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according Adding Algebra amount arithmetic arranged called cents coefficient common factor complete containing corresponding cube root decimal denominator derive difference digits Divide dividend division divisor equal EXAMPLES Expand exponent expression Extracting the square factor figures Find Find the number Find the value following rule formula fourth fraction given gives greater Hence increased indicated laws less letter logarithm lowest means method miles an hour Multiplying negative Note obtained perfect piece polynomial positive positive integer problem progression proportion prove quadratic quotient ratio receive Reduce remainder represent respectively result satisfied second term Simplify solution Solve the equation square root Substituting Subtracting term third Transposing travels twice units unknown quantities varies Whence write written
Σελίδα 278 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 130 - At -what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Σελίδα 276 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 57 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 135 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Σελίδα 279 - In a series of equal ratios, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a:b = c:d = e:f.
Σελίδα 277 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bc.
Σελίδα 129 - Find the fraction. 30. The second digit of a number exceeds the first by 4 ; and if the number, increased by 39, be divided by the sum of its digits, the quotient is 7. Find the number. 31. I paid a certain sum for a horse, and seven-tenths as much for a carriage. If the horse had cost...