# 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?

38,960 results
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

Theorem: For every integer n, if x and y are positive integers with max(x, y) = n, then x = y. Basic Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1. Inductive Step: Let k be a positive integer. Assume

5. ## Algebra I

Tell whether the set is closed under the operation. If it is not closed give an example that shows that the set is not closed under the operation. 10. Positive irrational numbers; division 11. Negative rational numbers; multiplication 12. Negative

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?

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

The least integer of a set of consecutive integers is -48. if the sum of these integers is 49, how many integers are in the set?

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

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

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.

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

Integers greater than 1000 are created using the digits 2, 0, 1, 4 exactly once in each integer. What is the difference between the average of the largest and smallest of these integers that can be created this way?

66. ## math

is the set of positive integers the same as the set of nonegative integers? explain please

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

Paulo withdraws the same amount from his bank account each week to pay for lunch. Over the past four weeks, he withdrew one hundred twenty dollars. Which rule best applies to determine the change in his account each week? 1. The product of two positive

70. ## Math

In addition to the blood types A, B, AB , and O, a person’s blood may be classified as Rh positive or Rh negative. In the United States, about 15% of the white population is Rh negative, while the percent is much lower in other racial groups. The

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

how do i solve the sum of the first n even positive integers is h. the of the first n odd positive integers is k. determine the value of h-k, in terms of n

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

Let a be an integer, then there are integers X, Y such that aX+(a+1)Y=1. Find the smallest positive value of Y.

79. ## algebra

Suppose a and b are positive integers. A) Verify that if a = 18 and b = 10, then √a * √b = 6√5. B) Find two other pairs of positive integers a and b such that √a * √b = 6√5. HELP!:(

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

A set of integers has a sum of 420, and an average of 60. If one of the integers in the set is 120, what is average of the remaining integers in the set?

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

Let S(n) denote the sum of digits of the integer n. Over all positive integers, the minimum and maximum values of S(n)/S(5n) are X and Y, respectively. The value of X+Y can be written as a/b , where a and b are coprime positive integers. What is the value

91. ## Math

Find the smallest possible sum of six consecutive integers such that none of the integers is prime.

92. ## 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?

93. ## Algebra

a,b,c are positive integers such that a:b=7:9 and b:c=12:7 . What is the smallest possible value of a ?

94. ## RATIO!!!!

a,b,c are positive integers such that a:b=7:9 and b:c=12:7. What is the smallest possible value of a?

95. ## equation

the smallest 3 consecutive integers is added to twice the largest , the result so obtained is fifteen less than four times the middle integer. find the integers

96. ## math

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

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

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

99. ## Pre Calculus 30

1.How many positive integers five-digit integers end with the digit 0? 9x10x10x10x? what number would represent zero 2.Using the digits {1,2,5,6,7,9} and not allowing repetition of digits, how many positive three-digit integers can be made that are larger

100. ## Math

Find the smallest positive integer d such that d=105m+216n, where m & n are integers.