First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common SchoolsRussell, Shattuck, & Company, 1835 - 252 σελίδες |
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Σελίδα 27
... paid , and x , or 10 dollars more , which is to be paid back . From these examples we derive the following RULE for adding together two similar quantities , when their signs are not alike : Subtract the less coefficient from the greater ...
... paid , and x , or 10 dollars more , which is to be paid back . From these examples we derive the following RULE for adding together two similar quantities , when their signs are not alike : Subtract the less coefficient from the greater ...
Σελίδα 28
... paid away ; and , of course , 4 x dollars remain on hand . If the value of x be 100 dollars , then 900 dollars are received , 500 dollars paid away , and a balance of 400 dollars remains . 1 30. Add together 4 x , and 8 x , and 7 x ...
... paid away ; and , of course , 4 x dollars remain on hand . If the value of x be 100 dollars , then 900 dollars are received , 500 dollars paid away , and a balance of 400 dollars remains . 1 30. Add together 4 x , and 8 x , and 7 x ...
Σελίδα 39
... paid away , from 4 x . Now , if only 3 x be taken , it is evident that not enough is subtracted by the value of y , what- ever that may be . The work may , therefore , be expressed thus , 4 x 3 xy ; which , reduced , gives x y . - To ...
... paid away , from 4 x . Now , if only 3 x be taken , it is evident that not enough is subtracted by the value of y , what- ever that may be . The work may , therefore , be expressed thus , 4 x 3 xy ; which , reduced , gives x y . - To ...
Σελίδα 115
... shillings , the other 4 shillings , and the boy 3 shil- lings , a day . When the work was finished , he paid them $ 54 . How many days were they employed ? Let x the number of days . The first man EQUATIONS OF THE FIRST DEGREE . 115.
... shillings , the other 4 shillings , and the boy 3 shil- lings , a day . When the work was finished , he paid them $ 54 . How many days were they employed ? Let x the number of days . The first man EQUATIONS OF THE FIRST DEGREE . 115.
Σελίδα 118
... paid 4 times as much for the chaise as for the horse , and 5 times as much for the house as for the chaise . What was the price of each ? * 25. Two men , A and B , travel the same way ; A at the rate of 45 miles , and B 30 miles , a day ...
... paid 4 times as much for the chaise as for the horse , and 5 times as much for the house as for the chaise . What was the price of each ? * 25. Two men , A and B , travel the same way ; A at the rate of 45 miles , and B 30 miles , a day ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a b x A's share a² b² a³ b² acres added Algebra answer apples asked the age binomial Binomial Theorem bought bushels cents chaise coefficient common denominator completing the square compound quantities contain cost cube root difference digits Divide 12 dividend divisor dollars equal equation exponent expressed Extract the square farmer fourth power frac gain gallons gentleman give given quantity horse improper fraction less Let x A's letter merator miles an hour mixed Multiply negative quantity obtain oranges positive quantity quan question quotient receive Reduce remainder Required the square rods second power second term SECTION seventh power shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity whole worth x y z yards
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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"~
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.