An Introduction to Algebra Upon the Inductive Method of Instruction |
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Page 11
... gain 267 dollars , of which B has twice as much as A. What is the share of each ? In this example the unknown quantities are the particular shares of A and B. Let a represent the number of dollars in A's share , then 2x will represent ...
... gain 267 dollars , of which B has twice as much as A. What is the share of each ? In this example the unknown quantities are the particular shares of A and B. Let a represent the number of dollars in A's share , then 2x will represent ...
Page 11
Warren Colburn. as A and B both ; they gain $ 656 . What is each man's s of the gain ? 5. A gentleman , meeting 4 poor persons , distributed cents among them , giving the second twice , the third times , and the fourth four times as much ...
Warren Colburn. as A and B both ; they gain $ 656 . What is each man's s of the gain ? 5. A gentleman , meeting 4 poor persons , distributed cents among them , giving the second twice , the third times , and the fourth four times as much ...
Page 11
... Del = as A and B both ; they gain $ 656. a ) ( 3 ) ( 3a - 5 ) - 103 JOE T THE 30 ac a b ' z . o the first mem second member , abz - 5abiz H : 14 te 그 ist lingst bc +30 dc . c + 30 ac , on ; quation ? a - 46'c 126c ation ? ation ?
... Del = as A and B both ; they gain $ 656. a ) ( 3 ) ( 3a - 5 ) - 103 JOE T THE 30 ac a b ' z . o the first mem second member , abz - 5abiz H : 14 te 그 ist lingst bc +30 dc . c + 30 ac , on ; quation ? a - 46'c 126c ation ? ation ?
Page 12
Warren Colburn. as A and B both ; they gain $ 656 . What is each man's share of the gain ? 5. A gentleman , meeting 4 poor persons , distributed 60 cents among them , giving the second twice , the third three times , and the fourth four ...
Warren Colburn. as A and B both ; they gain $ 656 . What is each man's share of the gain ? 5. A gentleman , meeting 4 poor persons , distributed 60 cents among them , giving the second twice , the third three times , and the fourth four ...
Page 18
... gain $ 960 . What is each man's share of the gain ? Observe , the second put in 3 of what the first put in , and the third put in 5 . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They ...
... gain $ 960 . What is each man's share of the gain ? Observe , the second put in 3 of what the first put in , and the third put in 5 . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They ...
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Common terms and phrases
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
Popular passages
Page 31 - many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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?
Page 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.
Page 204 - The sum of all the terms. Any three of which being given, the other two may be found.