The average of a set of five different positive integers is 360. The two smallest integers in the set are 99 and 102. What is the largest possible integer in this set?

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  1. Math

    2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought about it and saw 8*9=72,

  2. mathematics

    Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative integers. Prove that there exist infinitely many positive integers n such that P(n) is composite. Remember that if a and b are distinct integers, then P(a) - P(b) is divisible

  3. Pre Calc 12

    Four consecutive integers have a product of 360 Find the integers by writing a plynomial equation that represents the integers and then solving algebraically.

  4. Discrete Math

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  5. Algebra I

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  6. math

    U is the set of positive integers less than or equal to 30. A is the set of natural numbers that are multiples of 5 in U. B is the subset of all of the even integers in U. a) Find n(A U B) b) Find n(A intersect B) c) Find n(A U B' ) d Find n(B intersect

  7. ALGEBRA.

    The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?

  8. smallest of 3 integers

    The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

  9. math

    there are three consecutive positive integers such that the sum of the squares of the smallest two is 221. write and equation to find the three consecutive positive integers let x= the smallest integer

  10. math

    The positive difference of the cubes of two consecutive positive integers is 111 less than five times the product of the two consecutive integers. What is the sum of the two consecutive integers?

  11. discrete math

    1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For 1) use the definition of

  12. maths

    The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six integers is 108. What is the value of the integer that was removed?

  13. Algebra

    The product of the smallest and largest of three consecutive even integers is three times the middle integer. Find the integers

  14. Algebra

    The sum of the squares of the largest and smallest of three consecutive odd integers is 353 less than 3 times the square of the middle one. Find the integers.

  15. math

    For positive integers x and y, x+y=21. What is the smallest possible value of xy? a.10 b.20 c.38 d.54 e.110

  16. Algebra II

    The sum of the reciprocals of two consecutive positive integers is 17/12. Write an equation that can be used to find the two integers. What are the integers?

  17. Math

    Twice the smallest of three consecutive odd integers is eleven more than the largest. Find the integers. Please help I don't understand these type of math question

  18. math

    Ex 12: The smallest of five consecutive integers is represent by y-3. What is the largest of these integers, in terms of y? please explain and show work.

  19. maths

    If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?

  20. math

    How can I figure this out? Five integers have an average of 69. the median is 83. the mode is 85. the range of the 5 integers is 70. what is the second smallest of the 5 integers?

  21. algebra!!!! please help me!!!!

    The smallest possible positive value of 1−[(1/w)+(1/x)+(1/y)+(1/z)] where w, x, y, z are odd positive integers, has the form a/b, where a,b are coprime positive integers. Find a+b.

  22. Integers

    The sum of 6 consecutive integers is 171. Find the smallest of the integers

  23. Integers

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers.

  24. Math

    Write and solve an equation to solve each problem. The sum of three consecutive integers is 63. Find the integers. If the smallest integer is x, the equation will be_____ . The integers in ascending order are__,__,and__.

  25. SAT prep help

    Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set?

  26. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.

  27. Algebra

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers. Must have an algebraic solution.

  28. Fractions and Integers

    If x/4+y/5=19/20 where x and y are positive integers then x+y is? If you multiply through by 20 then you'll have 5x+4y=19 where x and y are positivie integers. Can you solve that? Hint: you only need to look at the integers less than 4. Thanx a lot.

  29. maths

    the non- decreasing sequence of odd integers {a1, a2, a3, . . .} = {1,3,3,3,5,5,5,5,5,...} each positive odd integer k appears k times. it is a fact that there are integers b, c, and d such that, for all positive integers n, añ = b[√(n+c)] +d. Where [x]

  30. Math

    The least integer of a set of consecutive integers is -25 if the sum of these integers is 26,how many integers are in this set?

  31. Math

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  32. Algebra

    Question : For each of the following, let the operation ∗ be defined on Z by the given rule. Determine in each case whether Z is a group with respect to ∗ and whether it is an abelian group. State which, if any, conditions fail to hold. (a) x ∗ y = x

  33. Math Algebra

    Two times the smallest of three consecutive odd integers is one less than the largest integer. Find the integers

  34. math

    A. Four times one odd integer is 14 less than three times the next even integer. Find the integers. B. The average of four consecutive odd integers is 16. Find the largest integer. C. When the sum of three consecutive integers is divided by 9 the result is

  35. math

    I do not undeerstand this question for homework. Determine if the set is closed for the given operation. 1. yes or no- The set of positive fractions for division. 2. yes or no=The set of positive integers for subtraction. Can someone help me? Is there a

  36. Arithmetic Operations

    Find a set of 4 distinct positive integers a,b,c,d such that the smallest positive integer that can not be represented by such expressions involving a,b,c,d (instead of 1,2,3,4) is greater than 22.You can use digits exactly once. You are allowed to reuse

  37. Maths(please check urgently

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range

  38. Maths

    A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the

  39. Math

    What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.

  40. Data Structures and Algorithms

    Given integers R,M with M≠0, let S(R,M) denote the smallest positive integer x satisfying the congruence Rx≡1(mod M) if such an x exists. If such an x does not exist, put S(R,M)=0. Each line of this text file contains a pair of space separated integers

  41. math

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k

  42. Mathematics

    Let 5a+12b and 12a+5b be the side lengths of a right-angled triangle and 13a+kb be the hypotenuse, where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.

  43. mathematics

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k.

  44. SAT math

    Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set? SAT prep help - Anonymous, Saturday, September 28, 2013 at 3:16pm a. 33 b. 34 c. 35 d. 36 e. 37

  45. math

    1. The largest of five consecutive integers is twice the smallest. Find the smallest integer. 2. When the sum of three consecutive integers is divided by 9 the result is 7. Find the three integers. 3. If each of three consecutive integers is divided by 3,

  46. math

    The sum of 4 consecutive integers is t. In terms of t, find the smallest of the four integers

  47. Math

    Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even

  48. math

    Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even

  49. Algebra 1

    The average of five consecutive integers is 13. One of the integers is removed and the sum of the remaining integers is 53. What is the value of the integer that was removed??

  50. algebra

    1. (Given the simple interest formula, I = Prt, solve for t) 2.(Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417. Let n be the first one. Write an equation that will

  51. 11th grade mths

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range

  52. math

    the sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. what is the smallest of the three integers?

  53. math

    the sum of the reciprocals of 3 consecutive positive integers is 47 divided by the product of the integers. what is the smallest of the 3 integers

  54. math

    the sum of the squares of four consecutive positive integers is 734. what is the smallest of the integers?

  55. Math

    What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.

  56. geometry!!! please help me!!!!

    Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w

  57. MAths

    4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?

  58. Maths!!!

    4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of (p/q)+(r/s) can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?

  59. Math

    1. Set I contains six consecutive integers. Set J contains all integers that result from adding 3 to each of the integers in set I and also contains all integers that result from subtracting 3 from each of the integers in set I. How man more integers are

  60. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.

  61. Algebra

    Joe picks 2 distinct numbers from the set of the first 14 positive integers S = \{1,2,3,\ldots,14\}. The probability that the sum of the 2 numbers is divisible by 3 can be expressed as \frac{a}{b}, where a and b are coprime positive integers. What is the

  62. Math

    Are the following sets closed? Explain why / why not? a) The set {1, 2, 3, 4, 5} under addition? b) The set {-1, 0, 1} under addition? c) The integers under addition? d) The set of positive integers under subtraction? e) The set of natural numbers under

  63. math

    10.If the average of four positive integers is 12, what is the largest possie value of one of those integers? A.35 B.37 C.40 D.42 E.45

  64. math

    Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers). Details and assumptions The number n!, read as n factorial, is equal to the product of all positive integers less than or equal to n.

  65. Integers

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  66. math

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  67. math

    Find the sum of the first one thousand positive integers. Explain how you arrived at your result. Now explain how to find the sum of the first n positive integers, where n is any positive integer, without adding a long list of positive integers by hand and

  68. math

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100? less than 1000? A positive integer is very prime-like if it is not divisible by any prime less

  69. Math

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  71. math, algebra

    2a+2ab+2b I need a lot of help in this one. it says find two consecutive positive integers such that the sum of their square is 85. how would i do this one i have no clue i know what are positive integers.but i don't know how to figure this out. Let n be a

  72. MAth

    In a set of five consecutive positive even integers, the ratio of the greatest integer to least integer is 2 is to 1. If these integers are arranged from lowest to highest, which is the middle integer in the list?

  73. java

    Write a java application that finds the smallest of several integers. Prompt the user for the number of integers that will be input, then prompt the user for that number of integers. Evaluate the integers to determine the smallest value. Run the program to

  74. Math

    The product of three consecutive odd integers reduced by 23 is 99 less than the cube of the sum of the smallest number and 2. Compute the mean of the three integers.

  75. math

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  76. Algebra

    For the positive integers x and y, x+y=21. What is the smallest possible value of xy? a. 10 b. 20 c. 38 d. 54 e. 110

  77. math

    Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers).

  78. Math

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  79. algebra

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  80. Math

    The average of a set of five different positive integers is 360. The two smallest integers in the set are 99 and 102. What is the largest possible integer in this set?

  81. math

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  82. MATH combinatorics HELP!!!!!

    Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w

  83. mathematics

    4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as ab, where a and b are positive, coprime integers. What is the value of a+b?

  84. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.

  85. math

    is the set of positive integers the same as the set of nonnegative integers? Explain

  86. MATH

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100? less than 1000? A positive integer is very prime-like if it is not divisible by any prime less

  87. Math

    What is the smallest of 3 consecutive positive integers if the product of the smallest and largest is 21 more than 9 times the middle number? x(x+2)=21+9(x+1) I'm not sure if this is a good equation to solve it..?

  88. math

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k

  89. Mathematics

    let 5a+12b and 12a+5b be the sides length of a right-angled triangle and let 13a+kb be the hypotenuse,l where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.

  90. Math

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  91. Math

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  92. math

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  93. Algebra

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  94. RATIO!!!!

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  95. equation

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  96. math

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  97. maths

    If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?

  98. math

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  99. Pre Calculus 30

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  100. Math

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