A collection of books is set up into 34 rows. The first row has 96 books, and each row after that one has 2 less books than the preceding row. (a) How many total books are there in the structure and (b) how many books are in the 17th row?

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A: Consider the word "MAILBOX" Given: "ILB"  must remain together (in order) To find: The number of…

Q: In a football league, each team plays each of the other teams twice during the season, once at home…

A: Here we will going to use basic concept of Combination.

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A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

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A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the…

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A:

Q: Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be…

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Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: (i) Determine how many rows are in the corner section of a stadium containing 3920 seats if the…

A: the total number of seats in the stadium are 3920  the first row has 10 seats,  The second row has…

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A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

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Q: A theater has 25 seats in the first row and 35 rows in all. Each successive row contains one…

A: From the given information, it is observed that First row - 25 seats 2nd row - 26 seats.  (25+1) 3rd…

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A:

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many…

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Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

A: given digits;  0, 1, 2, 3, 4, and 5 total number of digits = 6 number of four-digits numbers can be…

Q: Telephone poles are being stored in a pile with  25 poles in the first layer, 24 in the second, and…

A: Explanation: According to the question:  In a pile,  1st layer contains = 25 poles 2nd layer…

Q: an auditorium has 45 seats in the 1st row, 52 seats in the 2nd row, 59 seats in the 3rd row, and so…

A: Given 45,52,59,............ To find : Number of seats in 35th row Given expression is in…

Q: A virus spreads through a network of computers such that each minute,25% more computers are…

A: This can be found by exponential growth : y=a(1+r)x a= initial value = 1 computer r=25%=0.25 x=1…

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Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in…

A: The given problem is regarding arithmetic progression series. First-term is given. A common…

Q: Determine how many rows are in the corner section of a stadium containing 3920 seats if the first…

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Q: An employee at a construction company is ordering interior doors for some new houses that are being…

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Q: Assume that there are 8 girls and 12 boys in the neighborhood club, and a team of 6 is to be…

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Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 8 is to be…

A: It is the question of permutation and combination. And the whole solution is shown below.

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A: Given that the computer use has downloaded 15 songs using an online file-sharing program and wants…

Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins.…

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Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

Q: Assume that in a university with 1000 students, 200 students are taking a course in mathematics, 300…

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Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…

Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

A: Total number of rows = 26Increment in each row = 2So, starting from the first row, we have 30 seats,…

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: | Suppose 10 ducks and 6 geese line up in a single row. In how many ways can they line up so that no…

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Q: A fence is composed of x posts, each of which is 4 cm wide. If there is 6 cm of space between each…

A: The solution is given below.

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

A:

Q: A student needs eight more classes to graduate. If she has met the prerequisites for all the…

A: Given ,A student needs 8 more classes to graduate.

Q: The board of an Internet startup company has thirteen members. If one person is to be in charge of…

A: To find: How many ways can the two positions filled.

Q: How many unordered sets are there of four items chosen from eight

A: According to the given information in this question We need to find the value of C(8,4)

Q: If n EN and n < 2000, how many numbersn have the property that the sum of the digits of n and the…

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Q: How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

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Q: If a cube had been rolled 200 times, how many times would you expect a sum of 2 to be rolled?

A: From the table, we see that the sum of 2 rolled 3 times. In the table total number of rolls= 3+2+…

Q: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: Red and blue ceramic tiles are laid according to a pattern such that for every 22 red tiles used, 3…

A: Given that there are total 300 ties of Red and blue colour .according to pattern every 22 red…

Q: The first row of a conference hall has 8 chairs and 2 additional chairs in each subsequent row. How…

A: The number of chairs in the rows form A.P with first term 8 and common difference is 2 that is, We…

Q: A troop of 17 monkeys store their bananas in 11 piles of equal size, each containing more than 1…

A: To solve the given question first form system of congruences. then by appropriate method we will…

Q: A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens…

A: we have been given the information that  out of 50 eggs, only 45 are marketable