Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 páginas |
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Página 76
... piece of work in 12 days , and B can perform the same in 15 days . In what time could both together do the work ? Let x represent the number of days . Then since A could do of the work , and B of it , in 1 day , х will represent the ...
... piece of work in 12 days , and B can perform the same in 15 days . In what time could both together do the work ? Let x represent the number of days . Then since A could do of the work , and B of it , in 1 day , х will represent the ...
Página 77
... piece of work in 9 days , and A alone could do it in 15 days , in what time ought B alone to accomplish the work ? Ans . 22 days . 30. The hour and the minute hand of a clock or watch are exactly together at 12 o'clock ; when are they ...
... piece of work in 9 days , and A alone could do it in 15 days , in what time ought B alone to accomplish the work ? Ans . 22 days . 30. The hour and the minute hand of a clock or watch are exactly together at 12 o'clock ; when are they ...
Página 88
... piece of work in 8 days , A and C in 9 days , and B and C in 10 days . How many days would it take each person to perform the same work alone ? Let x , y , and z represent the number of days required for A , B , and C. respectively ; 1 ...
... piece of work in 8 days , A and C in 9 days , and B and C in 10 days . How many days would it take each person to perform the same work alone ? Let x , y , and z represent the number of days required for A , B , and C. respectively ; 1 ...
Página 90
... piece of work for 14 days , they called in C , by whose aid it was completed in 28 days . Had C worked with them from the beginning , the work would have been accomplished in 21 days . In how many days would C alone have accomplished ...
... piece of work for 14 days , they called in C , by whose aid it was completed in 28 days . Had C worked with them from the beginning , the work would have been accomplished in 21 days . In how many days would C alone have accomplished ...
Página 183
... piece of silk for £ 16 4s .; and the number of shillings that he paid per yard , was to the number of yards , as 4 to How many yards did he buy ? and what was the price per yard ? 9 . Let a represent the number of shillings he paid per ...
... piece of silk for £ 16 4s .; and the number of shillings that he paid per yard , was to the number of yards , as 4 to How many yards did he buy ? and what was the price per yard ? 9 . Let a represent the number of shillings he paid per ...
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Términos y frases comunes
acres added Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number yards
Pasajes populares
Página 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Página 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Página 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Página 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Página 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Página 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Página 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Página 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log