Essentials of Algebra for Secondary SchoolsD. C. Heath, 1897 - 411 σελίδες |
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Σελίδα 57
... miles an hour , respectively . After how many hours will they meet ? 31. Find three consecutive numbers whose sum is 108 . 32. In 7 years , A will be 3 times as old as B , and 8 years ago he was 6 times as old . What are their ages ...
... miles an hour , respectively . After how many hours will they meet ? 31. Find three consecutive numbers whose sum is 108 . 32. In 7 years , A will be 3 times as old as B , and 8 years ago he was 6 times as old . What are their ages ...
Σελίδα 130
... miles an hour , and B at the rate of 3 miles an hour . How far will each have travelled when they meet ? Let Then , 4x = the number of miles that A travels . 3x the number of miles that B travels . By the conditions , 4x + 3x = 63 . 7x ...
... miles an hour , and B at the rate of 3 miles an hour . How far will each have travelled when they meet ? Let Then , 4x = the number of miles that A travels . 3x the number of miles that B travels . By the conditions , 4x + 3x = 63 . 7x ...
Σελίδα 131
... miles in two hours slow train . Find the rate of each train . that of a slow train , less time than the 35. Two men ... hour , and B at the rate of 5 miles an hour . How far will each have travelled when they meet ? He 36. A grocer buys ...
... miles in two hours slow train . Find the rate of each train . that of a slow train , less time than the 35. Two men ... hour , and B at the rate of 5 miles an hour . How far will each have travelled when they meet ? He 36. A grocer buys ...
Σελίδα 132
... hour - hand is 15 minute - spaces in advance of the minute - hand at 3 o'clock , x 15-30 , or x 45 , will represent ... miles an hour , so as to return in time , walking back at the rate of 33 miles an hour ? 44. A , B , and C together ...
... hour - hand is 15 minute - spaces in advance of the minute - hand at 3 o'clock , x 15-30 , or x 45 , will represent ... miles an hour , so as to return in time , walking back at the rate of 33 miles an hour ? 44. A , B , and C together ...
Σελίδα 134
... miles an hour starts 54 minutes after a slow train , and overtakes it in 1 hour 48 minutes . What is the rate of the slow train ? 60. At what time between 10 and 11 is the minute - hand of a watch 25 minutes in advance of the hour ...
... miles an hour starts 54 minutes after a slow train , and overtakes it in 1 hour 48 minutes . What is the rate of the slow train ? 60. At what time between 10 and 11 is the minute - hand of a watch 25 minutes in advance of the hour ...
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9 x² a²b a²b² a³b ab² ab³ algebraic arithmetic means arithmetic progression ax² binomial Binomial Theorem cents change the sign coefficient cologarithm common factor cube root decimal degree denominator digits Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the number Find the value following rule formulæ geometric geometric progression greater Hence highest common factor last term less logarithm mantissa miles an hour monomial Multiplying negative number Note number of dollars number of terms partial fractions perfect square polynomial positive integer positive number proportion quadratic equation quotient radical sign ratio Reduce remainder result second term Solve the equation Solve the following square root Subtracting Transposing trial-divisor unknown quantities Whence x²y xy² xy³
Δημοφιλή αποσπάσματα
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 39 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
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...
Σελίδα 135 - A banker has two kinds of money ; it takes a pieces of the first to make a crown, and b of the second to make the same sum. Some one offers him a crown for c pieces. How many of each kind must the banker give him ? Ans.