An Introduction to Algebra Upon the Inductive Method of Instruction

Hilliard, Gray, Little, and Wilkins, 1836 - 276 σελίδες

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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 81 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Σελίδα 232 - The sum of all the terms. Any three of which being given, the other two may be found.
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 | to f . 29.
Σελίδα 274 - Th? fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space. Required the circumference of each.
Σελίδα 14 - Three men built 780 rods of fence ; the first built 9 rods per day, the second 7, and the third 5 ; the second worked three times as many days as the first, and the third, twice as many days as the second. How many days did each work? 13. A man bought some oxen, some cows, and some calves for $348 ; the oxen at $38 each, the cows at $18, and the calves at $4. There were three times as many cows as oxen, and twice as many calves as cows. How many were there of each sort? 14. A merchant bought a quantity...
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.
Σελίδα 272 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4 ; but if the digits be inverted, and that number divided by a number greater by 2 than the difference of the digits, the quotient becomes 14.
Σελίδα 200 - If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the root.
Σελίδα 228 - That is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one.

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