An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard, 1826 - 276 σελίδες |
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Αποτελέσματα 1 - 5 από τα 81.
Σελίδα 15
... Ꮖ Let x denote the whole length . Then + +5 must be equal to the whole length . Hence , Reducing to a common denominator , 2 3 Ꮖ X x = . +5 + 2 3 6 х 3x 2 x + = + 5 6 6 6 6x 5 x Adding together , +5 6 6 Since II . 15 Equations .
... Ꮖ Let x denote the whole length . Then + +5 must be equal to the whole length . Hence , Reducing to a common denominator , 2 3 Ꮖ X x = . +5 + 2 3 6 х 3x 2 x + = + 5 6 6 6 6x 5 x Adding together , +5 6 6 Since II . 15 Equations .
Σελίδα 16
... hence , х = 5 6 6 and x = 30 Ans . 30 feet . Proof . One half of 30 is 15 , and one third of thirty is 10 . Now 30 15 + 10 + 5 . * There is another mode of reducing the above equation which in most cases is to be preferred . It is the ...
... hence , х = 5 6 6 and x = 30 Ans . 30 feet . Proof . One half of 30 is 15 , and one third of thirty is 10 . Now 30 15 + 10 + 5 . * There is another mode of reducing the above equation which in most cases is to be preferred . It is the ...
Σελίδα 26
... Hence it appears that any term may be transposed from one mem- ber to the other , care being taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to ; and 3 ...
... Hence it appears that any term may be transposed from one mem- ber to the other , care being taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to ; and 3 ...
Σελίδα 30
... Hence we have Multiplying by 2 , By transposing x and -70 , Uniting terms , Dividing by 5 , 3x - 35 = x + 25 6 x 6 х - 2 -70 = x + 25 x = 25 + 70 5 = 95 x = 19 B's age . x + 25 = 44 A's age . = Note . Since of x +25 is 3x - 35 30 V ...
... Hence we have Multiplying by 2 , By transposing x and -70 , Uniting terms , Dividing by 5 , 3x - 35 = x + 25 6 x 6 х - 2 -70 = x + 25 x = 25 + 70 5 = 95 x = 19 B's age . x + 25 = 44 A's age . = Note . Since of x +25 is 3x - 35 30 V ...
Σελίδα 40
... Hence 74- -X = the price of a lemon . 18 56 Ꮖ 74 - x 12 = 18 & c . 18. A man bought 5 oranges and 7 lemons for 58 cents ; af- terwards he bought 13 oranges and 6 lemons at the same rate for 102 cents . What was the price of an orange ...
... Hence 74- -X = the price of a lemon . 18 56 Ꮖ 74 - x 12 = 18 & c . 18. A man bought 5 oranges and 7 lemons for 58 cents ; af- terwards he bought 13 oranges and 6 lemons at the same rate for 102 cents . What was the price of an orange ...
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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 a² b² a² b³ added algebra algebraic quantities apples approximate root Arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons 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 tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 4 - 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 236 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 101 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 271 - Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as i to |. 29.
Σελίδα 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.
Σελίδα 92 - 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 186 - The 3d power of (2 a — d)4 is (2 a That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised. 1. Express the 2d power of (3 6 — c)4. 8. Express the 3d power of (a — c + 2 d)'. 9. Express tjie 7th power of (2 a
Σελίδα 276 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours.
Σελίδα 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.
Σελίδα 269 - 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.