5. Reduce 1 mon. 3 da. 4 min. to min. Ans. 44644 min. 6. Reduce 1yr. 20 da. 19 hr. 15 min. 33 sec. to seconds, allowing 365 days to a year. Ans. 33333333 sec. 7. How many seconds in an exact solar (See Note 1, page 98.) 8. Reduce 10800 sec. to hours. year r? Ans. 31556928 sec. Ans. 3hr. Ans. 5 da. Ans. 2hr. 2 min. 2 sec. Ans. 3 da. 3 min. 9. 432000 sec. to days. Ans. 1 mon. 1 da. 1 min. Ans. 2wk. 2hr. ART. 98. CIRCULAR MEASURE Is used in estimating latitude and longitude, and in measuring the motions of the heavenly bodies. A circle is divided into 360 equal parts, called degrees; each degree into 60 parts, called minutes; each minute into 60 parts, called seconds. REVIEW.-98. For what is Circular Measure used? How is every Circle divided? Repeat the Table. 4. At 15 cents a peck, how many bushels of apples can be bought for $3? Ans, 5 bu. 5. If salt cost 2 cents a pint, how much can be bought with $1.66? Ans. 1bu. 1 pk. 1qt. 1pt. 6. I put 91 bushels of wheat into bags of 3 bu. 2pk. each how many bags were required? Ans. 26. Reduce both quantities to pecks, and then divide. 7. What is the value of 1 lb. 3pwt. of gold ore, at 3 cents a grain? Ans. $174.96 8. How many spoons, each weighing 2oz. 5pwt., can be made from 21b. 5 oz. 5 pwt. of silver? Ans. 13. 9. How many rings, weighing 5 pwt. 7 gr. each, can be made from 1 lb. 8 oz. 18pwt. 1 gr. of gold? Ans. 79. 10. If 1tb 43 of calomel be divided into doses of 15 grains each, and sold at 12 cts. 5 m. a dose, what will it amount to? Ans. $50. WHAT WILL BE THE COST OF Ans. $12.60 Ans. $189. Ans. $6. 11. 1tb 13 13 opium, at 4 cts. a ? 12. 6ewt. 1gr. raisins, at 3 cts. a lb.? 13. 1T. 1cwt. rice, at $2.25 a qr.? 14. 7lb. 8oz. copper, at 5ets. an oz.? 15. A physician put up 316 doses of rhubarb, of 20 gr. each how much did he use? Ans. 1b 13 13 19. 16. How many nails, weighing 4 drams each, are in a parcel weighing 15 lb. 9oz. 12 dr.? 17. I bought 44 cwt. 2qr. 21b. of cheese; 9lb. 15 oz.: how many cheese did I buy? 18. How many kegs, of 841b. each, can a hhd. of sugar of 14 cwt. 1qr. 3lb.? 19. How many boxes, containing 121b. filled from 7 cwt. 2qr. 6 lb. of tobacco? Ans. 999. each weighed Ans. 63. 20. If a family use 3lb. 13 oz. of sugar in a week, how long will 6cwt. 10lb. last them? Ans. 160 wk. 21. What will 2 A. 3R. 5 P. of land cost, at 20 cts. a Ans. $89. Ans. $144. perch? Ans. 216. 24. A farmer has a field of 16A. 1R. 13 P., to divide into lots of 1A. 1R. 1P, each: how many lots will it make? Ans. 13. 25. How many cu. in. in a block of marble 2ft. long, 2ft. high, 2ft. wide? Ans. 13824 cu. in., or 8 cu. ft. 26. One cubic foot of water weighs 1000 oz. Avoirdupois: what do 5 cu. ft. weigh? Ans. 312lb. 8oz. 27. What is the weight of a quantity of water occupy. ing the space of 1 cord of wood, each cu. ft. of water weighing 1000 oz. Avoirdupois? Ans. 4T. 28. A cubic foot of oak weighs 950 oz. Avoirdupois : what do 2 cords of oak weigh? Ans. 7T. 12 cwt. 29. How many pieces, of 13yd. 3qr. 2na. each, are there in 666 yards? 30. How many suits of clothes, each 1 qr., can be made from 147 yards? Ans. 48. containing 5yd. 31. How many coat patterns of 2yd. 1qr. 1na. each, can be cut from 37 yd. of cloth? Ans. 16. 32. How many suits of clothes of 3yd. 2qr. each, can be cut from 70 Ells Flemish of cloth? Ans. 15. 33. Fina the cost of 1 hogshead of wine, at 5 cents a gill. Ans. $100.80 34. Find the cost of 5 bl. of molasses, each containing 31 gal. 2 qt., at 10 cents a quart. Ans. $63. 35. At 5 cents a pint, what quantity of molasses can be bought for $2? Ans. 5 gal. 36. At 1 ct. 5 m. a gill, how much cider can be bought for $12? 37. How many dozen bottles, each bottle 1pt., can be filled from 1hhd. of cider? Ans. 25 gal. holding 3qt. Ans. 6 doz. 38. How many kegs of 4gal. 3qt. 1 pt. each, can be filled from 1 wine hhd.? Ans. 12; and 4 gal. 2 qt. left. 39. How many bottles, each holding 1 gal. 1qt. 1pt., can be filled from 165 wine gal.? Ans. 120. 40. What will 1 hogshead of beer cost, at 3 cents a quart? 41. The human heart beats 70 times a minute: how many times will it beat in a day? 42. How many seconds in the 1840? (See Note 1, page 98.) Ans. $6.48 Ans. 100800. month of February, Ans. 2505600 sec. 43. How many hours longer is January than February, A. D. 1839? (See Note 1, page 98.) Ans. 72 hr. 44. What are the leap years between 1837 and 1850? (See Note 1, page 98.) Ans. 1840, 1844, 1848. 45. The exact length of the solar year is 365 da. 5 hr. 48 min. 48 sec. how many such years are contained in 1609403328 seconds? Ans. 51 years. 46. How much time will a man gain in 60 yr., of 365 da. each, by rising 30 min. earlier each day? Ans. 456 da. 6 hr. 47. If a ship sail 8 miles an hour, how many miles will she sail in 3 wk. 2da. 3hr.? Ans. 4440 mi. 48. If a planet move through 2o in a day, how long it require to move through 2s 4°? Ans. 32 da. 49. In what time will one of the heavenly bodies move through a quadrant, (90°), at the minute? rate of 43′ 12′′ per Ans. 2hr. 5 min. WHAT WILL BE THE COST Ans. $8. Ans. $1.44 Ans. 72 cts. Ans. $17.28 Ans. $3. Ans. $7.84 50. Of 2 reams paper, at 20 cts. a quire? Ans. $25. 57. A farmer started for market with 6 dozen dozen ggs; he broke half a doz. doz., and sold the remainder at 1 ct. each: what did they amount to? Ans. $7.92 For additional problems, see Ray's Test Examples. ADDITION OF COMPOUND NUMBERS. ART. 101. The process of uniting numbers of different denominations into one sum or amount, is termed Addition of Compound Numbers. 1. A farmer sold three lots of wheat: the first lot contained 25 bu. 3 pk. 4qt.; the second, 14 bu. 5 qt. 1pt.; the third, 32 bu. 1 pk. 1 pt.: find the amount. SOLUTION. In writing the numbers, place units of the same denomination under each other, since only numbers of the same name can be added. Art. 20. Beginning with the column of the lowest denomination, and adding together the units in it, the sum is 2 pints, which is reduced to quarts by dividing by 2, the number of pints in a quart, and there being no pint left, write a 0 in the order of pints, and carry the 1 (quart) to the column of quarts. 25 OPERATION. bu. pk. qt. pt. 3 4 0 14 0 5 1 32 1 0 1 72 1 2 0 Then, adding the numbers in the column of quarts, the sum is 10 quarts, which, being reduced, make 1 peck and 2 quarts; write the 2 quarts in the column of quarts, and carry the 1 (peck) to the column of pecks. The number in the column of pecks added, |