# How many positive integers less than 100 have a reminder of 3 when divided by 7?

32,984 results
1. ## math

if a polynomial leaves a remainder of 5 when divided by x-3 and a reminder of -7 when divided by x+1, what is the reminder when the polynomial is divided by x^2-2x-3?

2. ## 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,

3. ## math

97 is the largest prime less than 100. What is the largest prime factor of 97! (97 factorial)? (Reminder: The number n! is the product of the integers from 1 to n. For example, 5!=5*4*3*2*1= 120.)

4. ## discrete math

Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. (b) have distinct digits. (c) are not divisible by either 5 or 7.

5. ## Math

What is the quotient of −920 divided by 40? Which integer rule determines the sign of the quotient? A) 23; The quotient of integers with unlike signs is positive. B) −23; The quotient of integers with unlike signs is negative. C) 23; The sign of the

6. ## 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?

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

8. ## Estimation decimal quotient

Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by 3.33, 0.65 divided by 5.1,18.2

9. ## algebra

the expression 6x^2-2x+3 leaves a reminder of 3 when divided by x-p,Determine the value of p

10. ## maths

If f(x)=x3+lx+m leaves the same reminder when divided by (x-1) or by (x+1). Find values of l and m?

11. ## 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

12. ## 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

13. ## discrete math

let d be a positive integer. Show that among any group of d+19not necessarily consecutive) integers there are two with exactly the same remainder when they are divided by d. The possible values of the remainders are 0, 1, 2, ...d-1. So there are a total of

14. ## Algebra

The sum of the squares of two consecutive positive even integers is one hundred sixty-four. Find the two integers.

15. ## 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

16. ## 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?

17. ## Math

How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided by 11, and a remainder 4

18. ## 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

19. ## 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

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.

21. ## 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]

22. ## MATH

TWO INTEGERS ARE DEFINED AS "PARTNERS" IF BOTH OF THEIR PRIME FACTORIZATIONS CONTAIN ALL THE SAME PRIME FACTORS. FOR EXAMPLE, 15 AND 45 ARE PARTNERS SINCE BOTH ARE DIVISIBLE BY THE SAME SET OF PRIME NUMBERS 3 AND 5. HOW MANY POSITIVE INTEGERS GREATER THAN

23. ## math

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

24. ## 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.

25. ## Peter

For all positive integers w and y, where w > y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)). For how many positive integers w is w ☺ 1 equal to 4? A. More than four B. None C. One D. Two E. Four *I found only 3/5 as the answer

26. ## Math concepts

How many positive odd integers between 100 and 10000 can be formed using the digits 2,3,4,5 and 6

27. ## math

49. How many integers between 70 and 105 have a reminder of 2 when divided by 15?

28. ## math

What is the largest power of 5 which divides the product of an the first 100 positive integers: 1 X 2 X 3 X ... X 98 X 99 X 100? A.5^2 B. 5^20 C. 5^24 D. 5^100

29. ## 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

30. ## 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?

31. ## 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.

32. ## math

If n is a positive integer, n! is the product of the first n positive integers. For example, 4! = 4 x 3 x 2 x 1 =24. If u and v are positive integers and u!=v! x 53, then v could equal A. 6 B. 8 C. 56 D. 57

33. ## Math

Tell whether the sum between the two integers is always, sometimes, or never positive. Two Positive Integers: Sometimes One Positive and one negative integer: Always Is it right?

34. ## 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?

35. ## 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.

36. ## math

What percentage of the first 100 positive integers contains no even digits?

37. ## Algebra

suppose a,b,c and d are different positive integers whose sum is 100, and a-c=5. what is the greatest possible value of ab-cd?

38. ## Numbers

How many positive integers less than or equal to 1000 are common multiples of the three numbers 8,100, and 40

39. ## math

The sum of two positive integers is 60 and their positive difference is 26. What is the positive difference between the squares of the two integers? Can anyone explain this one to me?

40. ## math

the sum of two positive integers is 60, and their positive difference is 26. what is the positive difference between the squares of the two integers?

41. ## Algebra

For two consecutive positive even integers, the product of the smaller and twice the larger is 160. Find the integers.

42. ## algebra

what are 3 consecutive positive even integers that the product of the second and third integers is twebnty more than ten times the first integer?

43. ## math

How many positive integers less than 100 have a reminder of 3 when divided by 7?

44. ## maths

When the function f(x) is equal to 2xn + ax2 - 6 is divided by (x-1), the reminder is -7 and when divided by (x+3), the reminder is 129. Calculate the value of "a" and "n" and hence write the polynomial function completely.

45. ## 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?

46. ## 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

47. ## 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

48. ## Math

How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? Find the smallest positive integer that leaves a remainder 5 when divided by 7, a remainder 6 when divided by 11, and a remainder 4

49. ## 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.

50. ## 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

51. ## 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

52. ## algebra

Simplify. 3 - 2(4 - 7) ÷ 9 i don't know what ta dooooo after i subtract 4 and 7 which is -3 then multiply 2 which is -6 then i don't know what to do afterwards, i know pemdas so -6 divided by 9 cannot be so please help on that. the integers from -3 to +3

53. ## math

How many positive integers, a, are there such that 2027 divided by a leaves a remainder of 7?

54. ## algebra!

How many positive integers, a, are there such that 2027 divided by a leaves a remainder of 7?

55. ## 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

56. ## Math (algebra)

Let x,y be complex numbers satisfying x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of all possible distinct values of a such that x^3+y^3 is a positive prime number?

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

58. ## Maths

17 the larger of two number is divided by the smaller,the quotient and the reminder are 2 each. 17 5times the smaller number is divided by the larger,the quotient and the reminder are still 2 each. Find the two number.

59. ## 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

60. ## ^Maths^

What iz d. sum ov all 3digit positive integers exist dat when divided by 7 leave a remainder ov 5

61. ## 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

Find the reminder when (x^4-9x^2-2x+5) is divided by (x+3)

63. ## math

A number leaves reminder 6 when divided by 10. What is the remainder when the number is divided by 5? Justify your reasoning.

64. ## math

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

65. ## maths

7. Find the reminder when 333666777888999 is divided by 3 or 9 or 11 ?

66. ## math

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

67. ## 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?

68. ## Math

The quotientire and reminder are x-2 and -2x+4 respectively when the polynomial x^3-3x^2+x+2 is divided by g(x) find g (x).

69. ## math

4. How many positive integers less than 100 are divisible by 3,5,7? A.None B.One C.Two D.Three E.Four

70. ## 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!:(

71. ## MATHS

The sequence {ak}112,k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋. Find the remainder when S is divided by 1000.

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, and k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

73. ## 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

74. ## math

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, nd k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

75. ## discrete math

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, nd k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

76. ## Maths

Using each of the 10 digits 0 to 9 just once, is it possible to form positive integers who se sum is exactly 100?

77. ## Algebra

suppose a,b,c and d are different positive integers whose sum is 100, and a-c=5. What is the greatest possible value of ab-cd?

78. ## 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

79. ## MATHS - HCF

Find the least number when divide by 25, 45, 60 leaves reminder 20. 2) Find the least number which when divided by 18, 12, 24 leaves a reminder of 16, 10, 22 respectively. Can U help me to find the answer.

80. ## maths - hcf

1) Find the least number when divide by 25, 45, 60 leaves reminder 20. 2) Find the least number which when divided by 18, 12, 24 leaves a reminder of 16, 10, 22 respectively. Can U help me to find the answer.

81. ## Maths

Given the f (x) =2x^3 + ax^2 + bx - 9. (a)Find the value of a and b if f (x) has a factor x -3 but leaves a reminder of 8 when divided by x + 1. (b) Factorize f (x) completely and hence solve for x.

82. ## math

suppose that a, b, c ,and d are positive integers whose sum is 100 and a-c=5.What is the greatest possible value of ab-cd answers

83. ## math

how many positive integers less than or equal to 100 have a prime factor that is greater than 4?

84. ## MATH *IMPORTANT

WHAT IS THE VALUE OF (4 TO THE THRIRD POWER) DIVIDED BY (2 TO THE SECOND POWER)? EXPRESS YOUR ANSWER IN THE FORM OF A(B SQUARED) WHERE A AND B ARE POSITIVE INTEGERS AND A HAS THE LEAST POSSIBLE VALUE.

85. ## math

I need help figuring out these four euations with integers 5x=-25 6x-4=-40 x - +5=0 is this one 3 -x+7=-7 isnt this on 14 please help thank you very much OK, for the first one (5x=-25), you would go: -25 divided by 5, and that equals -5. The second one is

86. ## 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?

87. ## 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

88. ## 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?

89. ## 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

90. ## Maths

in the following rings find all units, Zero divisors and idompotent elements and determine whether the ring is a field. a)Z2 b)Z5 c)Z10 NB z is integers( positive or negatives including zero z is integers( positive or negatives including zero

91. ## Math

Can someone please explain how to solve the following question? "How many integers between 26 and 92, inclusive, have a remainder of 6 when divided by 13? Name those integers." Thank you in advance

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

93. ## algebra

Find the sum of all positive integers c such that for some positive integers a and b {a!⋅b!=c!} {a+c+3}

94. ## 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

95. ## maths

For all positive integers n, let f3(n) be the representation of n in base 3, considered as a number in base 10. For example, since 5 in base 3 is 123, so f3(5)=12. What is the sum of all positive integers n such that f3(n)=8⋅n?

The sequence {ak}112 (base)k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋. Find the remainder when S is divided by 1000. Details and assumptions The function ⌊x⌋:R→Z refers to the

97. ## Algebra

The sum of two different positive integers is 123. The larger integer is four more than six times the smaller one. What are the two integers?

98. ## 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?

99. ## 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?

100. ## math

Two positive integers aer in the ratio 2:5. If the product of the two integers is 40, find the larger integer.