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added addition algebraic arithmetical arranged binomial called cents changed CHAPTER coefficient column common factor complete contain cost count cube denominator denotes determinant difference digits Divide division divisor dollars equal equation example Exercise exponent expression Extract feet figures Find Find the number five four fourth fraction given gives greater groups half Hence hour increased indicated integral interest less letters limit logarithm means method miles minutes Multiply negative NOTE obtained positive pounds problem quadratic quotient ratio Reduce relation remainder represent Resolve into factors respectively result rule selected side simple Simplify Solve square root stands Substitute Subtract surd taken term things third train twice units unknown number write written yards
Side 303 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Side 139 - A cask contains 12 gallons of wine and 18 gallons of water ; another cask contains 9 gallons of wine and 3 gallons of water. How many gallons must be drawn from each cask to produce a mixture containing 7 gallons of wine and 7 gallons of water?
Side 253 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, dividing by bd, or / (л- с'- v / 316.
Side 159 - The sum of the two digits of a number is 6, and if the number is divided by the sum of the digits the quotient is 4. What is the number ? 19.
Side 459 - Form all the possible products of n elements each that can be formed by taking one, and only one, element from each row, and one, and only one, element from each column ; prefix to each of the products thus formed either...
Side 274 - 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 ? 24.
Side 278 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 15.
Side 416 - The coefficient pt of the fourth term with its sign changed is equal to the sum of the products of the roots taken three...