First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common SchoolsJenks and Palmer, 1840 - 252 σελίδες |
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Σελίδα 46
... bushels ? ANS . 9 x apples . 4. If the interest of a given sum of money be y dollars per annum , what will the interest be for 8 years ? 5. How many bushels of corn are there in a field of 12 acres , which produces a bushels to the acre ...
... bushels ? ANS . 9 x apples . 4. If the interest of a given sum of money be y dollars per annum , what will the interest be for 8 years ? 5. How many bushels of corn are there in a field of 12 acres , which produces a bushels to the acre ...
Σελίδα 122
... and the remainder of it , which was 20 years , in the United States . What was his age ? 11. What number is that , than of it by 21 ? of which is greater 12. A man sold 75 bushels of wheat to two 122 FIRST LESSONS IN ALGEBRA .
... and the remainder of it , which was 20 years , in the United States . What was his age ? 11. What number is that , than of it by 21 ? of which is greater 12. A man sold 75 bushels of wheat to two 122 FIRST LESSONS IN ALGEBRA .
Σελίδα 123
... bushels of wheat to two per- sons ; to one , , and to the other , of all he had . How many bushels had he ? 13. A man gave to three poor persons $ 6 ; to the first ,, to the second , 4 , and to the third , of all the money he had in his ...
... bushels of wheat to two per- sons ; to one , , and to the other , of all he had . How many bushels had he ? 13. A man gave to three poor persons $ 6 ; to the first ,, to the second , 4 , and to the third , of all the money he had in his ...
Σελίδα 124
... bushels of barley as of oats . How many bushels of each sort must he use ? 22. Three boys spent 98 cents for fruit . B spent as much as A , and C spent as much as B. What did each spend ? 23. If you divide $ 75 between two men , in the ...
... bushels of barley as of oats . How many bushels of each sort must he use ? 22. Three boys spent 98 cents for fruit . B spent as much as A , and C spent as much as B. What did each spend ? 23. If you divide $ 75 between two men , in the ...
Σελίδα 137
... bushels more than the fourth ; the second , 12 bushels more than the third ; the first , 12 * EQUATIONS OF THE FIRST DEGREE 137.
... bushels more than the fourth ; the second , 12 bushels more than the third ; the first , 12 * EQUATIONS OF THE FIRST DEGREE 137.
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a b c a b x A's share a² b² a² b³ a³ b² acres added Algebra amount answer apples asked the age binomial Binomial Theorem bought bushels cents chaise coefficient completing the square compound quantity contain cost cube root debt difference Divide 12 dividend divisor dollars equal equation exponent expressed Extract the square fifth power fourth power gain gallons gentleman give given quantity horse improper fraction less letter miles an hour Multiply negative quantity obtain oranges positive quantity quan question quotient Reduce remainder Required the square rods second power second term SECTION seventh power shillings simple quantity square root subtracted third power tion tiplied tity transposition twice unknown quantity whole worth x y z yards
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Σελίδα 118 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~
Σελίδα 64 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Σελίδα 137 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days : how many days would the man alone be in drinking it ? Ans.
Σελίδα 247 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.
Σελίδα 233 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Σελίδα 134 - A gentleman invested -J of his property in a canal. When he sold out, he lost f of the sum invested, receiving only $1,446. What was the value of his property when he began ? Ans., $11,568. 29. A gentleman leaves $315 to be divided among four servants in the following manner : B is to receive as much as A, and |- as much more; C is to receive as much as A and B, and ^ as much more ; D is to receive as much as the other three, and £ as much more. What is the share of each ? price of the chaise, the...
Σελίδα 127 - There is a fish whose head weighs 9 lb. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both.
Σελίδα 121 - The distance from A to D is 34 miles. The distance from A to B is to the distance .from C to D as 2 to 3. And ± of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? Ans.
Σελίδα 137 - A hare starts 50 leaps before a grey-hound, and takes 4 leaps to the hound's 3; but 2 of the hound's leaps are equal to 3 of the hare's. How many leaps must the hound make, to overtake the hare ? 91.
Σελίδα 205 - RULE. I. Separate the given number into periods of two figures each, beginning at the right hand: the period on the left will often contain but one figure.