Essentials of Algebra for Secondary SchoolsD.C. Heath & Company, 1897 - 411 σελίδες |
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Σελίδα 5
... fourth of the third . 20. A man bought a cow , a sheep , and a hog for $ 84 . The price of the hog was one - fifth the price of the cow , and $ 7 less than the price of the sheep . What was the price of each ? 21. The sum of three ...
... fourth of the third . 20. A man bought a cow , a sheep , and a hog for $ 84 . The price of the hog was one - fifth the price of the cow , and $ 7 less than the price of the sheep . What was the price of each ? 21. The sum of three ...
Σελίδα 6
... fourth . What are the numbers ? DEFINITIONS . 6. If a number be multiplied by itself any number of times , the ... fourth , " or and so on . 66 66 66 a second power , " denotes a xa ; a third power , " denotes a x axa ; a fourth power ...
... fourth . What are the numbers ? DEFINITIONS . 6. If a number be multiplied by itself any number of times , the ... fourth , " or and so on . 66 66 66 a second power , " denotes a xa ; a third power , " denotes a x axa ; a fourth power ...
Σελίδα 53
... fourth of the greater . Here there are two unknown quantities , the greater part and the less . In accordance with the first suggestion of § 76 , we will represent the less part by x . The two statements of the problem are , implicitly ...
... fourth of the greater . Here there are two unknown quantities , the greater part and the less . In accordance with the first suggestion of § 76 , we will represent the less part by x . The two statements of the problem are , implicitly ...
Σελίδα 56
... fourth as many dollars as dimes , and 5 times as many cents as dollars . How many has he of each kind ? 22. A garrison of 4375 men contains 4 times as many cavalry as artillery , and 71⁄2 times as many infantry as cavalry . How many are ...
... fourth as many dollars as dimes , and 5 times as many cents as dollars . How many has he of each kind ? 22. A garrison of 4375 men contains 4 times as many cavalry as artillery , and 71⁄2 times as many infantry as cavalry . How many are ...
Σελίδα 57
... less number by 27 . 35. Find four consecutive numbers such that the product of the first and third shall be less than the product of the second and fourth by 9 . 36. A laborer agreed to serve for 32 days on SIMPLE EQUATIONS . 57.
... less number by 27 . 35. Find four consecutive numbers such that the product of the first and third shall be less than the product of the second and fourth by 9 . 36. A laborer agreed to serve for 32 days on SIMPLE EQUATIONS . 57.
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a²b a²b² a²x² a³b ab² ab³ Algebra arithmetic means arithmetic progression ax² binomial cent change the sign coefficient cologarithm common factor cube root decimal degree denominator digits dimes Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the number Find the value following rule geometric geometric progression Hence highest common factor last term less logarithm m²n mantissa miles an hour monomial Multiplying negative number Note number of dollars number of terms partial fractions polynomial positive integer positive number quadratic equation quotient radical sign ratio remainder result second term Solve the equation Solve the following square root Subtracting Transposing trial-divisor unknown quantities Whence x²y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 276 - In any proportion,, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 55 - ... the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Σελίδα 128 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Σελίδα 37 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 277 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 133 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Σελίδα 18 - From §§36 and 37, we have the following rule: To subtract one number from another, change the sign of the subtrahend, and add the result to the minuend.
Σελίδα 275 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Σελίδα 136 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown quantities in the resulting equations of equal absolute value.
Σελίδα 45 - A term may be transposed from one member of an equation to the other by changing its sign.