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Find number abc

If ca1ca - 2c1bb = a700b find number abc. Multiple solutions may exist.

Correct answers: 6

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A man and his wife were sittin...

A man and his wife were sitting in the living room and he said to her, "Just so you know, I never want to live in a vegetative state, dependent on some machine and fluids from a bottle. If that ever happens, just pull the plug."
His wife got up, unplugged the TV and threw out all of his beer.

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Soap patent

In 1865, the first U.S. patent for a liquid soap was issued to William Sheppard of New York City (No. 49,561). The patent described his "discovery that by the addition of comparatively small quantities of common soap to a large quantity of spirits of ammonia or hartshorn is thickened to the consistency of molasses, and a liquid soap is obtained of superior detergent qualities." The proportions given were to dissolve one pound of common soap in water or steam, and then add 100-lbs of ammonia such that the liquid thickens to the consistency of molasses. The product was expected to be useful for both domestic and manufacturing purposes. (Hartshorn is an ancient name for an aqueous solution of ammonia).«*

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