Essentials of Algebra for Secondary SchoolsD.C. Heath & Company, 1897 - 411 σελίδες |
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Σελίδα 131
... train is that of a slow train , and it covers 180 miles in two hours ' less time , than the slow train . Find the rate of each train . 35. Two men , A and B , 57 miles apart , set out , B 20 minutes after A , and travel towards each ...
... train is that of a slow train , and it covers 180 miles in two hours ' less time , than the slow train . Find the rate of each train . 35. Two men , A and B , 57 miles apart , set out , B 20 minutes after A , and travel towards each ...
Σελίδα 134
... train whose rate is 36 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 ...
... train whose rate is 36 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 ...
Σελίδα 159
... train is five - thirds that of a slow train , and it travels 36 miles in 32 minutes less time than the slow train . Find the rate of each in miles an hour . 37. Divide $ 396 between A , B , C , and D so that A may receive one - half the ...
... train is five - thirds that of a slow train , and it travels 36 miles in 32 minutes less time than the slow train . Find the rate of each in miles an hour . 37. Divide $ 396 between A , B , C , and D so that A may receive one - half the ...
Σελίδα 161
... train would have been only 1 hour late . Find the rate of the train before the accident , and the distance to B from the point of detention . Let 3x the number of miles an hour of the train before the = accident . the number of miles an ...
... train would have been only 1 hour late . Find the rate of the train before the accident , and the distance to B from the point of detention . Let 3x the number of miles an hour of the train before the = accident . the number of miles an ...
Σελίδα 162
... train before the accident was 30 miles an hour . + 4 , or x Substituting in ( 1 ) , y y y + 5 , or = 5 . 10 30 15 Whence , y = 75 . 50. A train running from A to B meets with an accident which delays it 45 minutes ; it then proceeds at ...
... train before the accident was 30 miles an hour . + 4 , or x Substituting in ( 1 ) , y y y + 5 , or = 5 . 10 30 15 Whence , y = 75 . 50. A train running from A to B meets with an accident which delays it 45 minutes ; it then proceeds at ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²b² a²x² a³b ab² ab³ Algebra arithmetic means arithmetic progression ax² binomial cent change the sign coefficient cologarithm common factor cube root decimal degree denominator digits dimes Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the number Find the value following rule geometric geometric progression Hence highest common factor last term less logarithm m²n mantissa miles an hour monomial Multiplying negative number Note number of dollars number of terms partial fractions polynomial positive integer positive number quadratic equation quotient radical sign ratio 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 276 - 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 55 - ... the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Σελίδα 128 - 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 37 - 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 277 - 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: 6 = c: d = e :/. Then, by Art.
Σελίδα 133 - 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 18 - From §§36 and 37, we have the following rule: To subtract one number from another, change the sign of the subtrahend, and add the result to the minuend.
Σελίδα 275 - 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 = ос.
Σελίδα 136 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown quantities in the resulting equations of equal absolute value.
Σελίδα 45 - A term may be transposed from one member of an equation to the other by changing its sign.