Elements of Algebra

Ginn, Heath, 1883 - 350 σελίδες

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Σελίδα 289 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 152 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit c cents.
Σελίδα 454 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 138 - How far may he ride in a coach that travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Σελίδα 426 - Д. 16. The volume of a sphere varies as the cube of its diameter. Compare the volume of a sphere 6 inches In diameter with the sum of the volumes of three spheres whose diameters are 3, 4, 5 inches respectively.
Σελίδα 199 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Σελίδα 440 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200; and the sum of the squares of the means is 136. What are the numbers 1 Prob.
Σελίδα 150 - В contains 9 gallons of wine and 3 gallons of water; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water t 33.
Σελίδα 134 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Σελίδα 292 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines.