# I am a positive integer less than 100. two more than my value is a multiple of 6. the sum of my digits is a multiple of 7. I must show all my work This kind of problem can't be

31,674 results
1. ## Maths

The smallest positive integer value of n for which 168 n is a multiple of 324

2. ## math

1)The function f is defined by the equation f(x)+ x-x^2. Which of the following represents a quadratic with no real zeros? A)f(x) +1/2 B)f(x)-1/2 C)f(x/2) D)f(x-1/2) 2) If I^(2k) = 1, and i = radical -1, which of the following must be true about k? A) k is

3. ## Algebra 1 Polynomials

Suppose n is an integer. Select all statements below that are true: (choose 3) A) n^2 + n is always an even integer*** B) n^2 + n is always an even integer when n is even*** C) n^2 + n is always an even integer when n is odd*** D) n^2 + n is never an even

4. ## Math

Tell whether the difference between the two integers is always, sometimes, or never positive. 1)Two positive integers. Never 2)Two negative integers. Sometimes. 3)A positive integer and a negative integer. Sometimes. 4)A negative integer and positive

5. ## maths

the smallest integer which is an exact multiple of both 60 and 126

6. ## math

Which statement is true? A.The sum of two positive integers is sometimes positive, sometimes negative. B.The sum of two negative integers is always negative. C.The sum of a positive integer and a negative integer is always positive. D.The sum of a positive

7. ## math

U= { all positive integer less than or equal to 30} M={all even positive numbers less than or equal to 20} N={all odd number less than or equal to 19} S={all integer x: 10

8. ## math , probability

Let X and Y be two independent and identically distributed random variables that take only positive integer values. Their PMF is px (n) = py (n) = 2^-n for every n e N, where N is the set of positive integers. 1. Fix at E N. Find the probability P

9. ## math

Show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.

10. ## Math

Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is true for every positive integer a. Then 3a^3 ≡ 3a (mod 3). (3a^3 - 3a)/3 = k, where k is an integer a^3 - a = k Therefore, a^3 ≡ a (mod 3). Is this a

11. ## maths

What is the smallest positive integer with exactly 12 (positive) divisors?

12. ## math

Rich chooses a 4-digit positive integer. He erases one of the digits of this integer. The remaining digits, in their original order, form a 3-digit positive integer. When Rich adds this 3-digit integer to the original 4-digit integer, the result is 6031.

13. ## Math

When you add a positive integer and a negative integer, you sometimes get a negative result and sometimes get a positive result. Is the same true when you multiply a positive integer and a negative integer?

14. ## 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]

15. ## Math

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

16. ## math

Show that any positive odd integer is of the form 6q+1, 6q+3 or 6q+5, where q is any positive integer

17. ## Math

is this statement always, sometimes, or never true: the absolute value of a positive integer is a negative integer. i think never am i correct

18. ## Math (Pre-Calc)

If any body could help me figure out these problems. I would love to know how to do it, and not just get an answer, however if you don't have the time to explain it to me, then the answer will suffice. 6. (1 pt) Solve the following equation in the interval

19. ## Maths

Prove that a number 10^(3n+1) , where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. thanx

20. ## Pre-Algebra 8th grade

I need help with my homework that is due tomorrow. Question 1 (Multiple Choice Worth 1 points) (01.01 MC) Which decimal number best describes the fraction fraction 137 over 6? *** A repeating decimal 22.83 with a bar over 3 A terminating decimal 22.83 A

21. ## calculus

A positive multiple of 11 is good if it does not contain any even digits in its decimal representation. (a) Find the number of good integers less than 1000. (b) Determine the largest such good integer. (c) Fix b ≥ 2 an even integer. Find the number of

22. ## algebra

Find two consecutive positive integers such that the sum of their squares is 85. n^2+(n+1)^2+2n = 85 n^2+n^2+2n+1=85 2n^2+2n=84 n^2+n=42 n^2+n-42=0 (n-6)(n+7)=0 n=6 n=-7 Is my work and answer correct? -7 is not a positive integer. Your first equation is

23. ## math

show that any positive odd integer is of the form 6q+1, 6q+3 or 6q+5, where q is any positive integer.

24. ## math, integers

State if this statement is always, sometimes, or never true. Use examples to explain. “The result of subtracting a negative integer from a negative integer is a positive integer.”

25. ## math

show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.

26. ## 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

27. ## Math

Explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.

28. ## Math

The squares of three positive integers are in arithmetic progression, and the third integer is 12 greater than the first. Find the second integer.

29. ## Math

Find the the sum of the second multiple of 7 the fifth multiple of 100 and the ninth multiple of 10

30. ## Math

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. If the same two-digit integer is multiplied by the sum of its digits, the product is 112. What is the two-digit integer?

31. ## MATH

Find the only positive integer whose cube is the sum of the cubes of three positive integers immediately preceding it. Find this positive integer. Your algebraic work must be detailed enough to show this is the only positive integer with this property

32. ## 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

33. ## 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

34. ## math

I am a positive integer less than 100. two more than my value is a multiple of 6. the sum of my digits is a multiple of 7. I must show all my work This kind of problem can't be solved by writing and solving one or two equations. You have to use "trial and

35. ## math

35. If b is a positive integer less than 400 and more than 100, then how many integer pairs (a,b) satisfy the equation a/b=2/9?

36. ## Math

What is the smallest positive integer n so that 3n squared is a multiple of 4

37. ## Math

What is the smallest positive integer value n, for which 2700n is a multiple of 35?

38. ## Math

A smooth partition of the integer n is a set of positive integers a 1 ,a 2 ,…a k such that 1. k is a positive integer, 2. a 1 ≤a 2 ≤⋯≤a k , 3. ∑ k i=1 a i =n, and 4. a k −a 1 ≤1. Determine how many smooth partitions there are of the integer

39. ## DISCRETE MATHS

We need to show that 4 divides 1-n2 whenever n is an odd positive integer. If n is an odd positive integer then by definition n = 2k+1 for some non negative integer, k. Now 1 - n2 = 1 - (2k+1)2 = -4k2-4k = 4 (-k2-4k). k is a nonnegative integer, hence

40. ## 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

41. ## ALGEBRA

Suppose that f(x)is a polynomial with integer coefficients, such thatf(n)is a multiple of n, for all positive integers n.What is the constant term of f(x)

42. ## algebra

Suppose that f(x)is a polynomial with integer coefficients, such thatf(n)is a multiple of n, for all positive integers n.What is the constant term of f(x)

43. ## geometry

A smooth partition of the integer n is a set of positive integers a1,a2,…ak such that 1. k is a positive integer, 2. a1≤a2≤⋯≤ak, 3. ∑ki=1ai=n, and 4. ak−a1≤1. Determine how many smooth partitions there are of the integer 250.

44. ## Algebra

A positive integer minus a positive integer is always positive. This statement is sometimes true. For example, 17 – 5 = 12, but 15 – 20 = –5. post five other statements about the addition and subtraction of positive and negative integers, and ask

45. ## math,correction

Find four solutions for the equation 3x+5y=15 so the equation will turn to be y=-(3)/(5)x+ (3) and when i do the table i get these points for the solution (-2,4.2),(-1,3.60),(0,3),(1,1.8) ok Let me give you a help. Take the slope, denominator. 5. Now make

46. ## Discrete Math

1. Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer. 2. Prove: n is an even integer iff 7n + 4 is an even integer. (Note this is an if and only if (iff) statement.

47. ## math

If n is a positive integer, then what is the value of (2/3)^n (1 1/2)^n-1? for positive integer n? Express your answer as a common fraciton?

48. ## mathematics

It can be shown that for any positive integer n, the infinitely nested radical expression (n+(n+(n+....)^1/2)^1/2)^1/2 equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer? Details

49. ## Maths

How many ordered sets of positive integer triples (a,b,c) are there such that a+b*c=100

50. ## 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?

51. ## math

35. If b is positive integers less than 400 and more than 100, then how many integer pairs (a,b) satisfy the equation a/b=2/9?

52. ## Discrete Math

Let n be positive integer greater than 1. We call n prime if the only positive integers that (exactly) divide n are 1 and n itself. For example, the first seven primes are 2, 3, 5, 7, 11, 13 and 17. (We should learn more about primes in Chapter 4.) Use the

53. ## Math (Complex Numbers)

Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n. What are the last 3 digits of N? Details and assumptions: A prime power is a number of the form pk, where p is a prime and k is a positive integer. Examples:

54. ## Math - Number Properties

How many positive integers less than 100 are equal to the product of a multiple of 6 and an odd number greater than 1?

55. ## 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

56. ## PALINDROMES

ON THE NUMERS 10 AND 100, HOW MANY OF THEM ARE PALINDROMES? PLEASE LIST THEM FIND PALINDROMES THAT ARE: A MULTIPLE OF 3 A MULTIPLE OF 4 A MULTIPLE OF 9 A MULTIPLE OF 12 A SQUARE NUMBER A TRIANGULAR NUMBER I will do one or two. 33 is one palidrome divisble

57. ## math

find the 3rd multiple of 100, the 4th multiple of 10,and the 9th multiple of 4

58. ## Math

Identify the elements of the set being described by the rule 1. M= {x/x is a whole number and 2

59. ## Math 7 Help!

1. negative integer is less than positive integer somtimes, always or never My answer/think: sometimes 2. A negative integer is less than another negative integer somtimes, always or never My answer/think: sometimes 3. Absolute value is the number of

60. ## Math

Given a fixed positive integer k > 1, find all integer solutions to the equation y^k = x^2 + x. (x^y means x to the power of y)

61. ## arithmetic

Find the smallest positive integer P such that the cube root of 400 times P is an integer.

62. ## math

if a greater integer is being subtracted from a lesser integer, is the answer positive or negative?

63. ## math

What ordered pair of positive integers (r, s) satisfies the equation 5r + 6s = 47, such that r > s? What is the integer for r ? What is the integer for s?

64. ## math

if a lesser integer is being subtracted from a greater integer, is the answer positive or is it negative?

65. ## Number theroy

What is the 50th smallest positive integer that can be written as the sum of distinct non-negative integer powers of 3?

66. ## math

1. If b is positive integer less than 200, then how many integer pairs (a,b) satisfy the equation a/b= 2/9?

67. ## math

Given x^2 = y + a and y^2 = x + a where a is a positive integer, find expressions for that yield integer solution for x and y.

68. ## math

1. If b is a positive integer than 200, then how many integer pairs (a,b) satisfy the equation a/b= 2/9

69. ## MATH URGENT

AN INTEGER IS RANDOMLY SELECTED AND PERMANENTLY REMOVED FROM THE SET OF 100 INTEGERS (1,2,3,...100). WHAT IS THE MINIMUM NUMBER OF TIMES THIS REMOVAL PROCEDURE WILL HAVE TO BE DONE TO GUARANTEE THAT AN INTEGER HAS BEEN REMOVED?

70. ## algebra

Call a positive integer N ≥ 2 “special” if for every k such that 2 ≤ k ≤ N, N can be expressed as a sum of k positive integers that are relatively prime to N (although not necessarily relatively prime to each other). How many special integers are

71. ## Math

For how many values of n where n is a positive integer less than 10 is n+1/2 an integer? A) None B) One C) Three D) Four E) Five Please I would like some help explaining how to get the answer :)

72. ## math

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with  DAB = x, and  ABC = 90◦, andAD = BC. Say the perpendicular bisector toDC meets

73. ## math

can you answer this question in a different and more logical way than this method below: we will examine the sum of cubes of two numbers, A and B. Without losing generality, we will further assume that A=2nX and B=2n+kY where X is not divisible by 2 n is a

74. ## Maths

Use proof by contraposition to prove that the following statement is true for all positive integers n: If n2 is a multiple of 3, then n is a multiple of 3.

75. ## math hw

In set of 30 different positive integers, every number is even and/or a multiple of 3. If 22 of these numbers are even and 15 are multiple of 3, then how many of these numbers are multiple of 6?

76. ## maths

can you answer this question: prove that a number 10^(3n+1), where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. with out using this method at all ................................. We will examine the sum of

77. ## Math

All of the following can be the product of a negative integer and positive integer EXCEPT A) 1 B) -1 C) -2 D -4 E) -6

78. ## maths

prove that any odd positive integer of 8q+1,where q is any integer?

79. ## Math (Combinatorics)

How many 4 digit positive integers have the ones digit a multiple of 1, the tens digit a multiple of 2, the hundreds digit a multiple of 3 and the thousands digit a multiple of 4?

80. ## Algebra

Can I have your help with an algebra/complex numbers related question? Question : What is the least possible integer for n, such that [(1+i)(1-i)]^n = 1. Note that i is the squre root of -1. First I multiplied both numerator & denominated by (1+i) to get,

81. ## Math

When the digits of a positive integer are written in reverse to form a new positive integer with the same number of digits(e.g., 1234 4321), the new number is 90 less than the original. What is the smallest possible value of the original number?

82. ## math

You are given a positive integer such that when the integer is divided by 1995, the remainder is 75. What will the remainder be when the same positive integer is divided by 57?

83. ## math

Lisa is thinking about two positive integers. The larger integer is seven less than twice the smaller integer. The larger integer is also three more than the smaller integer. What is the larger of the two integers that Lisa is thinking about? ~So the

84. ## math

Prove that a number 10^(3n+1) , where n is a positive integer, cannot be represented as the sum of two cubes of positive integers. thanx

85. ## Math (algebra)

Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x^3−ax^2+a^2b^3x+9a^2b^2 has roots r, s, and t. Given that there exists a positive integer k such that (r+s)(s+t)(r+t)=k^2, compute the maximum possible

86. ## pls heeelp math

For each positive integer n, let H _{n} = 1/1 +1/2 +⋯+ 1/n sum_{n=4}^{∞} 1/n*H_{n}*H_{n-1}=a/b for relatively prime positive integers a and b, find a+b

87. ## algebra

Find the sum of all positive integers c such that for some prime a and a positive integer b, a^b+b^a=c^a.

88. ## heeeelp math

For each positive integer n, let Hn=1/1 + 1/2 +⋯+ 1/n . If ∑ (up)∞ (base)(n=4) 1/n*Hn*H(n-1)= a/b for relatively prime positive integers a and b, find a+b.

89. ## algebra

how would i find least common multiple of 20, 50 and 3 ? okay well you take the 50 and times it by ever number 50--> is it divisbile by 3 NO so not the least common multiple 50x2=100 --> is it divisible by 3 NO, so not the least common multiple 50x3=150

90. ## discrete math

Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2). Proposition: That 4k (k is any integer) = a^2 +2b^2, and a is even, and b is odd. But 4k is even (product of any integer and 4), so a^2 must be even,

91. ## Algebra

If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

92. ## Math

Here is the question: Choose a nonzero integer for n to show that -n can be evaluated as a positive number. Here is my answer: If n=-2 then -n=-(-2)=2 Two negatives make a positive. Is this correct.

93. ## Math

A two-player game is played with two piles of stones, with sizes m,n. On a player's turn, that player can remove any positive integer number of stones from one pile, or the same positive integer number of stones from each pile. A player loses when they are

94. ## Maths

Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x3−ax2+a2b3x+9a2b2 has roots r, s, and t. Given that there exists a positive integer k such that (r+s)(s+t)(r+t)=k2, compute the maximum possible value

95. ## math

What is the largest integer n that 4n+1 is a multiple of n+1?

96. ## discrete math

Could someone help me with this induction proof. I know its true. given then any integer m is less than or equal to 2, is it possible to find a sequence of m-1 consecutive positive integers none of which is prime? explain any help is greatly appreciated

97. ## math

I am an interger greater than 0 and less than 100. I am a multiple of 3 The sum of my digits is a multiple of 9 Show all work and explain how you obtained your answer.

98. ## Math

x^2+x-k find all positive values for k, if it can be factored Allowed values of k for for the expression to be factorable with integers are a*(a+1) where a is an integer equal to 1 or more. For example: 2, 6, 12, 20... The factors are (x-a)(x+a+1) There

99. ## problem solving

what triangular region with p=100 has the most area? find all five triangular regions with p=100 having integer side and integer area . such as 29,29,42

100. ## math

show that the product of three consecutive even integer is a multiple of 48