A Key to the Elementary Treatise on Algebra |
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1st and 2d 2d performed 5th inclusive 80 miles a b c d a2 b c ab(a ALGEBRA barrel beggars BOSTON breadth bushel cavalry cents chaise Changing the sign coffee cows denominator depth dollars eagles eggs elder Eldest England English enunciate equation gives feet flow gallons galls Greater guineas Hence Horse impossible inches infinite larger Length less Let the learner loses Lower m2 x y manner miles per hour months oats original equations oxen Performed Progression question question gives represent the number respectively rods scholars sheep SHERWIN shillings Smaller son's subtracting tripled Wheat Whole yards пр
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Σελίδα 3 - cavalry; 360 artillerymen; 720 infantry. 13. A 8 days, 72 rods; В 16 days, 112 rods; С 80 days, 400 rods. 14. 8 yds, 16 yds, and 24 yds respectively. 15. Sheep $2 ; calf $4 ; cow $20. 16. Greater 14 galls ; less 7 galls. 17. Beef 10 Ibs; mutton 20 Ibs. 18. 32 of each. 19.
Σελίδα 26 - of it by 5 ? 7. This question gives the number of years = — 40 ; and the equation being modified accordingly, we find that the question should have been : How many years after marriage was his age to hers as 7 to 6' 8. If - represent the fraction, the question gives
Σελίδα 5 - 6. 1st 10s. ; 2d 7s. ; 3d 8s. ; 4th 5s. ; 5th 3s. ; 6th 2s. 7. Smaller 40 galls. ; larger 80 galls. 8. Wheat 8s. ; rye 6s. per bushel. 9. 45 scholars in all. He wished to place 7 in a row. 10.
Σελίδα 28 - methods of elimination ; but they are all essentially the same, because they are all infinite. ART. 86. SECTION XXX. 1. 28. 5. 36. 2. 53. 6. 93. 3. 78. 7th and 8th performed. 4. 29. ART. 87.
Σελίδα 28 - 2 у = 10, in which the first members are identical, while the second members are different. Hence, the two conditions are incompatible with each other. By subtracting and canceling the terms containing y, we have 3
Σελίδα 27 - C's — $2000. Hence, either С is in debt $2000 ; or he possesses $2000. and a certain number of times his estate is subtracted, in each case, instead of being added. ART. 85. SECTION XXIX. 1. Let
Σελίδα 31 - SECTION XXXVI 3. 5 and 10. 4. Length 30, depth 8, breadth 22 feet. 5. 16 feet. • 6. 18 feet. 7. 6 and 12. 8. 22-071 + inches. 9. Side of the base
Σελίδα 55 - represent the known amount of their money, which is 5 . 32 or $160. In the first game A loses the whole amount minus his own share, or
Σελίδα 5 - SECTION IV. 1st, 2d, 3d, performed. 4. 60 years old. 20 years in Germany ; 15 in France ; 24 in England. 5. Whole estate $5040. He
Σελίδα 28 - Hence, the value of x is indeterminate; consequently, their ages cannot be ascertained from the conditions. 3. If z represent the number killed to-day, and