Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Μέρος 1Sargent, Wilson & Hinkle, 1848 - 240 σελίδες |
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Σελίδα 4
... greater part of Chapter II . Supplement to Equations of the First Degree , Articles 164-177 . Properties of the Roots of an Equation of the Second Degree , Articles 215-217 . In reviewing the book , the pupil should demonstrate the ...
... greater part of Chapter II . Supplement to Equations of the First Degree , Articles 164-177 . Properties of the Roots of an Equation of the Second Degree , Articles 215-217 . In reviewing the book , the pupil should demonstrate the ...
Σελίδα 14
... greater is equal to eight times the less ; what are the numbers ? 7. Daniel has four times as many cents as William , and Joseph has twice as many as both of them ; but if twice the number of Daniel's cents be taken from Joseph's , the ...
... greater is equal to eight times the less ; what are the numbers ? 7. Daniel has four times as many cents as William , and Joseph has twice as many as both of them ; but if twice the number of Daniel's cents be taken from Joseph's , the ...
Σελίδα 16
... greater part shall be 5 more than twice the less part . 10. The sum of two numbers is 23 , and the greater is equal to three times the less , and 3 more ; what are the numbers ? 11. Two numbers added together make 40 ; the greater is 5 ...
... greater part shall be 5 more than twice the less part . 10. The sum of two numbers is 23 , and the greater is equal to three times the less , and 3 more ; what are the numbers ? 11. Two numbers added together make 40 ; the greater is 5 ...
Σελίδα 19
... greater ; what are the numbers ? 13. William and Daniel together have 20 cents , and Daniel has twice as many as William , wanting 1 cent ; how many cents has each ? 14. The sum of two numbers is 24 , and the larger is twice the smaller ...
... greater ; what are the numbers ? 13. William and Daniel together have 20 cents , and Daniel has twice as many as William , wanting 1 cent ; how many cents has each ? 14. The sum of two numbers is 24 , and the larger is twice the smaller ...
Σελίδα 20
... greater is 5 times the smaller ; what are the numbers ? 9. The age of Eliza exceeds that of Jane 16 years , while the age of the former is five times that of the latter ; what are their ages ? 10. James bought a book and a toy ; the ...
... greater is 5 times the smaller ; what are the numbers ? 9. The age of Eliza exceeds that of Jane 16 years , while the age of the former is five times that of the latter ; what are their ages ? 10. James bought a book and a toy ; the ...
Άλλες εκδόσεις - Προβολή όλων
Ray's Algebra, Part First: On the Analytic and Inductive Methods of ... Joseph Ray Πλήρης προβολή - 1848 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic quantities apples arithmetical progression arithmetical series binomial bought bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter manner method minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Ray's Reduce remainder represent the number required the numbers required to find result rule second degree sheep solution square root subtracted theorem three numbers tion tities transposing twice unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 178 - 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.
Σελίδα 61 - 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.
Σελίδα 232 - Ratio is the quotient which arises from dividing one quantity by another of the same kind. Thus, the ratio of 2 to 6 is 3; the ratio of a to ma is m. REMARKS. — 1st In comparing two numbers or quantities by their quotient, the number expressing the ratio which the first bears to the second, will depend on which is made the standard of comparison.
Σελίδα 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 106 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Σελίδα 81 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and lOxy is the least common multiple of 2x and by. NOTE. — LCM stands for least common multiple.
Σελίδα 203 - The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Σελίδα 235 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 217 - If, then, any problem furnishes an equation in which the known term is negative, and greater than the square of half the coefficient of the first power of the unknown quantity, we infer, that the conditions of the problem are incompatible with each other.
Σελίδα 149 - How much has each ? Ans. A $980, B $1540, and C $2380. 11. A certain number is expressed by three figures, and the sum of the figures is 1 1 ; the figure in the place of units, is double that in the place of hundreds ; and if 297 be added to the number, its figures will be inverted ; required the number. Ans. 326.