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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

114,796 results

  1. 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.

  2. 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

  3. 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

  5. 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

  6. 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

  7. Pre Calculus 30

    1.How many positive three-digit integers can be made from the digits {3,4,5,6,7} if digits may be repeated? 5x4x3=60 2.In how many ways can all of the letters of the word HEXAGON be arranged if the arrangement must start with a consonant and end in a

  8. 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

  10. Maths

    The number 1000 can be written in several ways as a sum of one or more consecutive positive integers, for instance, 1000=1000 (one summand) or 1000=198+199+200+201+202 (five summands). Find the largest possible number of summands in a representation of

  11. 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

  12. 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.

  13. maths

    Find the number of positive integers

  15. Maths

    Find the number of positive integers

  16. 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.

  17. pcm

    Find the last three digits of the sum of all positive integers n

  18. 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]

  20. 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

  21. 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

  22. 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

  23. Algebra

    How many positive integers n≤1000 cannot be written in the form a2−b2−c2 where a,b and c are non-negative integers subject to a≥b+c?

  25. ALGEBRA.

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

  26. math

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

  27. math

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

  28. 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.

  30. 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?

  31. 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

  32. 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

  33. 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.

  35. 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!:(

  36. Math ( Number Theory )

    How many numbers from 1 to 1000 inclusive can be expressed as the sum of k >= 2 consecutive positive integers for some value of k ? Sorry to post question from Brilliant, I got 997 integers, but it's wrong. If you think you can answer ...

  37. 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

  38. 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

  40. math help please

    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

  41. 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

  42. 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

  43. 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

  45. Maths

    For how many odd positive integers n

  46. MATHS!!!!

    For how many odd positive integers n

  47. 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?

  48. 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

  50. 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?

  51. 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?

  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. 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?

  55. 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?

  56. 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

  57. 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

  58. 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

  60. 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,

  61. 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

  62. 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.

  63. 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

  65. 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

  66. 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

  67. algebra

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

  68. 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

  70. 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

  71. MaTh

    Find the sum of all positive integers less than 1000 ending in 3 or 7.

  72. Math

    Find the sum of all primes a

  73. MaTh

    Find the sum of all positive integers less than 1000 ending in 3 or 7.

  75. 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

  76. 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

  77. MaTh

    Find the sum of all positive integers less than 1000 ending in 3 or 7. What is the answer?

  78. math

    Find the sum of all integers m that are less than 1000 and equal to n!+1−−−−−√ for some positive integer n.

  80. Algebra

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

  81. math

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

  82. Algebra

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

  83. Math

    Find four consecutive,positive,even integers such that the product of the and the last integer equals the square of the 2nd integers

  85. Algebra 2

    Find three consecutive odd positive integers such that 3 times the sum of all three is 152 less than the product of the first and second integers

  86. math

    The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 53. Find the integers

  87. math

    The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 417. Find the integers

  88. Math

    The product of two consecutive even positive integers is 120. Find the integers.

  90. math

    How many different positive four-digit integers can be formed if the first digit must be 2, the last digit cannot be 0, and digits may be repeated? a) 336 b) 900 c) 1000 d) 9000 e) 10000

  91. 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

  92. 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?

  93. Math

    find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?

  95. Geometry

    How many positive integers less than 10^20 have all their digits the same?

  96. math

    The product of two consecutive positive even integers is 48. Find the integers.

  97. Maths

    How many positive integers less than 1000 are there which contain at least one 4 or at least one 9 (or both)?

  98. Algebra

    find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer. [only an algebraic solution can give full credit]

  100. MATH

    Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. Are there any positive integers n for which n4 +n3 +n2 +n+1 is a perfect square? If so, find all such n.

  101. math

    Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. Are there any positive integers n for which n4 +n3 +n2 +n+1 is a perfect square? If so, find all such n.

  102. Math

    How many positive 3-digit integers contain only odd digits?

  103. math

    What percent of the first 50 positive integers contain no odd digits?

  105. math

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

  106. 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?

  107. 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

  108. DISCRETE MATH

    HOW MANY POSITIVE INTEGERS LESS THAN 1000 A.are divisible by exactly one of 7 and 11? B. are divisible by neither 7 nor 11? C. have distinct digits? D. have distinct digits and are even?

  110. Geometry

    Find the number of 6 -term strictly increasing geometric progressions, such that all terms are positive integers less than 1000.

  111. math

    Find the number of 6 -term strictly increasing geometric progressions, such that all terms are positive integers less than 1000.

  112. 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?

  113. math

    How many positive integers less than 1000000 have the sum of their digits equal to 7?

  115. math

    How many positive integers less than 1000000 have the sum of their digits equal to 7?

  116. Algebra III

    How many positive odd integers less than 10,000 can be represented using the digits 0, 3, 6 an 9?

  117. maths

    How many positive integers N are there such that the least common multiple of N and 1000 is 1000?

  118. maths

    How many positive integers N are there such that the least common multiple of N and 1000 is 1000?

  120. Algebra PleaseHelppppppppp

    For how many positive integers 1≤k≤1000 is the polynomial fk(x)=x^3+x+k irreducible?

  121. math

    n and m are positive integers that satisfy n^3+2n^2=m^2. If 1≤n≤1000, how many possible pairs of (n,m) are there?

  122. inTEGERS!

    How many positive integers less than 1000 are odd but not a multiple of 5

  123. Maths Please Help

    Suppose a,b, and c are positive integers such that a+b+c+ab+bc+ca+abc=1000.

  125. math

    Let f(n)=1/√1+√2+1/√2+√3+1/√3+√4…1/√n+√n+1. For how many positive integers n, in the range 1≤n≤1000, is f(n) an integer?

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