Elements of Algebra: For the Use of Schools and Junior Classes in CollegesAdam and Charles Black, 1860 - 256 σελίδες |
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Σελίδα 12
... travelled ; and 30x the number B has travelled . But these two things are equal ; .. 20 ( x + 4 ) = 30x or 20x + 80 - 30x £ 10 , i . e . 10x and 80 are the same thing ; .. x = 8 , or B must travel 8 days . 3. A's money is five times B's ...
... travelled ; and 30x the number B has travelled . But these two things are equal ; .. 20 ( x + 4 ) = 30x or 20x + 80 - 30x £ 10 , i . e . 10x and 80 are the same thing ; .. x = 8 , or B must travel 8 days . 3. A's money is five times B's ...
Σελίδα 15
... travelled before B overtakes him ? 3. A's money is 3 times B's , and together they possess £ 100 . What does each possess ? 4. A's age is 5 times B's . Now , A is 44 years older than B. How old is each ? 5. A father is 40 years old ...
... travelled before B overtakes him ? 3. A's money is 3 times B's , and together they possess £ 100 . What does each possess ? 4. A's age is 5 times B's . Now , A is 44 years older than B. How old is each ? 5. A father is 40 years old ...
Σελίδα 138
... travelled over by both will be 17x miles : hence or 17x200 by the question ; 35x = 400 , X = 400 35 - 11 hours . and ... travelled before he is overtaken ; and x 4x - 3 2 is the number which the second travels ; is the space travelled ...
... travelled over by both will be 17x miles : hence or 17x200 by the question ; 35x = 400 , X = 400 35 - 11 hours . and ... travelled before he is overtaken ; and x 4x - 3 2 is the number which the second travels ; is the space travelled ...
Σελίδα 139
... travelled therefore = 7 hours , = 4x 30 miles . - 6. A person buys four houses : for the second he gives half as much again as for the first ; for the third half as much again as for the second ; and for the fourth as much as for the ...
... travelled therefore = 7 hours , = 4x 30 miles . - 6. A person buys four houses : for the second he gives half as much again as for the first ; for the third half as much again as for the second ; and for the fourth as much as for the ...
Σελίδα 175
... travelled three days B starts to meet him , and travels at half the rate of A. After B has travelled one day more than the number represented by one - third of the miles he travels per day ( A all the while travelling on ) , they meet ...
... travelled three days B starts to meet him , and travels at half the rate of A. After B has travelled one day more than the number represented by one - third of the miles he travels per day ( A all the while travelling on ) , they meet ...
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A's money a+b+c a²b² a²x a²x² algebraic arithmetic series arithmetical progression ax² bushel coefficient common difference contain cube root decimal denominator distance divided division divisor equal example expression factor Find the least Find the sum Find the value fraction gallons geometric geometric series geometrical progression greatest common measure hence increased infinity least common multiple least number less miles an hour Multiply Newmarket number of terms numerical quantity obtain operations person problem PROP quadratic QUADRATIC EQUATIONS question quotient remainder represent Required the number result second equation sheep shew side solution solved square root subtract suppose surd symbol third three times B's tion travelled unknown quantity whole number x³y xy³ yards دو وو
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Σελίδα 231 - But wheat rising 2s. per bushel, and work being scarce, the family find the sum saved would not buy as much wheat as their former savings by two bushels ; when it appears that at this rate the sum annually saved would be less by five guineas than by the former. Now the two youngest dying it is found that if the remaining members of the family saved each one shilling less than the oldest child had done before the rise of wheat, their monthly account with the bank would not be affected by the deaths...
Σελίδα 232 - But in 30 days the scurvy made its appearance, and carried off three men every day, and at the same time a storm arose, which protracted the voyage three weeks. They were however just enabled to arrive in port, without any diminution in each man's daily allowance of water. Required the time of the passage, and the number of men alive when the vessel reached harbour.
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Σελίδα 219 - ... pounds per chain, as there were chains in the street leading to A. The sewer however being insufficient to carry off the water, an additional drain was made from a point in this street, distant 4 chains from the bridge A, which entered the river at the same point with the sewer, and was equally inclined to the river and sewer. Now it was found that a drain down the middle of each street, at the rate of £9 per chain would have cost only £54 more than the expense of the sewer. Required the lengths...
Σελίδα 213 - ... way that he bought it, he privately clips off one twenty-fifth part, He may now legally sell it as a light guinea, and he finds that in consequence of the rise of pure gold in the ratio of 239 : 249 he just gains the clippings by his purchase. It is required to find the ratio of pure gold and alloy in the guinea, and also the relative value of equal quantities of pure gold and. alloy, it being known that the sum of the squares of the numbers •which express the two ratios, exceeds eleven times...