## First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common Schools |

### From inside the book

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**gallons**in an hour . from them all in 2 hours ? 33. Multiply 8 a x by 4 . 34. Multiply 12 a b x by 6 . How much will flow ANS . 40 x**gallons**. 35. Multiply 9 a b c by 2 . 36. 48 FIRST LESSONS IN ALGEBRA . Page 117

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**gallons**, be emptied by 3 cocks ; one of which discharges 2**gallons**in 15 minutes ; the second , 5**gallons**in 30 minutes , and the third , 3**gallons**in 45 minutes ? * 19. One man leaves New York for Boston , and travels 9 miles an hour ... Page 119

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**gallon**; and the price of the whole was $ 50 . How many**gallons**did he buy ? * 29 . A farmer employed two men to build 105 rods of wall ; one of whom could build 4 rods , and the other 3 rods a day . How many days did they work ? 30 ... Page 129

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**gallons**an hour , when a pipe was conducted into it , which restored 21**gallons**an In how many hours was the cistern full again ? 10. A man , being asked his age , answered , that if 1 his father's age , which was 52 years ,. our ... Page 131

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**gallon**; and he would make a mix- ture of 100**gallons**, that shall be worth 12 shillings per**gallon**. How many**gallons**of each must he take ? * 18 . How many**gallons**of wine , at 9 shillings a**gallon**, must be mixed with 20**gallons**at ...### Other editions - View all

### Common terms and phrases

A's share acres added Algebra amount answer apples asked the age binomial bought bushels cents chaise coefficient common denominator completing the square compound quantities contain cost cube root debt difference Divide dividend divisor dollars equal exponent expressed Extract the square farmer fourth power fourth root frac gain gallons gentleman give given quantity greater horse improper fraction less letter merator miles an hour mixed multiply equation negative quantity obtain oranges peaches pears pounds quan question quotient receive Reduce remainder Required the number rods second power second term SECTION shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity worth x y z x²y yards α² α³ ху

### Popular passages

Page 246 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.

Page 122 - 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"~

Page 141 - 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.

Page 251 - 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.

Page 68 - 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.

Page 237 - 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.

Page 138 - 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...

Page 131 - 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.

Page 166 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 125 - 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.