Elements of algebra1860 |
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Page 14
... minute - hand gain by 55 spaces in an hour , in how long does it gain by 5 ? and the answer is - in the eleventh part of an hour , or 51⁄2 minutes . ADDITIONAL EXAMPLES , ARITHMETICAL AND ALGEBRAIC . Ex . 1 . 1. Two trains start at the ...
... minute - hand gain by 55 spaces in an hour , in how long does it gain by 5 ? and the answer is - in the eleventh part of an hour , or 51⁄2 minutes . ADDITIONAL EXAMPLES , ARITHMETICAL AND ALGEBRAIC . Ex . 1 . 1. Two trains start at the ...
Page 15
... minutes , and emptied by the efflux pipe in 17 minutes . How long will it take to fill the cistern when both pipes are open to- gether ? 13. A person's expenses amount to of his income ; taxes amount to of his income ; and he saves ...
... minutes , and emptied by the efflux pipe in 17 minutes . How long will it take to fill the cistern when both pipes are open to- gether ? 13. A person's expenses amount to of his income ; taxes amount to of his income ; and he saves ...
Page 104
... minute ; by raising this result again to the millionth power , we have a quantity still more minute , and so on these quantities approach nearer and nearer to become 0 , but none of them ever does so , although they may approach it as ...
... minute ; by raising this result again to the millionth power , we have a quantity still more minute , and so on these quantities approach nearer and nearer to become 0 , but none of them ever does so , although they may approach it as ...
Page 144
... minute per day . When it indicates mid - day on Wednesday , what is the true time ? 4. Divide the number 111 into two such parts that the greater shall exceed the less by 13 . 5. Divide the number 48 into two such parts that one half ...
... minute per day . When it indicates mid - day on Wednesday , what is the true time ? 4. Divide the number 111 into two such parts that the greater shall exceed the less by 13 . 5. Divide the number 48 into two such parts that one half ...
Page 152
... minutes more . If the second had been set agoing for 20 minutes instead of the first , the two would have completed the filling in 20 minutes more instead of 25. Required the number of gallons which each supplies per minute . 19. A ...
... minutes more . If the second had been set agoing for 20 minutes instead of the first , the two would have completed the filling in 20 minutes more instead of 25. Required the number of gallons which each supplies per minute . 19. A ...
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2ab+ 2ab+b² A's money a²b² a²x² algebraic arithmetic series arithmetical arithmetical progression ax² bushel coefficient common difference contain cube root decimal denominator divided division divisor equal example expression Extract the square Find the least Find the square Find the sum find the value gallons geometric geometric series geometrical progression greatest common measure hence increased infinity least common multiple less miles an hour Multiply Newmarket number of terms number or fraction numerical quantity obtain operations PROP proposition quadratic QUADRATIC EQUATIONS quotient ratio remainder represent Required the number result second equation Shew side solution solved square root subtract suppose surd symbol tion travelled true University of Edinburgh unknown quantity whole number x³y yards دو
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Page 231 - But wheat rising 2s. per bushel, and work being scarce, the family find the sum saved would not buy as much wheat as their former savings by two bushels ; when it appears that at this rate the sum annually saved would be less by five guineas than by the former. Now the two youngest dying it is found that if the remaining members of the family saved each one shilling less than the oldest child had done before the rise of wheat, their monthly account with the bank would not be affected by the deaths...
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Page 219 - ... pounds per chain, as there were chains in the street leading to A. The sewer however being insufficient to carry off the water, an additional drain was made from a point in this street, distant 4 chains from the bridge A, which entered the river at the same point with the sewer, and was equally inclined to the river and sewer. Now it was found that a drain down the middle of each street, at the rate of £9 per chain would have cost only £54 more than the expense of the sewer. Required the lengths...
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Page 213 - ... way that he bought it, he privately clips off one twenty-fifth part, He may now legally sell it as a light guinea, and he finds that in consequence of the rise of pure gold in the ratio of 239 : 249 he just gains the clippings by his purchase. It is required to find the ratio of pure gold and alloy in the guinea, and also the relative value of equal quantities of pure gold and. alloy, it being known that the sum of the squares of the numbers •which express the two ratios, exceeds eleven times...