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 39
... figures , let x = 5 , and y = 3 ; then 4 x = 20 , and 3 x + y : = 15+ 3 , or 18 : now , ― 15 2 , and 20 15 and - - 3 is also 2. In this 20 18 = last expression , we may either subtract 15 from 20 , and then subtract 3 from the remainder ...
... figures , let x = 5 , and y = 3 ; then 4 x = 20 , and 3 x + y : = 15+ 3 , or 18 : now , ― 15 2 , and 20 15 and - - 3 is also 2. In this 20 18 = last expression , we may either subtract 15 from 20 , and then subtract 3 from the remainder ...
Σελίδα 40
... figures . Let x = 6 , and y = 4 ; then 5 x 30 , 4 ; that is , we are required to and 3 x take 18 - y = 18 — 4 from 30. Now , 18 4 16 , which is the true answer . 14 , and But if we 30 14 = take the whole of 18 from 30 , we take too much ...
... figures . Let x = 6 , and y = 4 ; then 5 x 30 , 4 ; that is , we are required to and 3 x take 18 - y = 18 — 4 from 30. Now , 18 4 16 , which is the true answer . 14 , and But if we 30 14 = take the whole of 18 from 30 , we take too much ...
Σελίδα 61
... figures ; the other is , to determine the character of that expression , either as positive or negative . In the last section , the mode of dividing one simple quantity by another , was considered alone , without any regard to the signs ...
... figures ; the other is , to determine the character of that expression , either as positive or negative . In the last section , the mode of dividing one simple quantity by another , was considered alone , without any regard to the signs ...
Σελίδα 90
... figure placed above it on the right hand . This figure is called its Exponent . It shows the Power of the letter ; that is , how many times it is used as a factor in the multipli- cation . When a letter has no number annexed , the ...
... figure placed above it on the right hand . This figure is called its Exponent . It shows the Power of the letter ; that is , how many times it is used as a factor in the multipli- cation . When a letter has no number annexed , the ...
Σελίδα 143
... figures , and their sum is 6. If 18 be added to the number , the sum will consist of the same digits inverted . What is the number ? Since the number consists of two digits , the first must be in the place of tens . Let this be denoted ...
... figures , and their sum is 6. If 18 be added to the number , the sum will consist of the same digits inverted . What is the number ? Since the number consists of two digits , the first must be in the place of tens . Let this be denoted ...
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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.