333 111 3: Show that 7 divides 111+ 333

Q: Find the value of c if -226 Σ1+0 2 C = No decimal entries allowed.

A: summation (1+c)^-n from 2 to infinity converges only if |1+c|<1(1+c)^-n is a GP series. Use the…

Q: Which of the numbers are divisible by 3? Determine the remainder when the number is a. Is 49,875,325…

A:

Q: 2. 6n - 1 is divisible by 5 for n any positive integer

A:

Q: Show that 7 divides (1111)³³³³ + (3333)¹¹¹¹

A:

Q: (a) Find the number of integers between 32 and 395 that are divisible by 6. (b) Find their sum.

A: (a) The first term of the integers between 32 and 395 is a1=36 which are divisible by 6   and the…

Q: If N =30 -1. Is N is divisible by 125?

A:

Q: 1. Which operation below does not change the value of any nonze ro number on oob A. Adding by One B.…

A:

Q: Evaluate cosh(In 3). Enter your answer as a reduced fraction.

A:

Q: Use long division to determine the decimal equivalent of 7 over 9

A: long division is a standard division algorithm suitable for dividing multi-digit numbers that is…

Q: Write76.8 of 52.5 is what number

A:

Q: Evaluate the integral. 8 7 xp- Xp 7

A: The given integral is ∫787x2dx. Evaluate as follows.

Q: *-

A: Given: 3x=π4+nπ

Q: Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the…

A: (1) We have to find the natural numbers for which the number 3n+1 is divisible by 10. (2) We have to…

Q: 83° 105 9. Find the value of x: O x= 22 Ox-11

A: Given:  To find: x

Q: Find the largest two-digit integer that leaves the remainders 2 and 3 when divided by 5 and 7.

A:

Q: Evaluate the quotient. 3.76×1047.13×108

A: Given number is 3.76x1057.13x108

Q: If a ball is thrown upward at 96 feet per second from a height of 4 feet, the height of the ball can…

A:

Q: 6. How can you use the fact that 25 = 625 to show that 5= 1 ? Explain your process of thinking. 625

A:

Q: (a) How many positive integers divide 10!.

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 86 (4n+2) n=2 Submit Answer

A:

Q: How many 4 digit numbers in the range 1000-9999 are there, when a digit may be repeated any number…

A: Given, 4 digit numbers  starting from 1000 and ending to 9999 The answer to the above question is…

Q: 7 divides n if and only if 7 divides n^2

A: Consider If 7 divides n  To prove 7 divides n2 7 divides n can be written as 7×k=n  Consider 7n2…

Q: 8 Robots can assemble 20 toys in 50 minutes assume all the robots are equally productive how many…

A: Please rate and feel free to ask any query about any part.

Q: 6. Find x in ADEF.

A: We have the given figure as We have to find the value of x

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: To find- Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder…

Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

A:

Q: Does 7|6265? Using the method we learned in class, show how you can tell without actually dividing…

A:

Q: 3. Find a number with remainders of 3, 11, and 15, when divided by 10, 13, and 17, respectively.

A: Find a number with remainder of 3,11,15 when divided by 10,13,and 17 respectively.     Here i…

Q: Evaluate the following to a proper fraction. 16¯7 32 -32 O 32 1. 32

A: Basic fraction problem Here option (A) is correct Analysis done below

Q: 0o SHOTON REDMIS How many different nine-digit telephone numbers can be oformed if the fırst digit…

A:

Q: Find the smallest positive interger x such that 1001 x leaves a remainder of 70 when divided by 315

A: The given statement can be expressed as an expression, which ix given below  315y+70=1001x Now,…

Q: Find the result of 5 + 4 using the definition of addition

A: addition is summing up of two or more numbers

Q: How many different numbers can be formed using all the digits of 3 334 777?

A:

Q: 2. FRACTIONS 44444KK Complete the number line by typing the correct fractions in the spaces…

A: Given query is to find the correct fraction.

Q: 278 510 865 None of these (a) Which numbers are divisible by 10? (b) Which numbers are divisible by…

A: To find Which numbers are divisible by 10,2 and 5

Q: Q3) by 47 Show that 4(44!)+49 is divisible

A: Wilson's theorem says that for any prime number p we have p-1!≡-1 modp Since, 47 is a prime number,…

Q: 6. Find the remainder when 721 divided by 43 7. For a given integer n, prove that 3 k-0

A: To find the remainder when 7221 divided by 43. Now, 7 and 43 are relatively prime and 43 is a prime…

Q: 6. What is the sum of all 100 positive odd integers starting with 1? Apply your common sense if it…

A: Given n=100

Q: How many possible ordered triples (x1, x2, x3) are there such that x1, x2, x3 are non-negative…

A:

Q: 25.07 is divisible by what?

A: IF ANY NUMBER HAS FACTORS MORE THAN TWO THEN IT IS CALLED A COMPOSITE NUMBER.

Q: 3 and v = 4. Evaluate 16u2v3 when u = - Write your answer as a simplified fraction or integer.

A: The given expression is: 16u2v3

Q: Which of the numbers are divisible by 4? Determine the remainder when the number is a. Is…

A: Divisibility by 4: A number is divisible by 4, if last two digits of a number are divisible by 4.…

Q: Let n be the positive integer n=36!/26! Determine the remainder when n is divided by 13.

A: We will find out the required value.

Q: where did 22/7 come from

A: Given ,  A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through…

Q: (a) Explain how to perform the division 321 ÷ 5 using base-10 pieces. (b) Write the result of the…

A: 1) To perform the division 321÷5 using base-10 pieces. The number 321 is:

Q: 5 divides n -n whenever

A:

Q: Represent 9/17 as a sum of distinct unit fractions without repetitions using the splitting method…

A: Step:- 1 Given that 917 Using Splitting Method:- Let  a=917;and  a=917×22=1834 Now, splitting 18…

Q: 10. Find the whole numbers between 100 to 990 d. which is divisible by 4.

A:

Q: 2. Find the distance between 1/3 and 5/7 on the number line.

A:

Q: Show that 19 divides 10*8n-1 + 33n-1 for every positive integer n.

A: Concept: Mathematical induction: For each and every natural number n, mathematical induction is a…