Exercises in Algebra, Parts 1-2Ginn & Company, 1897 |
Contents
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Exercises in Algebra: Part I, Exercise Manual; Part II, Examination Manual ... G. A. Wentworth No preview available - 2017 |
Common terms and phrases
১১ a²+ab+b² a²b² a²x² a⁹ ab² ab³ ALGEBRA arithmetical progression ax² balls bx² cent coefficient compound interest cube decimal difference digits distance Divide equal Examination Expand Extract the square factors feet Find the H.C.F. Find the numbers Find the square Find the sum Find the value following expressions geometrical progression given greater less logarithms lowest terms miles an hour miles per hour minutes Multiply negative exponents number of terms partial fractions Prove quadratic equation quotient ratio Simplify Solve the equations square root subtracted three numbers travels walk x² y² x²y xy² α α
Popular passages
Page 50 - У x 3. Two vessels, one of which sails faster than the other by 2 miles an hour, start at the same time on voyages of 1152 and 720 miles, respectively. The slower vessel reaches its destination one day before the other. What is the rate per hour of the faster vessel? 4. There are five numbers in arithmetical progression. Their sum is to the sum of their squares as 9 : 89. The sum of the first four numbers is 32. Find the numbers. 5. Find the limit of the sum of 4 + 3 + £ + ..... 6.
Page 8 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 48 - ... 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".
Page 65 - Щ miles down a river and back again in 1 hour and 40 minutes : supposing the river to have a current of 2 miles per hour, find the rate at which the crew would row in still water.
Page 132 - ... slowly than himself. Find the distance of the town from the starting point, and the rate at which each man walks. 8. Three lamps of equal brilliancy are placed in three different corners of a square room. Compare the intensities of light at the fourth corner and at the centre of the room, assuming that the illumination from a source of light varies inversely as the square of its distance. 9. Show how to insert any number of harmonic means between two given quantities. If 2p and...
Page 94 - Find a fraction such that the denominator exceeds the square of half the numerator by unity, and the product of the sum and difference of the numerator and denominator is 64. 12. A vessel is half full of a mixture of wine and water. If filled up with water, the quantity of water bears to that of...
Page 56 - A man wishes to make up as many different parties as he can out of 20 friends, each party consisting of the same number. How many should he invite at a time, and how many parties will there be ? 3.
Page 110 - Prove that a ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same number to each of its terms.
Page 111 - Prove that the number of combinations of n things taken r together is equal to that of n things taken n — r together, and greater than that of и— 1 things taken r—l together.
Page 30 - The plate of a looking-glass is 18 inches by 12 inches, and it is to be framed with a frame of uniform width, whose area is to be equal to that of the glass. Find the width of the frame.