An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα 26
... larger as in the smaller . How many gallons were there in each at first ? Let x denote the number of gallons in the less at first . Then the number of gallons in the greater will be 3 x . Taking 4 gallons from each , the less will be 26 ...
... larger as in the smaller . How many gallons were there in each at first ? Let x denote the number of gallons in the less at first . Then the number of gallons in the greater will be 3 x . Taking 4 gallons from each , the less will be 26 ...
Σελίδα 49
... x = the number in the less . Then 2x the number of lambs . 3x the number in the larger . 4x the number in both , & c . Ans . 27 in the less and 81 in the greater . 30. When the price of a bushel of barley wanted 5 VII . 49 Equations .
... x = the number in the less . Then 2x the number of lambs . 3x the number in the larger . 4x the number in both , & c . Ans . 27 in the less and 81 in the greater . 30. When the price of a bushel of barley wanted 5 VII . 49 Equations .
Σελίδα 61
... larger 68 galls . 23. A farmer , after selling 13 sheep and 5 cows , found that the number of sheep he had remaining , was to that of his cows in the proportion of 4 to 3. After three years he found that he had 57 more sheep , and 10 ...
... larger 68 galls . 23. A farmer , after selling 13 sheep and 5 cows , found that the number of sheep he had remaining , was to that of his cows in the proportion of 4 to 3. After three years he found that he had 57 more sheep , and 10 ...
Σελίδα 62
... larger at 10s . The whole was worth $ 112 . When he had drawn 18 gals . from each , he mixed the remainder together and added 3 gals . of water , and the mixture was worth 8s . per gal . many gallons of each sort were there at first ...
... larger at 10s . The whole was worth $ 112 . When he had drawn 18 gals . from each , he mixed the remainder together and added 3 gals . of water , and the mixture was worth 8s . per gal . many gallons of each sort were there at first ...
Σελίδα 67
... larger . Let Then And x = the less part . x + b = the greater part . x + x + b = a By transposition , Dividing by 2 , 2x + b = a 2x = a b α b α- b X = = 2 2 : * Whenever the learner finds any difficulty in comprehending the operations ...
... larger . Let Then And x = the less part . x + b = the greater part . x + x + b = a By transposition , Dividing by 2 , 2x + b = a 2x = a b α b α- b X = = 2 2 : * Whenever the learner finds any difficulty in comprehending the operations ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power a b c A's share added algebraic quantities answer the conditions apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor find the root formula fourth fraction gallons gives greater Hence horse less Let the learner letter logarithm miles multi multiplicand multiplied negative quantity number of dollars number of terms observe pears question quotient received remainder required to find right hand figure rule second power second root second term shillings sold subtracted Suppose tens third power third root third term twice units unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 129 - 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 317 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα ii - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 116 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 364 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Σελίδα 38 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 363 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.
Σελίδα 312 - London to go round the •world, (23661 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.
Σελίδα 368 - ... and dollars diminished by 2, is half the number of coins. What is the number of coins of each sort ? 40. Suppose a man owes $1000, what sum shall he pay daily so as to cancel the debt, principal and interest, at the end of a year, reckoning it at 6 per cent. simple interest ? 41. A merchant bought two pieces of linen cloth, containing together 120 yards. He sold each piece for as many cents per yard as it contained yards, and found that one brought him in only A as much as the other.