Elements of Algebra |
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Page 70
... cents , and for each day that he was idle , he paid 12 cents for his board . At the end of the 48 days , the account was settled , when the labourer received 504 cents . Re- quired the number of working days , and the number of days he ...
... cents , and for each day that he was idle , he paid 12 cents for his board . At the end of the 48 days , the account was settled , when the labourer received 504 cents . Re- quired the number of working days , and the number of days he ...
Page 71
Verification . Thirty day's labor , at 24 cents a day , amounts to • • And 18 day's board , at 12 cents a day , amounts to . And • 30 × 24 720 cts . 18x12 = 216 cts . 720-216-504 , the amount received . This question may be made general ...
Verification . Thirty day's labor , at 24 cents a day , amounts to • • And 18 day's board , at 12 cents a day , amounts to . And • 30 × 24 720 cts . 18x12 = 216 cts . 720-216-504 , the amount received . This question may be made general ...
Page 75
... cents : how many days were they employed ? Ans . 9 days . 18. A capitalist receives a yearly income of $ 2940 : four - fifths of his money bears an interest of 4 per cent , and the remainder of 5 per cent : how much has he at interest ...
... cents : how many days were they employed ? Ans . 9 days . 18. A capitalist receives a yearly income of $ 2940 : four - fifths of his money bears an interest of 4 per cent , and the remainder of 5 per cent : how much has he at interest ...
Page 76
... cent greater than it was last . This year it is $ 1890 : what was it last year ? Ans . $ 1750 . 24. What number is that from which , if 5 be subtracted , of the remainder will be 40 ? Ans . 65 . 25. A post is in the mud , in the water ...
... cent greater than it was last . This year it is $ 1890 : what was it last year ? Ans . $ 1750 . 24. What number is that from which , if 5 be subtracted , of the remainder will be 40 ? Ans . 65 . 25. A post is in the mud , in the water ...
Page 78
... cents , and for each day that he was idle he was to pay 12 cents for his board . At the end of the 48 days , the account was settled , when the laborer received 504 cents . Required the number of working days and the number of days he ...
... cents , and for each day that he was idle he was to pay 12 cents for his board . At the end of the 48 days , the account was settled , when the laborer received 504 cents . Required the number of working days and the number of days he ...
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Common terms and phrases
affected algebraic quantities arithmetical arranged binomial cents co-efficient common factor consequently contain continued fraction contrary signs cube root decimal deduce denominator denote divide dividend division entire number enunciation equa equal equation becomes equation involving example exponent expression extract the square figure Find the greatest find the values formula fourth fraction given number gives greater greatest common divisor greyhound Hence inequality irreducible fraction last term leaps least common multiple less letters logarithm manner monomial multiplicand multiplied negative nth root number of terms obtain operations perfect square positive roots preceding problem proposed equation proposed polynomials quotient radical reduced remainder result satisfy second degree second member second term square root substituted subtract suppose take the equation taken tens third tion transformation transposing unity unknown quantity verified whence whole number
Popular passages
Page 115 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 148 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.
Page 174 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference.
Page 28 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 183 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 112 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 190 - That is, the last term of a geometrical progression is equal to the first term multiplied by the ratio raised to a power whose exponent is one less than the number of terms.
Page 228 - Divide the first term of the remainder by three times the square of the root already found, and write the quotient for the next term of the root.
Page 92 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Page 116 - ... brought down, there is no remainder, the proposed number is a perfect square. But if there is a remainder, you have only found the root of the greatest perfect square contained in the given number, or the entire part of the root sought. For example, if it were required to extract the square root of...