Four times the sum of a number and 19 is at least 26

    • [PDF File]Consecutive Integer Problems

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      13. Four consecutive integers multiply to 5040. Find the sum of the four integers. A. 26 B. 30 C. 34 D. 38 E. 42 14. There exist 2 consecutive integers whose sum plus 39 equals three times the smaller number. What is the larger number ? A. 35 B. 38 C. 41 D. 44 E. 47 15. Six consecutive integers equal 27 when added together. Find the

    • [PDF File]Scanned Document - University of Kentucky

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      ats must be occupied to guarantee that at least two people seated in the auditorium have the same first and last initials? V 4. Let s = {3, 7, 11, 15, 19, . , 95, 99, 103}. How many elements must we select from S to insure that there will be at least two whose sum is 110? *a) Prove that if 151 integers are selected from {l, 2, 3,

    • [PDF File]Algebra One Summer Review Packet - Livonia Public Schools

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      18. Four times a number divided by 8 is 3 19. Five times the sum of a number and 6 is 48 20. The prodcut of a number and 3 is the same as the sum of that number and six 21. Fifteen decreased by the quotient of a number and 3 is 20 22. Four less than the product of a number and 7 is eight more than that number 23. A number is at most 45 24. A ...

    • [PDF File]Math 55 - University of California, Berkeley

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      (b) What is the expected number of tails in seven flips? (c) How many times must the coin be flipped so that there is at least a 90% chance that there has been at least one tail? (d) Suppose the coin is flipped 100 times. Give a lower bound on the probability that the number of tails is between thirteen and twenty-seven, inclusive. 2.

    • [PDF File]WS Consecutive Numbers Word Problems

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      2. Find four consecutive integers whose sum is 26. 3. The sum of four consecutive even integers is -124. Find the number. 4. The sum of four consecutive even integers is - 36. Find the number. S. Find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth. 6. Find four consecutive odd integers if the ...

    • [PDF File]Additional Mathematics- 0606 Series questions (new topic ...

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      The sum of the first and third terms of a geometric series is 100 The sum of the second and third terms is 60 (a) Find the two possible values of the common ratio of the series. (5) Given that the series is convergent, find (b) the first term of the series, (2) (c) the least number of terms for which the sum is greater than 159.9 (4)

    • [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]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]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]030107 Warm-Up 8

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      What is the least number ... • Sum of factors = 60 124 2 12 26 2 3. Quiz Wed. Dec. 19, 2002 Warm-Up 8 3 3. Evaluate: Express your answer as a common fraction. 4! 1 3 ... Quiz Wed. Dec. 19, 2002 Warm-Up 8 7 7. The sum of the reciprocals of three distinct natural numbers is 31/30. What is

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

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      “x” is used to represent the unknown. In translation problems, the words sum, total, difference, product and quotient imply at least two parts – use parentheses when a sum or difference is multiplied. For example, the phrase "the sum of three times a number and five" translates to "3x + 5," while the phrase "three times the sum of a ...

    • [PDF File]Individual Contest Solution

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      The sum of five consecutive numbers is equal to 5 times the middle number and the sum of three consecutive numbers is equal to 3 times the middle number. ... If the sum of the four integers is 22, the minimum value of the sum of ... = 16 more than a multiple of 13, which must be even. If this multiple is −26, the number is −5. If this ...

    • [PDF File]puzzles to give your brain an extended workout Every day ...

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      10 Wednesday January 19 2022 | the times times2 Codeword Every letter in the crossword-style grid, right, has been substituted for a number from 1 to 26. Each letter of the alphabet appears in the grid at least once. Use the letters already provided ... equal to the sum of the four surrounding spaces, and each colour total is correct A A A C E ...

    • [PDF File]For each of the following 25 questions, carefully blacken ...

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      18. The sum of the first ten terms of an arithmetic sequence is four times the sum of . the first five terms. What is the ratio of the second term to the first. (Note: all terms of the sequence are non-zero.) (A) 2:1 (B) 3:1 (C) 4:1 (D) 5:1 (E) 6:1. 19. A rectangular piece of paper with dimensions 6 by 12

    • [PDF File]PROBLEMS ON PROBABILITY - Massachusetts Institute of ...

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      number the sum of the numbers so chosen first exceeds 1, show that the expected or ... so that a ≤ b ≤ c. Show that for some n ≥ 1995, it is at least four times as likely that both b = a + 1 and c = a + 2 as that a = b = c. 22. At time t = 1 choose two numbers x ... 25. A deck of cards (with 26 red cards and 26 black cards) is shuffled ...

    • National Defense University (NDU) Annual Report for

      four times per year. A total of 205 uniformed officers and senior civilians (to include 14 Allied ... under 26 years' time-in-service (TIS), with at least two more tours of duty before expected retirement. The average of KEYSTONE Fellows over 26 years TIS was 40% in AY18 under the

    • [PDF File]MAT 070-Algebra I-Word Problems - Middlesex Community College

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      D) 5 times a number plus 11. Solution: 5 5 N times a number x plusN 11 11 N So the algebraic expression is: 5x 11. E) 5 times the sum of a number and 11. Solution: 5 times multiplication the sum addition N of a number and 11 We must be careful to show that 5 multiplies the sum of a number and 11. We will use parentheses to show this. 5 5 N ...

    • [PDF File]A Collection of Dice Problems - mad and moonly

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      10.On average, how many times must a 6-sided die be rolled until all sides appear at least twice? 11.On average, how many times must a pair of 6-sided dice be rolled until all sides appear at least once? 12.Suppose we roll ndice. What is the expected number of distinct faces that appear? 13.Suppose we roll ndice and keep the highest one.

    • [PDF File]2%2D1 Writing Equations

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      The sum of q and four times t is equal to 29. 62/87,21 Rewrite the verbal sentence so it is easier to translate. The sum of q and four times t is equal to 29 is the same as q plus four times t equals 29. The equation is q + 4t = 29. q plus 4 times t equals 29 q + 4 t = 29 A number n squared plus 12 is the same as the quotient of p and 4. 62/87,21

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