4-1a #14 Classify each of the following statements as true or false: a. If every digit of a number is divisible by 3, then the number is divisible by 3.  b. If a number is divisible by 3, then every digit of the number is divisible by 3. Give examples A problem solving approach to Mathematics for elementary school teachers

Q: Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid…

A: We need to find the total number of valid passwords with given restrictions. The solution is given…

Q: Perform each of the following computations. a. 363 3 eight - 67 eight b. 421 eight - 42 eight a. The…

A: (a) We see,         363eight = (3×82 + 6×8 + 3)ten                        = 243ten           67eight…

Q: Using the digits 0,1,2,....8,9 determine how many of each type of the three-digit number can be…

A: Given digits 0, 1, 2, ............., 8, 9 Any three digit number with zero at its first place…

Q: In how many ways can the world " mount " be arranged

A: The given word is ‘mount’.

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

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Q: Thank you so much!

A: From the previous example every character is shifted by p units where p is an integer. Let x be the…

Q: I notice I didn't put letter c. in this problem.  c. A number is divisible by 3 if, and only if,…

A: part c) given  c. A number is divisible by 3 if, and only if, the sum of its digits is a multiple of…

Q: can you help me understand how to come up with the given solution to this problem?

A: Given DataThere are 4 letters A,B,C and DTotal number of possible codes is equal to total number of…

Q: John owns a small Internet company and offers his clients three different formats for the name part…

A: Given that , Format for Name part of email address = 3 Format for Domain part of email address = 7…

Q: Rewrite the following statement using scientific notation. The number of different 8 character…

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Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

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Q: Question 5 Adriana's income last year was $56,700.  If Medicare is taxed at a rate of $1.45 tax per…

A: Here we have to find the Adriana's total Medicare tax for last year.

Q: License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can…

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Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

Q: solved it Rewrite the statement in if-then form in two ways, one of which is the contrapositive of…

A: Being divisible by 3 is a necessary condition for this number to be divisible by 9.

Q: There are 12 black socks, 15 dark brown socks, and 20 dark blue socks in a drawer. It is dark and…

A: In a drawer, The number of Black Socks = 12 The number of Dark Brown Socks = 15 The number of Dark…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A: Given, the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one such…

Q: Similar to the last problem, let a = 5¹¹ and b = 5¹¹ - 54. Suppose there are two groups of people,…

A: Each member of group A has exactly  dollars.Each member of group B has exactly  dollars.Total number…

Q: If a number is divisible by 6, then it is divisible by 2 and 3.  If a number is divisible by 2 and…

A: Solution: We can determine whether the given statements are true or false by using divisibility rule…