Manual of AlgebraBarnes, 1875 - 331 páginas |
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Página 98
... dollars : he gave for the harness one fourth as much as for the horse , and for the wagon as much as for the horse and harness together . What did he give for each ? Ans . $ 100 for the horse , $ 25 for the harness , and $ 125 for the ...
... dollars : he gave for the harness one fourth as much as for the horse , and for the wagon as much as for the horse and harness together . What did he give for each ? Ans . $ 100 for the horse , $ 25 for the harness , and $ 125 for the ...
Página 101
... dollars more than half of his income , had remaining 125 dollars more than a third of it . How much was his income ? Ans . $ 1050 . 31. In a naval action of a fleet was taken , of it sunk , and 2 ships burnt ; of the remainder were ...
... dollars more than half of his income , had remaining 125 dollars more than a third of it . How much was his income ? Ans . $ 1050 . 31. In a naval action of a fleet was taken , of it sunk , and 2 ships burnt ; of the remainder were ...
Página 102
... dollars left . How many dollars had he originally ? Ans . 2400 . 36. Divide the number 240 into two parts , so that 7 times the first shall equal 5 times the second . Ans . 100 , and 140 . 37. In a garrison of 2400 men , there are 3 ...
... dollars left . How many dollars had he originally ? Ans . 2400 . 36. Divide the number 240 into two parts , so that 7 times the first shall equal 5 times the second . Ans . 100 , and 140 . 37. In a garrison of 2400 men , there are 3 ...
Página 115
... dollars at interest , which yields him 1220 dollars annually ; a part bears interest at 5 per cent . , and the remainder at 6 per cent . How many dollars in each part ? Let x denote the number of dollars in the first part , and y the ...
... dollars at interest , which yields him 1220 dollars annually ; a part bears interest at 5 per cent . , and the remainder at 6 per cent . How many dollars in each part ? Let x denote the number of dollars in the first part , and y the ...
Página 116
... dollars , and of a second person 7 sheep and 13 lambs for 27 dollars , at the same rates . How many dollars did he give apiece ? Ans . $ 2 for sheep , and $ 1 for lambs . 14. Divide the number 1152 into three parts , such that 9 times ...
... dollars , and of a second person 7 sheep and 13 lambs for 27 dollars , at the same rates . How many dollars did he give apiece ? Ans . $ 2 for sheep , and $ 1 for lambs . 14. Divide the number 1152 into three parts , such that 9 times ...
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Términos y frases comunes
algebraic Arithmetic ax² binomial formula called clearing of fractions coefficients common difference contain contrary signs cube root Davies denominator denote the number distance dividend divisible equa equal roots equation whose roots EXAMPLES exponent expression extracting the square factors Find the cube Find the greatest Find the least Find the square Find the sum following principle following rule geometrical geometrical progression given equation greatest common divisor hence imaginary indicated irreducible fraction least common multiple logarithm Mathematics miles minuend monomial multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quan quotient radical sign ratio real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root Sturm's Theorem substituting subtract third tion tity transposing travels unknown quantity V₁ whole number
Pasajes populares
Página 145 - 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.
Página 239 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Página 267 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 245 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
Página 42 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Página 239 - In any proportion, the product of the means is equal to the product of the extremes.
Página 245 - That is, any term is equal to the first term, plus the product of the common difference by the number of preceding terms.
Página 41 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 264 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.