Exercise Book in Algebra: A Revision of McCurdy's Exercise Book in Algebra

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D.C. Heath Company, 1922 - Algebra - 180 pages
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Page 142 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 127 - The sum of two numbers is 8, and the sum of their cubes is 152. What are the numbers ? Ans.
Page 68 - C. How much had each at first ? 3. There is a number consisting of three digits. The sum of the first and second digits exceeds the third by 4. The sum of the three digits is 10 ; and, when the order of the digits is inverted, the original number is increased by 99. Find the number.
Page 142 - If the illumination from a source of light varies inversely as the square of the distance, how much farther from a candle must a book, which is now 15 inches off, be removed, so as to receive just one-third as much light ? 20.
Page 152 - Twelve potatoes are placed in line at distances 6, 12, 18 ... feet from a basket. A boy starting from the basket picks up the potatoes and carries them one at a time to the basket. How far must he run to complete the potato race?
Page 69 - С ? 13. $1000 is divided among A, B, C, and D. B gets half as much as A ; the excess of C's share over D's share is equal to one-third of A's share, and if B's share were increased by $100 he would have as much as С and D have between them.
Page 161 - The illumination from a source of light is inversely proportional to the square of the distance from the source. If my book is 8 feet from the lamp, how near must I move it in order that the light on it shall be doubled?
Page 71 - A clerk earned $/504 in a certain number of months. His salary was increased 25 %, and he then earned $450 in two months less time than it had previously taken him to earn. $504. What was his original salary per month? (College Entrance Board.) 5. A person who possesses $15,000 employs a part of the money in building a house. He invests one third of the money which remains at 6 %, and the other two thirds at 9 %, and from these investments he obtains an annual income of $500. What was the cost of...
Page 142 - ... 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 127 - The fore wheel of a carriage makes 88 more revolutions than the hind wheel in going a mile ; but, if the circumference of each wheel is decreased two feet, the fore wheel will make 132 more revolutions than the hind wheel in going the same distance. What is the circumference of each wheel ? 8.

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