When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder when 9n is divided by 8 ?

Q: Which number has a digit 9 with a value 100 times as much as the 9 in 46,391.2 ?

A: Note: according to our guidelines we can answer only first question

Q: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

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Q: When multiplying and dividing integers with different signs the answer will be

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Q: how many positive integers less than 150 with a remainder of 3 if divided by 7?

A: To find number of positive integers less than 150 with a a remainder of 3 if divided by 7

Q: the largest of 81 consecutive integers is 327, what is the smallest

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Q: If 2* = 4" and 8" = 16°, find

A: If ax = ay , then comparing both side we will get x=y. We will find the relationship between x, y, z…

Q: What is the length of −3a if ||a|| = 5?

A: Given that a=5 we need to find the length of -3a. Recall that the length of a vector v is given by…

Q: If a number is added to the numerator of 3/10, and twice as much is added to the denominator, the…

A: Let the added number be x. And the given fraction is 310.

Q: How are integers the same/different from the numbers we learned in elementary?

A: Elementary number theory is the study of number and in particularly the set of all positive…

Q: When the smallest of three consecutive odd integers is added to four times the largest, it produces…

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Q: The formula N= 3x² + 5x + 1 represents the number of households N, in thousands (i.e. if the number…

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Q: I am thinking of a number that has a remainder of 16 when divided by 65. What is one possibility for…

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Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: what will be the remainder in 52020 is divided by 6?

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Q: The prime factorization of two numbers are given as 24 x 5 and 23 x 3 x 5 What is Least Common…

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Q: What is the smallest positive integer that has 6, 8, and 10 as factors?

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Q: Which pair of integers have a product of -30 and a sum of -13?

A: Let x and y be the numbers.

Q: 1) The sum of three consecutive even integers is 768. Find the integers.

A: Solve to find the integers

Q: A student was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12…

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Q: What numbers satisfy the condition: Eight more than nine times the number is at most 62?

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

Q: Find all integers that leave a reminder of 3 when divided by 5,5 when divided by 7 and 7 when…

A: The given problem is to find all the integers that satisfies the given conditions. We have to…

Q: What happens is that the product of an unknown number and 10 is added by 3. The result is equal to…

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Q: A fraction is said to be _____ when the numerator and the denominator have no common factors other…

A: Here we have to fill the blank;

Q: In a GP the 6th term is 16 and the 3rd term is 128. Find the sum of the first 10 terms and the sum…

A: A geometric progression or a geometric sequence is a sequence of non zero numbers, where each terms…

Q: What’s the integer for 4?

A: Given data:: The given number is n=4.   An integer can be defined as the whole number that can be…

Q: Suppose a pizza was cut into eight slices of equal size. If Peter got three slices and Janice got 1,…

A: see  below the answer

Q: he difference of two negative Integers Is not necessarlly negative.

A: ¬∀x<0,∀y<0,x-y<0

Q: What power of 10 can you multiply both 1.20 and 0.20 by to get a whole number?

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Q: A student  missed 40 problems on a physics test and received a grade of 47%. If the problems were of…

A: Given that the student missed 40 problems and received a grade of 47%.Let x be the number of…

Q: The product of any four consecutive integers is divisible by 24.

A: We will use basic knowledge of integers and congruences to solve this question.  The question says…

Q: Whats the product of 5 consecutive odd integers with product of 675

A: Let 5 consecutive odd integers are   1, 3, 5, 7, 9 We want to calculate the product of these 5…

Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: Find the positive integer which leaves the remainder 2, 3, 2  when it is divided by 7, 9 and 11…

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Q: A boy imagined five positive integer numbers and told his friend that the sums of four out of tive…

A: Let the five integers are a, b, c, d, e   Given that the sum of four out of given integers are 186,…

Q: A two digits number is obtained by either multiplying sum of the digits by 8 and adding 1 or by…

A: Form the system of two equations and two unknown and solve them to get the answer.

Q: The sum of two integers with diff fit this description. 10

A: Given : To determine the two integers that will fit the condition            +          = -10

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 & x4≥6.

Q: Fidn Three consecutive odd integers so that theee times the sum of the first as well as the third is…

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Q: Which of the numbers are divisible by 3? Determine the remainder when the number is divided by 3.…

A: To check divisibility by 3: 51,668,987 85,382,212

Q: On their anniversary, Mady brought a box containing n dark chocolates bars with n less than 250. The…

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Q: If a number is added to the numerator of (3/4) and twice the number is added to the denominator, the…

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Q: Use the multiplication principle to solve the problem.How many different 7-digit phone numbers are…

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Q: What number could be added to the product of (-7)(-6) so that the sun is equal to 27

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Q: If the denominator of (9/16) is increased by a number and the numerator of the fraction is doubled,…

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Q: A two digit number is obtained by either multiplying the sum of digits by 8 and then subtracting 5…

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Q: Find all integers that leave a reminder of 2 when divided by 5, 3 when divided by 7 and 7 when…

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Q: A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A: Using the rules of Geometric progression we can solve for the statement

Q: A student imagined one number.2 is written to the right side of the number and 14 is added to the…

A: We can solve for the given question using elementry operations. We can write a number in the form…