does there exists   ______such that if n is divided by 5 the remainder is 2 and  if   ?

Q: If x is any positive integer , then the sum of 6x and 11x is always divisible by what?

A: x is a positive integer. Find sum of 6x and 11x is divisible by what?

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: For any integer z, if 3 divides z2, then 3 also divides z.

A:

Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: Show that if n is any integer, then 3 divides n3 − n

A: To prove:  if n is any integer, then 3 divides n3 − n. Concept used: Here we shall use the identity:…

Q: Show that if 5 divides n2 with remainder 4, 5 divides 3n3 with remainder 2.

A: Given that 5 divides n2 5 n25 n×n5 n5 n3 As it gives the remainder 4 on dividing by 5. Therefore it…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600…

A:

Q: 2. Factor. 10 x2/5 (4x + 7)/2 +÷ 7 3 7/5 (4x + 7)-1/2 3

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Q: Determine whether the following statements below is true or false. 1. (1/2)2<1/2, and 123 is…

A:

Q: prove that the one's digit of any integer,n, is the remainder when one divides n by 10.

A:

Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: Estimate the error in using the partial sum of 35 terms of the series > k=1 Error < Hint: Use the…

A: The given series is ∑k=1∞ 6k6. We have to find error.

Q: No. of students No of painted tables in 4 hours 1 1 2 4 3 9 4 16 -If we doubled the number of…

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Q: Find the largest negative integer leaves a remainder 2 when divided by 3, 5, and 12. (If it is not…

A: Let us  solve the question in the next step.

Q: Proof. If x 65.4*.

A: Using inequality find the domain. We get domain is x&lt;0 and x&gt;3.

Q: QUESTION 5 A pediatrician wishes to recruit 4 women, each of whom is expecting their first child, to…

A: We have to solve problem number 5 and 6,in 5 we have given a condition and we have to find out the…

Q: Find the result of the operations indicated in each of the following problems using formulas (F-01)…

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Q: For all numbers that are a multiple of 6 and less thar or equal to 100, what fraction of them are…

A: For the given statement

Q: For all integers a, b and c, if a divides b and a divides c, then a divides (4b - 3c). True False

A: Answer is TRUE

Q: If a, b, c all are distinct positive numbers then (a + b) (b + c) (c + a) is

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Q: show that given two numbers m and n, if m is even and n is even, then the product is even

A: Solve by using product rule

Q: True or False: For all integers a, b, and c, if a divides b and b divides c, then a divides c. True…

A: