Show that, given a 7-digit number, where all digits except perhaps the last is non-zero, you can cross out some digits at the beginning and at the end such that the remaining number consists of at least one digit and is divisible by 7. For example, if we take the number 1234589, then we can cross out 1 at the beginning and 89 at the end to get the number 2345 = 7 x 335.

Q: TRUE or FALSE: 1. (3141, 1592) = 1 2. The LCM of 2b and 3b^2 is 6b 3. The complete set of positive…

A: 1) (3141, 1592)=1 2) The LCM of 2band 3b2 is 6b. 3) The complete set of positive factors of 24is 1,…

Q: Suppose a certain number when divided by 13 yields a remainder of 7. If we add 22 to our original…

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Q: Which one is greater 99100 or 10099 ? No calculators please! Must justify your answer.

A: To find  Which one is greater 99^100 or 100^99.

Q: Construct addition and multiplication tables for Z,.

A: See the solution below.

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: Using the digits 2 through 9, find the number of different 6-digit numbers such that: a. Digits can…

A: Answer:- Given digits are -  2,3,4,5,6,7,8,9  Total number of digits= 8

Q: For each of the pairs of numbers that follow, find a number in between the two numbers.  Label the…

A: Given numbers are 12.54 and 12.541Using formula, a+b2 to find the number in between 12.54 and…

Q: Suppose a city's population is 740,000. If the population grows by 12,620 per year, find the…

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Q: The product of an even number and any other number is even.

A: The product of an even number and any other number is even.

Q: Can an even number, divided by another even number, times another even number ever equal an odd…

A: The objective of the question is to determine whether the result of an operation involving only even…

Q: Find the exact value of x. 9V2 9V2

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Q: Some students have difficulty comparing decimals with 0 or comparing decimals that have zeros in…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: Is this answered correctly? It’s asking to multiply

A: The given polynomial expressions are,

Q: Any n consecutive integers will include a number that is divisible by n.

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Q: Find the missing digit in the number 1234x34780 if we know this number is a multiple of 9

A: Introduction: If the remainder is zero, a number is said to be divisible by another number.…

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

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Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: the name of a 4-bit word.

A: To find the name of a 4-bit word.

Q: ome reason the correct answer is 50178

A: Mean (μ) = $43,000 Standard Deviation (σ) = $5,600

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

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Q: A realtor uses a lock box to store the keys to a house. The access code for the lock box consists of…

A: A permutation is the arrangement of elements. For example, three persons viz. A, B and C can be…

Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

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Q: At the entrance to one of the residence halls on campus, the residents can choose to enter one of…

A: The null hypothesis is a simple statement about the value of the population parameter which is…

Q: club of 10 people wants to choose an executive Doard consisting of presiden and three other…

A: Given data,Number of people n=10Number of board members r=6In how many ways it can be done?

Q: Compute P9,2. (Enter an exact number.)

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Q: If x can be replaced by any number, how many different values can x + 3 have? 0 1 3 4 Infinitely…

A: If x can be replaced by any number  We have to tell how many different values can x + 3 have

Q: Find the missing number  4/9=   /36

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