First Year Mathematics

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Charles E. Merrill Company, 1916 - Mathematics - 253 pages

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Page 175 - A sum of money is divided equally among a certain number of persons; if there had been four.
Page 112 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 178 - A's 49, B's 21 yrs. 24. There is a certain number consisting of two places of figures, which being divided by the sum of its digits, the quotient is 4, and if 27 be added to it, the digits will be inverted ; required the number.
Page 174 - The sum of two numbers is 123, and if the greater is divided by the smaller, the quotient is 2 and the remainder is 3. Find the numbers.
Page 217 - At what time between 4 and 5 o'clock are the hands of a clock exactly opposite each other ? 7.
Page 38 - A person buys 4 houses; for the second, he gives half as much again as for the first; for the third, half as much again as for the second; and for the fourth, as much as for the first and third together: he pays $8000 for them all.
Page 112 - That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Page 14 - If the horse cost 4 times as much as the saddle, what was the cost of each ? 3.
Page 18 - A's share = $45 ; whence B's share is $90 and C's $270. 2. A fortress is garrisoned by 2600 men ; and there are nine times as many infantry, and three times as many artillery as cavalry. How many are there of each ? 3. From two towns, which are 187 miles distant, two travellers set out at the same time, with an intention of meeting. One of them goes 8 miles, and the other 9 miles a day. In how many days will they meet ? 4.
Page 46 - A circumference is a closed curved line every point of which is at the same distance from a point within called the center.

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