Wentworth & Hill's Exercise Manuals ...Ginn & Company, 1890 |
Contents
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Common terms and phrases
17 balls a+b)² a+b)³ a²+ab+b² a²b² a²b³ a²x² a³ b² a³b ab+b² ab² ab³ ac² annuity arithmetical progression black balls bx² cents compound interest contains continued fractions decimal fraction distance divided divisible dollars equal feet figures find the chance Find the numbers Find the values following expressions gallons Given kilograms LITERAL EQUATIONS Lower base miles per hour Multiply number of balls objects taken partial fractions Perform the following quotient ratio rectangle rectangular roots square yards subtracted Sum ad infinitum to-day total number Tuscan order UNKNOWN QUANTITIES upper base velocity white ball x+2a x²y xy² xy³ α α απ ах
Popular passages
Page 175 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.
Page 200 - ... 6. There are three events, А, В, С, one of which must happen. The odds are 3 to 7 on A, and 3 to 6 on B. Find the odds on C.
Page 107 - A merchant bought cattle which cost him in all $672. If each head had cost him $4 less, he would have been able to buy 3 more. How many did he buy, and at what price ? 23.
Page 91 - A number is composed of three figures whose sum is 17. The figure of the ^hundreds is double that of the units. When 396 is subtracted the order of the figures is reversed. What is the number? 34. Find three numbers such that the first plus half the sum of the other two is 120 ; that the second, added to £ of the difference between the third and the first, is 70 ; and half the sum of the three equals 95.
Page 192 - ... objects, taken 1, 2, 3 together, is to the number of n objects as 387 is to 1. Find n. 55. Find how many divisors a number has which is equal to 2s X 3 X 54 x 7 X 13.
Page 116 - To divide the number 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36.
Page 186 - ... 7, and group distinctly the corresponding values of x and y. 4. Convert 3.14159 into a continued fraction, and obtain four convergents. What is the limit of the error in taking the fourth convergent for the value of the decimal ? 5. (a) Derive the formula for the number of permutations of m things taken n at a time. (b) From 10 different things in how many ways can a selection of 4 be made ? 6.