such a number as being multiplied by itself will produce the number proposed. RULE. 1. Separate the given number into periods of two figures, each, beginning at the units place.
Page 20 - If a footman travel 240 miles in 12 days, when the days are 12 hours long ; how many days will he require to travel 720 miles, when the days are 16 hours long ? Ans.
Page 29 - ... what is the equated time for the payment of the whole? Ans. 137£f days. 7. A merchant has due him $1500 ; one-sixth is to be paid in 2 months ; one-third in 3 months ; and the rest in 6 months : what is the equated time for the payment of the whole ? Ans.
Page 21 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time will 24 men build one 200 feet long; 8 feet high, and 6 feet thick ? 8 : 12 : : 20x6x4 24 :. i 200x8x6 80 days, «1ns.
Page 21 - 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 14 - If 60 gallons of water, in one hour, fall into a cistern containing 300 gallons, and by a pipe in the cistern, 35 gallons run out in an hour ; in what time will it be filled ? Ans. in 12 hours. 29. A and B depart from the same place and travel the same road ; but A goes 5 days before B, at the rate...
Page 29 - ... rest in 8 months ; and it is agreed to make one payment of the whole : in what time ought that payment to be ? Ans.
Page 32 - Bought 90 gallons of wine at 1 dol! 20 cts. per gall. but by accident 10 gallons leaked out, at what rate must I sell the remainder per gallon to gain upon the whole prime cost; at the rate of 12i per cent.
Page 62 - Divide the given number into periods of three figures eacn, as in the common method, and find the nearest cube to the first period, subtract it therefrom, and put the root in the quotient ; then thrice the square of this root will be the trial divisor for finding the next figure.

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