Examples in Algebra for Senior Classes: Comprising Numerous Graduated Examples in Fractions, Surds Equations, Progressions, &c., with the Examination Papers for Civil Serive, Staff, and Artillery Appointments, College of Preceptors, London University, and Oxford and Cambridge Middle Class ExaminationsC.F. Hodgson, 1860 |
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Examples in Algebra, for Senior Classes: Comprising Numerous Examples in ... James Wharton Previsualització no disponible - 2017 |
Examples in Algebra for Senior Classes: Comprising Numerous Graduated ... James Wharton Previsualització no disponible - 2016 |
Examples in Algebra, for Senior Classes: Comprising Numerous Examples in ... James Wharton Previsualització no disponible - 2017 |
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a+b+c a²x a²x² annum arithmetic mean arithmetic series arithmetical progression bushels cask cent cistern coefficients common difference compound interest Continued fractions cost cube digits distance divided equal Find a number Find the number Find the square Find the sum Find the value following equations four numbers gallons geometric series geometrical progression guineas harmonic harmonic means harmonic series horse integer less miles an hour minutes multiplied nth term number of combinations number of permutations number of terms number of variations numbers in arithmetic oxen person proportion quantity quotient ratio remainder Required the number S₂ scale sheep shew shillings Show square number square root third three numbers travelled wheat whole number x²+1 x²y x²y² yards ах
Passatges populars
Pàgina 70 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished four times as many men as there were companies in the...
Pàgina 76 - There was a cask containing 20 gallons of brandy ; a certain quantity of this was drawn off into another cask of equal size, and this last filled with water, and afterwards the first cask was filled with the mixture. It now appears that if 6§ gallons of the mixture be drawn off from the first into the second cask, there will be equal quantities of brandy in each.
Pàgina 70 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Pàgina 78 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space. Required the circumference of each.
Pàgina 72 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left.
Pàgina 79 - The number of deaths in a besieged garrison amounted to 6 daily ; and allowing for this diminution, their stock of provisions was sufficient to last 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the...
Pàgina 62 - ... of their loads, which were in the ratio of 6 to 7, being taken out, their weights were then found to be in the ratio of 2 to 3, and the sum of their weights was then 10 tons; what were their weights at first? Ans. 16 and 20 tons.
Pàgina 69 - There is a field in the form of a rectangular parallelogram, whose length exceeds the breadth by 16 yards; and it contains 960 square yards. Required the length and breadth. Ans. 40, and 24 yards. 4. A person being asked his age, answered, If you add the .square root of it to half of it, and subtract 12, there will remain nothing.
Pàgina 86 - Find two numbers such that their sum shall be equal to the sum of their squares.
Pàgina 61 - There is a cistern, into which water is admitted by three cocks, two of which are of exactly the same dimensions. When they are all open, five-twelfths of the cistern is filled in 4 hours ; and if one of the equal cocks be stopped, seven-ninths of the cistern is filled in 10 hours and 40 minutes : in how many hours would each cock fill the cistern ? Ans. Each of the equal ones in 32 hours, and the other in 24.