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added algebraic approaches arithmetical arranged balls becomes called cent chance changed coefficient common complete consists contains continued convergent corresponding cube decimal denominator denote Determine difference digits divided divisible divisor double drawing drawn equal equation event example EXERCISE exponent expression factor feet figure Find Find the number four fourth fraction given gives greater happen Hence hour imaginary increased integral interest length less letters limit logarithm means method miles Multiply negative obtained person positive quotient ratio reduced remainder represent respectively result root Rule selected side Simplify solution Solve square square root substituted Subtract surd taken term third trial twice units whole write written zero
Page 388 - Any two sides of a triangle are together greater than the third side.
Page 54 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 148 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 192 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.
Page 43 - 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.
Page 281 - 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.
Page 259 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 162 - 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...
Page 164 - 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...
Page 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.