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added Algebra ANSWERS applying arithmetical arrangement assumed base become binomial called changed coefficient complete compound consisting contained continual cube denote determine difference Divide dividend division divisor equal equation EXAMPLES EXAMPLES FOR PRACTICE expressed Extract factors figures find the value follows four fourth fraction Given Given Equations gives greater greatest common measure Hence highest indicates integral known least common multiple less letters logarithms manner means method miles multiplied nature negative obtained odd number operations plain positive prime problem proportion quadratic question quotient Raise ratio Reduce remainder represent respect result RULE sides simple solved square root substitution subtracted surds symbols taken third tion transposing units unknown quantities whence whole
Σελίδα 249 - London, in order to distinguish his own from any he might meet on the road, pulled three feathers out of the tail of each turkey, and one out of the tail of each goose ; and, upon counting them, found that the number of turkey's feathers exceeded twice those of the geese by 15.
Σελίδα 242 - A vintner sold 7 dozen of sherry and 12 dozen of claret for £50, and finds that he has sold 3 dozen more of sherry for £10 than he has of claret for £6. Required the price of each.
Σελίδα 256 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 256 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Σελίδα 294 - To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment.
Σελίδα 249 - ... feathers exceeded twice those of the geese by 15. Having bought 10 geese and sold 15 turkeys by the way, he was surprised to find, as he drove them into the poulterer's yard, that the number of geese exceeded the number of turkeys in the proportion of 7 to 3.
Σελίδα 246 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.
Σελίδα 250 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately 1 Ans.