Elements of AlgebraGinn, 1891 - 510 σελίδες |
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A's chance ab+b² ab² ab³ Algebra arithmetical arithmetical series arranged binomial black balls cent chance of drawing coefficient common factor Complete the square complex number contains convergent cube root decimal denominator denote digits divided divisible divisor equal equation EXERCISE exponent expression Find the number Find the sum fraction given greater harmonical series Hence highest common factor hour increased integral less letters limit logarithm mantissa miles monomial Multiply negative number number of terms obtained order of differences polynomial positive quadratic quadratic equation quotient ratio remainder represent result second term selected Simplify Solve square root substituted Subtract surd third units unknown quantity vowels white ball whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 156 - From each equation obtain the value of one of the unknown quantities in terms of the other. Form an equation from these equal values, and reduce the equation.
Σελίδα 287 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 265 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 172 - When commodities are mixed, it is to be observed that the quantity of the mixture = the quantity of the ingredients; the cost of the mixture = the cost of the ingredients. Ex. A wine-merchant has two kinds of wine, which cost 72 cents and 40 cents a quart respectively. How much of each must he take to make a mixture of 50 quarts worth 60 cents a quart? Let x = required number of quarts worth 72 cents a quart, and y = required number of quarts worth 40 cents a quart. Then, 72 x — cost in cents of...
Σελίδα 170 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Σελίδα 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Σελίδα 4 - In studying the general properties of numbers, letters may represent any numerical values consistent with the conditions of the problem. 10. It is also convenient to use letters to denote numbers which are unknown, and which are to be found from certain given relations to other known numbers. Thus, the solution of the problem, " Find two numbers such that, when the greater is divided by the less, the quotient is 4, and the remainder 3 ; and when the sum. of the two numbers is increased by 38, and...
Σελίδα 298 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.
Σελίδα 150 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle?
Σελίδα 143 - 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.