The sum of five consecutive natural numbers is 145. What is the middle of these numbers? О 28 О 27 O 29 О 30

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM"

A: Combination : Combination is an way of arranging the possible objects from a set of objects . Where…

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: Given data: The total numbers are n=7. Case-1 The total 3 digits numbers that can be formed from the…

Q: If we make a list of any four consecutive Fibonacci numbers, twice the third number minus the fourth…

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Q: In order to create a PIN to access your tablet, you have to choose six digits (where your choices…

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Q: Ms. Ling has 16 boys and 14 girls in her third-grade class. How many ways can she select 2 boys or 2…

A: Ms. Ling has 16 boys and 14 girls in her third-grade class. We want to find how many ways can she…

Q: In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many…

A: Given :  Number of digits in telephone number = 7 First three digits are 350. Last four digits…

Q: A license plate is to consist of 4 digits followed by 2  uppercase letters. Determine the number of…

A: Solution-: Given: A license plate is to consist of 4 digits followed by 2  uppercase letters. We…

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

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

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Q: How many 6 digit telephone numbers can be formed if each number starts with 23 and no digit appears…

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Q: If the sum of two counting numbers is an even counting number, then the product of the two counting…

A: Suppose the two counting number is 5 and 5

Q: How many telephone numbers have no repeated digits?

A: Given, A telephone number consists of seven digits which is combination of {0,1,2,3,4,5,6,7,8,9}.

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

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Q: (a) How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5.6 and 7, if each…

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Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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Q: What is the number of 3 letter words can be made with the letters in the word 'OMAN'?

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Q: how many odd 3-digit numbers can be formed from 0, 1, 2, 3 and 4?

A: The digits used to make the odd number are 0, 1, 2, 3, 4.

Q: 2. There is a total of 150 $20 and $50 banknotes in a box. If their total value is $5550, find the…

A: First make equation with the given information and then solve for the variables.

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

A: Given: Numbers used = 2, 3, ,4, 5, 6 Numbers greater than 530 is required to be found. No digit is…

Q: You have an ID number containing from 9 digits. How many IDs get the 1. number "6" as their second…

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Q: If the sum of the first n even natural numbers is 420, find the value of n

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Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

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Q: What is the sum of all 13-digit numbers?

A: What is the sum of all 13-digit numbers?

Q: How many digits should be removed from a 1000-digit number 2008... 2008 such that the sum of…

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Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

A: There are 10 digits including zero. The first number should be 4. It is given that the 2nd to 6th…

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

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Q: An expiriment requires a sequence of three steps. THe first step can result in three possible…

A: Consider the given information.

Q: One person starts a rumour about how awesome math is. That person tells 8 people in about 1 hour. If…

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Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: The number of 3-digits numbers that can be formed without repetition from the numbers 2.3.5.7 and 8…

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Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

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Q: A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different…

A: We have given that, a license plate consist of 2 letters followed by 5 digits. We have to find no.…

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

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Q: We can issued (100000) different mobile SIM cards in the market if each of them consists of 10…

A: Here we have to fill 10 digits using available 10 digits.We have to fill first three places by…

Q: What is the sum of all positive integer multiples of 5 less than 1000? In other words, what is the…

A: We solve the problem by following step.

Q: The total number of 3-digit numbers, whose sum of digits is 10, is

A: Let xyz be the three digit number.  Among the three numbers x cannot be less than one as it would…

Q: From 7 consonants and 5 vowels, how many words can be formed consisting of different consonants and…

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Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: If the 3 digited number is greater than 300, then it will start with the numbers 3, 4, 5, 6, 7, 8.…

Q: What is the smallest sum possible sum of 25 consecutive positive integers which s a perfect square?

A: Let's take the 25 consecutive positive numbers as an Arithmetic Progression with first term a.…

Q: What is the sum of the first 64 consecutive odd numbers

A:

Q: Each student at State University has a student ID number consisting of five digits (the first digit…

A: Solution: From the given information, a student ID number consisting of five digits followed by two…

Q: What is the sum of the first 4 prime numbers greater than 35?

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Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits:  0 2 4 6 8 to find :  how many number greater than 60, 000 can be formed also…

Q: A special plate number is made up of 2 letters of the vowel followed by 3 digit numbers. How many…

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Q: On the Illinois state tax form, numbers are to be rounded to the nearest dollar. If Heather earned…

A: To round off the $8265.53 to the nearest dollar.

Q: What is the sum of the first 9,000 positive integers

A: topic - arithmetic sequence answer is 40504500

Q: If the sum of n successive odd natural numbers starting from 3 is 48 , Find the value of n

A: