Elementary Algebra |
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algebra angle arithmetic arithmetic mean arithmetical progression axis brackets calculate cent centimetres compound interest constant cost cubic curve cylinder depth derived function diameter difference differentiating distance Divide Draw the graph equal Example EXERCISE expression Factorise factors feet find the gradient Find the H. C. F. Find the number Find the sum Find the value formula fractions geometric mean geometrical progression given gives inches increases increment instant integers length maximum miles an hour miles per hour minutes monomial multiplying negative Paper pence quadratic equation radius ratio result shillings Show side Simplify solution Solve the equation Solve the following speed square root straight line subtracting Suppose tangent temperature tons varies directly volume weight yards
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Page 222 - If a number of two figures be divided by the sum of its digits, the quotient is 7 ; and...
Page 60 - A mule and a donkey were going to market laden with wheat. The mule said 'If you gave me one measure I should carry twice as much as you, but if I gave you one we should bear equal burdens.
Page 141 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Page 48 - Demochares has lived a fourth of his life as a boy ; a fifth as a youth ; a third as a man ; and has spent 13 yr. in his dotage: how old is he?
Page 162 - Two trains run, without stopping, over the same 36 miles of rail. One of them travels 15 miles an hour faster than the other and accomplishes the distance in 12 minutes less. Find the speeds of the two trains.
Page 175 - The head of a fish is 9 inches long ; the tail is as long as the head and half the body, and the body is as long as the head and tail both ; how long is the fish ? ANALYSIS.
Page ii - NEW YORK: GP PUTNAM'S SONS BOMBAY, CALCUTTA, MADRAS : MACMILLAN AND CO., LTD. TORONTO : JM DENT AND SONS, LTD. TOKYO: THE MARUZEN-KABUSHIKI-KAISHA [All rights reserved] SIX LECTURES ON POLITICAL PHILOSOPHY BY W.
Page 40 - ... divided by the same number without altering the value of the fraction.
Page 299 - It is found that the quantity of work done by a man in an hour varies directly as his pay per hour and inversely as the square root of the number of hours he works per day. He can finish a piece of work in six days when working 9 hours a day at Is.
Page 400 - On a certain steamer the cost of coal per mile is found to be directly proportional to the square of the speed .maintained, being 2s. 6d. per mile when the speed is 30 miles per hour; the other expenses being £1. 16s. Od. per hour at all speeds. Express in pounds the expense of a journey of 100 miles at x miles an hour.