Six times the sum of a number and 30 is at most 26

    • [PDF File]Delta College Middle School Math Competition Practice Test

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      Find the sum of elements in the set (š“ C) (B C) a. 4 b. 5 c. 12 d. 60 e. 72 26) A circular racetrack is built inside a square field so that the diameter of the circle is the same as the length of a side of the square. What is the smallest diameter for which the part of the field outside of the circle is a natural number? a. 1 2 −√šœ‹

    • [PDF File]Individual Contest Solution

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      of such a six-digit number. Solution: The six-digit number is divisible by 3 and 11. The digit sum of 2014 is 7 and the alternate digit sum of 2014 is 1. Hence the alternate digit sum of the six-digit number must be 0, so that its digit sum must be even. The digit sum is at least 3+5+7=15 and at most 8+9+7=24. Hence it is either 18 or 24 ...

    • [PDF File]Translating Words into Algebra - Leeward Community College

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      Multiply, times, the product of, multiplied by, times as much, of × 7 times y 7y The product of x and y xy 5 multiplied by y 5y one-fifth of p 1 5 p Division Divide, divides, divided by, the quotient of, the ratio of, equal amounts of, per ÷ Divide x by 6 x 6 or x ÷6 7 divides x x 7 or x ÷7 7 divided by x 7 x or 7 ÷x

    • [PDF File]Q - Johns Hopkins University

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      Let be number of different faces after rolling n times. Let =1 if face i appears at least once; =0 otherwise. Then = ∑ . Hence the desired quantity is () = ∑ =∑ ( ) =∑ ( =1)=∑ 1− =6 1− . (b) Let be number of rolls to get all the faces from “1” to “6”. Let = additional number rolls until the i-th different face appear.

    • [PDF File]Solve each inequality. Then graph the solution

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      One third of the sum of 5 times a number and 3 is less than one fourth the sum of six times that number and 5. $16:(5 The sum of one third a number and 4 is at most the ... room are 26 feet by 28 feet. Show how to use the Distributive Property to mentally calculate the area of the room. $16:(5

    • [PDF File]Mid-Chapter Quiz Translate each sentence into an equation.

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      The sum of three times a and four is the same as five times a is the same as three times a plus four equals five times a. three times a number a plus four equals five times a number a 3a + 4 = 5a The equation is 3a + 4 = 5a. One fourth of m minus six is equal to two times the sum of m and 9. 62/87,21

    • [PDF File]TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS

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      Addition ( + ) plus A number plus three x + 3 more than Ten more than a number x + 10 the sum of The sum of a number and five x + 5 the total of The total of six and some number 6 + x increased by A number increased by two x + 2 added to Eleven added to a number x + 11 Subtraction ( −) minus A number minus seven X – 7

    • [PDF File]Mr. Warnecke's Math Page - Home

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      TOSSING A DIE In Exercises 25-30, find the probabil for the experiment of tossing a six-sided die twice. 25. The sum is 6. 26. The sum is at least 8. 27. The sum is less than I l. 28. The sum is 2, 3, or 12 29. The sum is odd and no more than 7. 30. The sum is odd or prime. DRAWING MARBLES In Exercises 31-34, find t

    • [PDF File]Sequences 2008-2014 with MS

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      The sum of the first two terms of a geometric series is 10 and the sum of the first four terms is 30. (a) Show that the common ratio satisfies . (b) Given (i) find the first term; (ii) find the sum of the first ten terms. 22. [7 marks] The fourth term in an arithmetic sequence is 34 and the tenth term is 76.

    • [PDF File]1 Translating to algebra - City University of New York

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      (d) Three times the sum of a number and six equals the diļ¬€erence of the number and eight. Answer. 3x+18 = x−8, where xstands for the unknown number. (e) The sum of twice a number and twenty is smaller than three times the number plus seven. Answer. 2x+20

    • [PDF File]Multiple Choice Questions forReview

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      4. The number of four letter words that can be formed from the letters in BUBBLE (each letter occurring at most as many times as it occurs in BUBBLE) is (a) 72 (b) 74 (c) 76 (d) 78 (e) 80 5. The number of ways to seat 3 boys and 2 girls in a row if each boy must sit next to at least one girl is (a) 36 (b) 48 (c) 148 (d) 184 (e) 248 6.

    • [PDF File]STA 4321/5325 Solution to Homework 2 January 20, 2017

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      Since each question has two possible answers, total number of ways the 10 questions can be answered is 210 = 1024. Each outcome is equally likely, since the student is guessing the answers at random, and the number of ways the student gets exactly i correct answers is 10 i, for i = 0;:::;10. (a) Let A = fThe student gets at most two correct ...

    • [PDF File]26. Math League Press, P.O. Box 17, Tenafly, New Jersey ...

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      11. A ü 48Doubling 20 six times, my surf club had 2560 members 7 days later. Seven days after a Monday is also a Monday. A ü Sunday B ü Monday C Tuesday D Friday 11. B 12. A number such as 4.5 is rounded to 5, an increase of 0.5. This is the greatest possible increase when a number is rounded to the nearest integer.

    • [PDF File]Write an algebraic expression to represent

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      The sum of five times a number and 7 equals 18. $16:(5 The difference between the square of a number and 9 is 27. $16:(5 The difference between five times a number and the cube of that number is 12. $16:(5 Eight more than the quotient of a number and four is ±16. Name the property illustrated by each statement. $16:(5 Reflexive Property

    • [PDF File]Binomial and Poisson Probability Distributions

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      If we look at the three choices for the coin flip example, each term is of the form: C m pmqN-m m = 0, 1, 2, N = 2 for our example, q = 1 - p always! coefficient C m takes into account the number of ways an outcome can occur without regard to order. for m = 0 or 2 there is only one way for the out come (both tosses give heads or tails): C 0 = C 2 = 1 for m = 1 (one head, two tosses) there are ...

    • [PDF File]ECS20: Homework 8 Hints - University of San Francisco

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      Let X be the random variable that for the number of times we roll the die. This will have a geometric distribution (see pages 433-34). Answer Format: Your answer will be (a) a probability in terms of n and (b) a speciļ¬c value. Section 6.4 #16 Question: Let X and Y be the random variables that count the number of heads and the number of tails that

    • [PDF File]Translating English Words Into Algebraic Expressions

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      Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is equal to the product of x and 15 5x + 10 = 15x The sum of two consecutive integers (x) + (x + 1) The sum of two consecutive even integers (x) + (x + 2) The sum of two consecutive odd integers ...

    • [PDF File]Review Sheet: Chapter 3 - Probability

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      The last eight times that yogurt was on sale, it was ... B. Rolling a sum of 4 or rolling an even number with a pair of four-sided dice, numbered 1 to 4. C. Drawing a black card or drawing a Queen from a standard deck of 52 playing cards. D. Rolling a sum of 8 or a sum of 11 with a pair of six-sided dice, numbered 1 to 6.

    • [PDF File]Solving Linear Equations - Age Problems

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      10. The sum of the ages of a father and son is 56. Four years ago the father was 3 times as old as the son. Find the present age of each. 11. The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of the glass plate. Find the 5

    • [PDF File]Probability Distributions - Anderson School District Five

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      a. x = sum of the two numbers b. y difference between the first and second numbers. c. z number of slips selected that show an even number. d. w number of slips selected that show a 4. 12 32 al 1.13 4. Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability

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