Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions: Designed as an Introduction to the Higher Branches of AnalyticsDeighton & Sons, 1824 - 383 σελίδες |
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Σελίδα 268
... Progressions . 1. A PERSON bought 7 books , the particular prices of which ( in shillings ) were in arithmetical progression . The price of the next above the cheapest was 8 shillings , and the price of the dearest 23 shillings . What ...
... Progressions . 1. A PERSON bought 7 books , the particular prices of which ( in shillings ) were in arithmetical progression . The price of the next above the cheapest was 8 shillings , and the price of the dearest 23 shillings . What ...
Σελίδα 269
... progression . But C dying before the money was paid , the whole fell to A and B ; and C's share was raised between them in the proportion of 3 : 2 , when it ap- peared that the whole sum subscribed by A was to the whole sum subscribed ...
... progression . But C dying before the money was paid , the whole fell to A and B ; and C's share was raised between them in the proportion of 3 : 2 , when it ap- peared that the whole sum subscribed by A was to the whole sum subscribed ...
Σελίδα 270
... progression . The sum of their squares is equal to 276 , and the sum of the numbers themselves is equal to 32. What are the numbers ? Let 2y the common difference , and x + 3y x + y be the numbers ; x - y x - 3y then their sum = 4 x ...
... progression . The sum of their squares is equal to 276 , and the sum of the numbers themselves is equal to 32. What are the numbers ? Let 2y the common difference , and x + 3y x + y be the numbers ; x - y x - 3y then their sum = 4 x ...
Σελίδα 271
... progression is squares of the means is 136 . 200 , and the sum of the What are the numbers ? Supposing as before , x + 3y , x + y , x - y , and x - 3y , to be the numbers ... progression is in Arithmetical and Geometrical Progressions . 271.
... progression is squares of the means is 136 . 200 , and the sum of the What are the numbers ? Supposing as before , x + 3y , x + y , x - y , and x - 3y , to be the numbers ... progression is in Arithmetical and Geometrical Progressions . 271.
Σελίδα 272
... progression is equal to the common ratio + 1 ; and the first term Required the numbers . Let the common ratio ; 1 -- 17 1 .. the numbers are 17 17 17 ' 17 and 1 + 1 = 1 + x + x2 + r3 ( 1 + x2 ) . ( 1 + x ) 17 17 1 + r2 and 1 = 17 .. 17 ...
... progression is equal to the common ratio + 1 ; and the first term Required the numbers . Let the common ratio ; 1 -- 17 1 .. the numbers are 17 17 17 ' 17 and 1 + 1 = 1 + x + x2 + r3 ( 1 + x2 ) . ( 1 + x ) 17 17 1 + r2 and 1 = 17 .. 17 ...
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Algebraical Problems, Producing Simple and Quadratic Equations, With Their ... Miles Bland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A's money a²x² addition answer the conditions arithmetical progression brandy casks completing the square contained cost cube difference digits distance Divide the number equal quantities equation involving equation of fractions extracting the root extracting the square find the values gain gallons of brandy geometrical progression Given 3x Given x+y guineas least common multiple length less Let 2x Let the number multiplying every term number of acres number of days number of gallons number of miles number of pounds number of shillings number of yards paid pence pieces problem proportion quantity of brandy quotient received Required the number second equation sheep sherry sold square root squaring both sides Substituting this value subtraction third three numbers transposition travelled turkeys unknown quantity values of x wheat whence whole number wine xy²
Δημοφιλή αποσπάσματα
Σελίδα 18 - In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve.
Σελίδα 354 - Each man received one third as many shillings as there were persons relieved ; and each woman received twice as many shillings as there were women more than men. The men received all together 18s.
Σελίδα 360 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 354 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished four times as many men as there were companies in the...
Σελίδα 358 - Is. ; for each of which I paid as many shillings per yard as there were yards in its side. Now had each of them cost as many shillings per yard as there were yards in a side of the other, I should have paid 17s.
Σελίδα 374 - A traveller set out from a certain place, and went 1 mile the first day, 3 the second, 5 the next, and so on, going every day 2 miles more than he had gone the preceding day. After he had been gone three days, a second sets out, and travels 12 miles the first day, 13 the second, and so on. In how many days will the second overtake the first?
Σελίδα 373 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 141 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 223 - A person bought some sheep for £. 72 ; and found that if he had bought 6 more for the same money, he would have paid £. 1 less for each. How many did he buy...