An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 19
... Suppose B paid x dollars ; A was to pay 13 dollars more ; therefore he paid x + 13 . These put together must make the whole 55 dollars . x + x + 13 = 55 Putting the x's together , 2x + 1355 It appears that 2 x is not so much as 55 by 13 ...
... Suppose B paid x dollars ; A was to pay 13 dollars more ; therefore he paid x + 13 . These put together must make the whole 55 dollars . x + x + 13 = 55 Putting the x's together , 2x + 1355 It appears that 2 x is not so much as 55 by 13 ...
Σελίδα 31
... Suppose the age of the elder x . Then the younger will be In 20 years the +20 . 3 x 4 • age of the elder will be x + 20 , and of the 3x younger 4 By the conditions 4 x + 80 5 = Multiplying by 5 , Multiplying by 4 , Transposing 15x , and ...
... Suppose the age of the elder x . Then the younger will be In 20 years the +20 . 3 x 4 • age of the elder will be x + 20 , and of the 3x younger 4 By the conditions 4 x + 80 5 = Multiplying by 5 , Multiplying by 4 , Transposing 15x , and ...
Σελίδα 40
... Suppose that for every 10 sheep a farmer kept , he should plough an acre of land , and should be allowed an acre of pas- ture for every 4 sheep . How many sheep may that person keep who farms 700 acres ? Let x = the whole number of ...
... Suppose that for every 10 sheep a farmer kept , he should plough an acre of land , and should be allowed an acre of pas- ture for every 4 sheep . How many sheep may that person keep who farms 700 acres ? Let x = the whole number of ...
Σελίδα 52
... Suppose a = 500 as in the example . α 3 a Then = 125 ; and = 375 . - 4 4 Ans . One part is $ 125 , and the other $ 375 ; the same as above . Suppose it is required to divide $ 7532 in the same propor- tions . Then a = 7532 ; α = 1883 3 ...
... Suppose a = 500 as in the example . α 3 a Then = 125 ; and = 375 . - 4 4 Ans . One part is $ 125 , and the other $ 375 ; the same as above . Suppose it is required to divide $ 7532 in the same propor- tions . Then a = 7532 ; α = 1883 3 ...
Σελίδα 61
... Suppose one pipe would fill the cistern in 8 hours , and the other in 43 hours , and find the answer by the general formula Ans . 3 hours 12. Suppose it were required to make a rule for Fellowship . First take a particular case . Three ...
... Suppose one pipe would fill the cistern in 8 hours , and the other in 43 hours , and find the answer by the general formula Ans . 3 hours 12. Suppose it were required to make a rule for Fellowship . First take a particular case . Three ...
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
3d power 3d root 5th power a b c A's share a² b³ added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities consisting contain decimal denominator divide the number dividend divisor equal equation example exponent expressed factors figure find the root find the sum formula found by multiplying fraction gallons geometrical progression gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root third term twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 31 - many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 34 - A certain person has two silver cups, and only one cover for both. The first cup weighs 12 oz. If the first cup be covered it weighs twice as much as the other cup, but if the second be covered it weighs three times as much as the first.
Σελίδα 89 - 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 242 - ... which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London ? (57.
Σελίδα 82 - It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If...
Σελίδα 13 - The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish?
Σελίδα 86 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 204 - The sum of all the terms. Any three of which being given, the other two may be found.