Elementary Algebra for the Use of Preparatory Schools |
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Page 6
... , and by the second condition of the problem , 3x x 92 . = But three times any number less the number itself is obviously twice the number . Hence and 2 x = 92 , x = 46 . Ex . 5. A , B , and C together 6 INTRODUCTORY LESSONS .
... , and by the second condition of the problem , 3x x 92 . = But three times any number less the number itself is obviously twice the number . Hence and 2 x = 92 , x = 46 . Ex . 5. A , B , and C together 6 INTRODUCTORY LESSONS .
Page 7
... less than C. How much has each ? Let x represent B's share ; then 2x is A's share , and x + 5 is C's share , and the algebraic statement of the problem is , x + 2 x + x + 5 = 75 . From this equation are obtained , by the processes ...
... less than C. How much has each ? Let x represent B's share ; then 2x is A's share , and x + 5 is C's share , and the algebraic statement of the problem is , x + 2 x + x + 5 = 75 . From this equation are obtained , by the processes ...
Page 12
... less seven hundredths of x is ninety - three hundredths of x ; therefore 93 x x = 6045 , 100 and x = 100 × 6045 93 - 6500 . Ex . 3. The amount due on a note for $ 800 at 5 % simple in- terest was $ 900 . For what length of time was ...
... less seven hundredths of x is ninety - three hundredths of x ; therefore 93 x x = 6045 , 100 and x = 100 × 6045 93 - 6500 . Ex . 3. The amount due on a note for $ 800 at 5 % simple in- terest was $ 900 . For what length of time was ...
Page 16
... less than a . ― 7. The foregoing problems have brought to view some of the purposes of algebra and have shown how , by its larger methods , some of the inconvenient limitations to which arithmetic is necessarily subject may be removed ...
... less than a . ― 7. The foregoing problems have brought to view some of the purposes of algebra and have shown how , by its larger methods , some of the inconvenient limitations to which arithmetic is necessarily subject may be removed ...
Page 23
... less than that which follows it . Thus ab means that a is less than b . The meaning of the sign is explained in Art . 90 . SYMBOLS OF ABBREVIATION . 22 .. The sign is written . for the word because or since . The sign is written for the ...
... less than that which follows it . Thus ab means that a is less than b . The meaning of the sign is explained in Art . 90 . SYMBOLS OF ABBREVIATION . 22 .. The sign is written . for the word because or since . The sign is written for the ...
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Common terms and phrases
7th term a²b a²b² a²x a²x² a³b ab² ab³ absolutely convergent algebraical expression arithmetic means ax² b₁ binomial theorem cents CHAPTER coefficients contain continued fraction convergent denote determinant difference digits Divide dividend division divisor equal equation x² example Find the factors Find the H. C. F. Find the number Find the square Find the sum Find the value finite formula geometrical progression given expression greater Hence indeterminate forms integer less letters limit logarithms monomial Multiply negative nth root number of terms obtain permutations positive integer powers Prove quadratic equation quotient remainder result Show Simplify simultaneous equations Solve the equation square root subtract surds unknown quantities x²y x²y² xy² xy³ zero
Popular passages
Page 46 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 362 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 349 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 77 - 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.
Page 362 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".