If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

Q: Find all solutions to 17r = 14 (mod 21).

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Q: Find the solution to 34x = 77(mod 89) that is positive and less than 89.

A: given that                                          34x≡77 (mod 89) we have to find positive…

Q: What are the FOUR values of x that will satisfy: x ≡ 4 mod 5 & x ≡ 3 mod 7 please show your…

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Q: just give the handwritten solution. Solve the congruence: 7x^5 congruent to 6(mod 17)

A: The solution is given below

Q: Modular division can be performed by considering the related multiplication problem. For instance,…

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Q: x is congruent to 43 mod 12. Then x is

A: x is congruent to 43 mod 12 implies x congruent 7 (mod 12). So, solution in the least residue system…

Q: If chord AB is congruent to chord CD, then what must be true about EF and EG?

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Q: x is congruent to 43 mod 12. Then x is None of the option 91 75 89

A: Answer is 91.

Q: x is congruent to 27 mod 7. Then x is 54 55 None of the option 46

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Q: Find all integer solutions to the equation 23. + 6x2 + x + 6 =1 mod 74. Explain your method and cite…

A: en x3+6x2+x+6 = 1 mod 71

Q: Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the remainder…

A: Where  would  129  be  on  a  mod  13  clock  (which  goes  from 0 to 12)? What is the remainder…

Q: 3x = 11 (mod 20)

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Q: Suppose b is any integer. If  b mod 12 = 5,  what is 6b mod 12? In other words, if division of b by…

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Q: If you multiply n whole numbers (even or odd) when is the answer odd? Translate into multiplication…

A: If we multiply whole numbers, the pattern is as follows: Even × Even=Even Even × Odd=Even Odd ×…

Q: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

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Q: Solve each equation for x.  5x ≡ 2, (mod 7), x, (mod 7) 7x + 1 ≡ 4, (mod 11), x, (mod 11)

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Q: x is congruent to 43 mod 12. Then x is None of the option 89 91 75

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Q: Find the integer a such that a ≡ 71( mod 47) and -46  ≤ a ≤ 0 I'm not sure how to solve this. But I…

A: Let's find.

Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

A:

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: The value of 52003 mod 7 is? (3 (4 8) 9

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Q: If 3x + 2 = 0 (mod 7), which of the following values can x assume? О а. -3 O b. 0 О с. 2 O d. -1

A: Given 3x + 2 = 0 (mod 7).

Q: Solve for x using The Division Algorithim : 937 =x (mod 4)

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Q: 3. First solve for q: (a) 143 = 1( mod 2) (b) Rewrite 143 as the product of 11 x 13 and show that…

A: Consider the given information: a=q m+ r Where a= dividend , q=quotient, m=mod , and r=remainder. To…

Q: i need to find the value of m 12 = (m*28)mod 113

A: Solution is given by using Diophantine equation and extended Euclidean algorithm as follows

Q: Suppose c is an integer. If c mod 15 = 3, what is 10c mod 15? In other words, if the division of c…

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Q: Does x2 + 5x congruent to 12 (mod 31) have a solution? (Hint: complete the square)

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Q: What is the inverse of 16 modulo 43 i.e. which number a has the property that 16*a has the remainder…

A: From question we have to find the inverse of 16 modulo 43. i.e  16*a mod(43)=1 It can also be…

Q: 1. Solve the congruence 17x ≡ 42 (mod 100). 2.Compute the remainder of 3293 when divided by 97…

A: 1) solve the congruence 17x=42+100k implies17≡42+100k as we know gcd17,100=1 and 1/42 now, using…

Q: 8. How many positive divisors does 2000= (2^4)(5^3) have?

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: What mistakes are found in this proof.

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Q: If 3x + 2 = 0 (mod 7), which of the following values can x assume? O a. O b. 0 O c. -1 O d. -3 2.

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Q: Solve x2+3x+2 is congruent to 0 (mod 55)

A: 55=5×11 and gcd(5,11)=1, hence they are co-prime.The given system of equation x2+3x+2≡0mod 55 is…

Q: The value of 52003 mod 7 is? (3 4 8

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Q: Does 5x = 6 mod 12 have a solution? How many?

A: As per our guidelines we are supposed to answer only One question  if there are multiple questions…

Q: The order of 5 mod 17 is

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: The equation 82x = 12 (mod 13) has O 1 incongruent solution modulo 12 O 4 incongruent solutions…

A: First Option Is Correct Answer.

Q: b. 3x = 0 (mod 21)

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Q: or what values of k, x=4 will be a solution for 3x²+4x = k mod31?

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Q: olve the congruence8x= 16 (mod 424).  If none exists, explain why.  If there are one or…

A: The given equation is: 8x≡16mod 424

Q: 7x =4 (mod 12).

A:

Q: 9. a. Solve xQ + Q – 4 = 3Q + 5 (mod 2Q), where Q = 2 b. Find the quotient and remainder when Q is…

A: 9. a) Given congruence is xQ+Q-4≡3Q+5mod 2Q where Q=2 Using the value Q=2 in the given congruence…

Q: Number theory

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Q: The number of incongruent solutions of 105x = 45(mod60) is: 6 12 None of the choices 15

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Q: Does

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Q: Suppose a # b (mod m). Let r be the remainder of a when divided by , and let s be the remainder of…

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Q: Does ?2 ≡ 23 (mod 79) have any solutions. Justify your answer using the Legendre symbol.

A: Note that the congruence X^2= 23 (mod 79) will have solution if and only if 23 is a quadratic…

Q: The number of mutually incongruent solution(s) of 307x = 83 (mod 360)

A: BY THE DEFINITION OF Modulus congruence Modulus congruence means that both numbers, 16 and 21 for…

Q: Find the solution to 2x = 7(mod 17) that is positive and less than 17.

A: We find solution of given congruence relation

Q: Number theory

A: