An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα ix
... multiplied by known quan- tities An equation , what Coefficients , what II . Questions producing simple equations , in which the unknown quantity is divided by known quan- tities III . Questions producing simple equations , in which the ...
... multiplied by known quan- tities An equation , what Coefficients , what II . Questions producing simple equations , in which the unknown quantity is divided by known quan- tities III . Questions producing simple equations , in which the ...
Σελίδα 25
... multiplied by 3 , because 52 is a number too large by x , therefore 3 times 52 will be too large by 3 x . 52 - 76 + x = 156 x = 156 x + 8x = 156 4 x 156 4 x = 80 X = 20 3x ―― 3 x 76 76 76 Ans . 20 guineas . This equation is rather more ...
... multiplied by 3 , because 52 is a number too large by x , therefore 3 times 52 will be too large by 3 x . 52 - 76 + x = 156 x = 156 x + 8x = 156 4 x 156 4 x = 80 X = 20 3x ―― 3 x 76 76 76 Ans . 20 guineas . This equation is rather more ...
Σελίδα 26
... multiplied , all the terms must be multiplied , and their signs preserved . In the last example , 52 — x , multiplied by 3 , gave a product 156-3x . 8. A person bought two casks of wine , one of which held exactly three times as much as ...
... multiplied , all the terms must be multiplied , and their signs preserved . In the last example , 52 — x , multiplied by 3 , gave a product 156-3x . 8. A person bought two casks of wine , one of which held exactly three times as much as ...
Σελίδα 33
... Multiplying by 5 , 16x320 15x + 400 Multiplying by 4 , Transposing 15x , and 320 , } 16 x --- 15x 400 - · 320 x = 80 age of elder . 3 x = 60 = 66 . 4 younger . 4. A man being asked the value of his horse and chaise , answered , that the ...
... Multiplying by 5 , 16x320 15x + 400 Multiplying by 4 , Transposing 15x , and 320 , } 16 x --- 15x 400 - · 320 x = 80 age of elder . 3 x = 60 = 66 . 4 younger . 4. A man being asked the value of his horse and chaise , answered , that the ...
Σελίδα 40
... Multiplying by 7 , 35 x - 285614 = 28560 Transposing and uniting , 15x 7 - 140 x - 15 x . 204 x 31416 x = 154 204 ----- x = 50 Let a denote the less number , and solve the question again . - Note . Observe , that after multiplying by 5 ...
... Multiplying by 7 , 35 x - 285614 = 28560 Transposing and uniting , 15x 7 - 140 x - 15 x . 204 x 31416 x = 154 204 ----- x = 50 Let a denote the less number , and solve the question again . - Note . Observe , that after multiplying by 5 ...
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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.