An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 50
... miles every 5 hours , is sent from a certain place ; when he was gone 8 hours , another was sent after him at the rate of 223 miles every 3 hours . How soon will the second overtake the first ? Solution . If x = the required number of ...
... miles every 5 hours , is sent from a certain place ; when he was gone 8 hours , another was sent after him at the rate of 223 miles every 3 hours . How soon will the second overtake the first ? Solution . If x = the required number of ...
Página 51
... miles a day . Another has just started , in pursuit of him , at the rate of b miles a day . In how many days will the second courier overtake the first ? Ans . If x = the required number of days , the required equation is b x = a ( x + ...
... miles a day . Another has just started , in pursuit of him , at the rate of b miles a day . In how many days will the second courier overtake the first ? Ans . If x = the required number of days , the required equation is b x = a ( x + ...
Página 52
... miles daily . Another corps wishes to march in pursuit of it from the same place , and so quickly that it may reach the other in 6 days . How many miles must it march daily to accomplish it ? Ans . If x the required number of miles ...
... miles daily . Another corps wishes to march in pursuit of it from the same place , and so quickly that it may reach the other in 6 days . How many miles must it march daily to accomplish it ? Ans . If x the required number of miles ...
Página 57
... miles more than B ; and , according to the rate at which they are travelling , A calculates that he can reach the place D in 4 days , and that B can arrive at the place C in 9 days . What is the distance between Cand D ? Ans . If , when ...
... miles more than B ; and , according to the rate at which they are travelling , A calculates that he can reach the place D in 4 days , and that B can arrive at the place C in 9 days . What is the distance between Cand D ? Ans . If , when ...
Página 68
... miles did he travel in each of these three ways ? Ans . 240 miles on horseback , 840 miles by water , and 1960 miles on foot . 15. Divide the number a into three such parts , that the second may be m times , and the third n times as ...
... miles did he travel in each of these three ways ? Ans . 240 miles on horseback , 840 miles by water , and 1960 miles on foot . 15. Divide the number a into three such parts , that the second may be m times , and the third n times as ...
Outras edições - Ver tudo
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1860 |
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1858 |
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1837 |
Palavras e frases frequentes
2d Rem 3d root 4th root 94 become zero approximate values arithmetical progression binomial theorem coefficient commensurable roots contains the highest continued fraction continued product Corollary courier deficient terms denote dividend equal roots equal to zero factor Find the 3d Find the 4th Find the continued Find the greatest Find the square Find the sum Free the equation gallons Geometrical Progression given equation given number gives greatest common divisor Hence highest power integer last term least common multiple letter logarithm monomials number of terms obtained places of decimals polynomial Problem proportion quantities in example quotient radical quantities ratio real root reduced remainder required equation required root Scholium second term Solution Solve the equation square root substitution subtracted tained term multiplied tity unity unknown quan unknown quantity whence wine
Passagens conhecidas
Página 262 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 149 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Página 203 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Página 99 - 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.