58. The integer k is the product of four different prime numbers. If k divided by 22 is a multiple of 13, which of the following could be equal to k divided by 11?

Q: 2. Perform the indicated Integer operations. -2+(-3) = -4-(-5) = 1- (-2) +2 (-3) 2 (2-4) + (-4) 2-8=…

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Q: 13. Where are these numbers on a number line? Number Sign a. 5.7x1044 Left of zero b. -3.8×10-8⁹…

A: Solution:-

Q: 4. Once simplified, which of the following results in a prime expression? Check all that apply. W…

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Q: 3. A mountain is 15,967 feet above sea level, and a valley is 257 feet below sea level. What is the…

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Q: 13. Prove that if the sum of digits of a number is divisible by 9, then so is the number.

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Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: If M = 24a-2b-3c5 and N = 18a 7b6c-4, then =? M

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Q: Prove: The sum of an odd number of odd numbers must be odd.

A: Let us prove this by induction, that if n is odd and a1,a2,. . .. .an are odd, then ∑i=1nai is odd.…

Q: How many different numbers which contain from thr an be formed from the digits A, B, C, D and E. and…

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Q: You are competing against all other students in your class. Each of you will choose an umber…

A: Given:    Among these student choose a number(integer) between 1 and 100. And also,    The choices…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

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Q: 1. Say whether the following is true or false and support your answer by a proof. (3m N) (n = N) (3m…

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Q: If the first even integer is 4, then what will be next three consecutive even integers ? O 5, 14, 10…

A: In the question it is asked to represent next three consecutive even integers after even integer 4.

Q: Consider the two-digit positive integers 10, 11, 12, ., 99. How many positive two-digit integers are…

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Q: 27. How many 3-digit odd numbers can be formed from 0, 1, 2, and 4 if the digits cannot be repeated?…

A: To find- How many 3-digit odd numbers can be formed from 0, 1,2, and 4 if the digits cannot be…

Q: When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer, the…

A: We can use concept of HCF to solve the problem

Q: How many integers between 100 and 999 inclusive are multiples of 13?

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Q: 3. Consider the numbers A and B below. A = 235 × 512 × 7²1 B = 223 x 37 x 732 (a) Consider the…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

A: How many distinct four-digit integers can one make from the digits 1,3,3,7,7, and 8?

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: The three-digit number 2A4 is added to 329 and gives 5B3. If 5B3 is divisible by 3, what is the…

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Q: [The answers of the following questions(i,ii,i and iv) are integers.ONLY the answer in a form of an…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: how many 4 digit numbers can be formed from 3 2 7 6 0 4 9 if the number is greater then 4000 and…

A: Given digits is3,2,7,6,0,4,9Total no.of digits = 7

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

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Q: _8. A number that can be written as {a/bsuch that a and bare integers and b + 0} is called A.…

A: In this question, we need to identify the correct option.

Q: What 3-digit number has the number 5 as its digit in the tens place and the digit in the hundreds…

A: The digit in the tens place is 5. Consider the number is x5y. The digit of the hundreds place is…

Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

A: The possible outcomes for event A are {2,4,6,8,10,12,14} i.e 7 outcomes The possible outcomes for…

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: 31. How many two digit combination can be formed using digits from 0 to 9? * 041 0 43 0 45 0 47

A: To find: Two digit combination formed using digits from 0 to 9. Formula used: Crn=n!n-r! r!…

Q: 12. When you raise a positive whole number to a power that is a negative integer, you get a negative…

A: given,