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added Addition Algebra answer Application Arithmetic base becomes bought cent cloth coefficient common completing the square containing cost cube root denominator denotes difference digits Divide dividend divisor equal Examples for Practice expression extracting the root extracting the square fifth find the values five follows four fourth fraction gained gallons gave geometrical Given greater half hence hour length less lues miles months multiplying this equation paid perpendicular person piece placed PROBLEM progression proportion question quotient ratio reasoning received remainder Required Required the number Required the sides respective rule second equation second term share shillings silk sold Solutions solved square root squaring each side substituting this value subtracted surd taken term Theorem third tion transposition triangle twice unknown quantity values of x weight whence whole number x and y yards
Σελίδα 13 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Σελίδα 14 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 79 - Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6.
Σελίδα 13 - If the first magnitude be the same multiple of the second that the third is of the fourth, and the fifth the same multiple of the second that the sixth is of the fourth...
Σελίδα 40 - Sib., his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish ? . Aas.
Σελίδα 13 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 13 - Composition, when the sum of the first and second is to the second as the sum of...
Σελίδα 80 - A farmer with 28 bushels of barley at 2s. 4d. per bushel, would mix rye at 3 shillings per bushel, and wheat at 4 shillings per bushel, so that the whole mixture may consist of 100 bushels, and be worth 3s. 4d. per bushel. How many bushels of rye, and how many of wheat must he mix with the barley ? Ans.