High School Algebra: Elementary Course

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Allyn and Bacon, 1907 - Algebra - 297 pages
 

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Page 294 - A and B working together can do a piece of work in 12 days.
Page 88 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 206 - If squares are constructed on the two sides, and also on the hypotenuse of a right-angled triangle, then the sum of the squares on the sides is equal to the square on the hypotenuse.
Page 279 - In any proportion, the product of the means equals the product of the extremes.
Page 293 - A can do a piece of work in 12 days and B can do it in 9 days. How long will it take both working together to do it ? 22.
Page 280 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 291 - If a cistern can be filled by one pipe in x minutes and emptied by another in x+5 minutes, what part of the cisternful runs in one minute if both pipes are open? 75 Find two numbers whose sum is 51, such that if the greater is divided by their difference, the quotient is 3 1/2.
Page 219 - Divide the first term of this remainder by the first term of the divisor, obtaining the second term of the quotient. Multiply the divisor by the second term of the quotient and subtract, obtaining a second remainder. 5. Continue in this manner until...
Page 293 - A can do a piece of work in 8 days, -B can do it in 10 days. In how many days can they do it...
Page 74 - ... expression composed of parts connected by the signs + and — is called a polynomial. Each of the parts thus connected, together with the sign preceding it, is called a term.

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