## The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful Parts of that Science, Illustrated by a Copious Collection of Examples, Designed for the Use of Schools |

### From inside the book

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**cents**, finds at the end of 420 days , that neither is indebted to the other ; how many days did he labour ? Ans ...**cents**per gallon , at 45**cents**, and at 35**cents**; the number of gallons at 65**cents**, to the number at 35**cents**... Page 88

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**cents**.. 3. A sum of money being divided among 6 poor per- sons , the second received 10d . , the third 14d . , the fourth 25d . , the fifth 28d . and the sixth 33d . less than the first . The whole sum divided , was 10d . more than ... Page 89

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**cents**; when the coins , being examined , were found worth only 11 dollars 68**cents**; what was the original value of each ? Ans . 93**cents**. 7. The hold of a ship , containing 442 gallons , is emptied in 12 minutes by two buckets ; the ... Page 156

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**cents**, and the five franc pieces 93**cents**? Ans . 833 crowns , 90 five franc pieces , and 9 different [ ways . 10. How many gallons of liquor at 12**cents**, 15**cents**, and 18**cents**per gallon , may be mixed , to compose 300 gallons at 17 ... Page 160

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**cents**, and for every day he was idle , he should forfeit 20**cents**, finds at the end of 500 days , only 89 dollars due ; how many days did he work ? Ans . 290 . 4. There are two numbers in the ratio of 4 to 5 , and the sum of their ...### Other editions - View all

A Treatise on Algebra, Containing the Most Useful Parts of That Science ... Enoch Lewis No preview available - 2016 |

The Practical Analyst, Or a Treatise on Algebra: Containing the Most Useful ... Enoch Lewis No preview available - 2017 |

### Common terms and phrases

3d power 4th power 4th root absolute number added Alexandrian school algebra arithmetical progression Assume bers binomial cents co-efficient compound quantity containing continued product cube root cubic equation denote diff digits Diophantus Divide divisor dollars equa equal EXAMPLES exponents expressed Extract the root find the value find x former four numbers fraction gallons geometrical progression given equation Hence impossible roots improper fraction indicated involution letters logarithm lues moidore Multiply number of terms numbers in geometrical obtained proportionals quadratic surd quan Quere the number quotient radical sign ratio compounded Reduce remainder Required the 4th required the numbers Required the square Required the sum Required the values Required to find Result root figure solution square root third three numbers tion tity transposition unknown quantity values of x vulgar fraction Whence whole number whole positive numbers

### Popular passages

Page ii - An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned." And also to the act, entitled " An Act supplementary to an Act, entitled, " An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the time therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and...

Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 93 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.

Page 70 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.

Page 84 - A laborer dug two trenches, one of which was 6 yards longer than the other, for 17 pounds, 16 shillings, and the digging of each of them cost as many shillings per yard as there were yards in its length. What was the length of each ? Ans. 10 and 16 yards.

Page 70 - 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 would it take each person to perform the same work alone ? Ans.

Page 32 - Arrange the terms according to the powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the polynomial.

Page 85 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.

Page 91 - There are three numbers, the difference of whose differences is 5; their sum is 44, and continued product 1950; find the numbers.

Page 89 - Ans. 15 and 9. 11. What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? Ans. 10 and 2.