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 15
... miles an hour , and B leaves Newburyport , at the same time , and walks 5 miles an hour . In how many hours will they meet , the places being 32 miles apart ? In this question , the thing required is , in how many hours A and B will ...
... miles an hour , and B leaves Newburyport , at the same time , and walks 5 miles an hour . In how many hours will they meet , the places being 32 miles apart ? In this question , the thing required is , in how many hours A and B will ...
Σελίδα 48
... miles in one hour , how far will he travel in 2 a hours ? ANS . 2 a b miles . = Let b 6 , and a 5 ; then 2 a 2 × 5 , or 10 ; and 2 a b = 2 × 5 × 6 , or 60. Or we may say , in a hours he will travel a b miles ; in 2 a hours he will ...
... miles in one hour , how far will he travel in 2 a hours ? ANS . 2 a b miles . = Let b 6 , and a 5 ; then 2 a 2 × 5 , or 10 ; and 2 a b = 2 × 5 × 6 , or 60. Or we may say , in a hours he will travel a b miles ; in 2 a hours he will ...
Σελίδα 117
... miles an hour ; another man leaves Boston for New York , and travels 7 miles an hour . In how many hours will they meet , the cities being 224 miles apart ? 20. Four boys , A , B , C and D , upon counting their money , found they all ...
... miles an hour ; another man leaves Boston for New York , and travels 7 miles an hour . In how many hours will they meet , the cities being 224 miles apart ? 20. Four boys , A , B , C and D , upon counting their money , found they all ...
Σελίδα 135
... hour ? Let the hour . Then 12 x 48-4 x And x = 5 time to midnight . 7. A privateer , running at the rate of 10 miles an hour , discovers a ship 18 miles off , making way at the rate of 8 miles an hour . In how many hours will the ship ...
... hour ? Let the hour . Then 12 x 48-4 x And x = 5 time to midnight . 7. A privateer , running at the rate of 10 miles an hour , discovers a ship 18 miles off , making way at the rate of 8 miles an hour . In how many hours will the ship ...
Σελίδα 137
... miles an hour , and B at the rate of 7 miles . In what time will they meet ? How many miles does each travel ? 20. Two brothers , A and B , had the same income . A spent all of his , and more ; B saved of his . At the end of 10 years ...
... miles an hour , and B at the rate of 7 miles . In what time will they meet ? How many miles does each travel ? 20. Two brothers , A and B , had the same income . A spent all of his , and more ; B saved of his . At the end of 10 years ...
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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
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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.