"Wentworth & Hill's Examination Manuals: Algebra, Τεύχος 2

Εξώφυλλο
Ginn, Heath & Company, 1884
 

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Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 20 - 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...
Σελίδα 60 - ... 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".
Σελίδα 64 - A and B set out to meet each other. A went 3 miles the first day, 5 the second, 7 the third, and so on. B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet?
Σελίδα 106 - 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...
Σελίδα 146 - ... 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...
Σελίδα 126 - A and В set out at the same time from the same spot to walk to a place 6 miles distant and back again. After walking for 2 hours, A meets В coming back. Supposing В to walk twice as fast as A, and each to maintain uniform speed throughout, find their respective rates of walking. II. HIGHER ALGEBBA.
Σελίδα 62 - 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. Find the value...
Σελίδα 42 - 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.
Σελίδα 85 - What are the numbers ? Ans. 90, 108, and 126. 6. A man speaking with his wife and son respecting their ages, said that his age added to that of his son was 12 years more than that of his wife ; the wife said that her...
Σελίδα 124 - 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.

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