. Theater Seating An architect designs a theater with 15 seatsin the first row, 18 in the second, 21 in the third, and so on. Ifthe theater is to have a seating capacity of 870, how manyrows must the architect use in his design?

Q: A bag contains 3 lemon, 2 cherry, and 6 grape candies. A handful of 4 candies is grabbed from the…

A: At most 1 grape candy means 0 or 1 grape candy. There are 6 grape candies and (3+2)=5 non-grape…

Q: 17% of the students on campus have two jobs. There are 12,000 students on campus. How many students…

A: Given data is 17% of the students on campus have two jobs. There are 12,000 students on campus. How…

Q: A candy jar contains 3 cherry candies, 5 grape candies, and 8 strawberry candies. You randomly draw…

A: A candy jar contains 3 cherry candies, 5 grape candies, and 8 strawberry candies. A handful of 6…

Q: Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many arrangements were possible when they…

A: Number of total seats are 5. Number of person to sit are 5.

Q: Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and…

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Q: Example: In a college football training session, the defensive coordinator needs to have 10 players…

A: Given data,No of freshman=1No of Sophomores=2No of Juniors=4No of Seniors=3How many different ways…

Q: Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and…

A:

Q: In a class, there are 27 seats in the first row and 2 seats more in the following row. How many…

A:

Q: 16) A lecture hall has 11 rows of seats. The first row has 15 seats, and each row after that has 4…

A: It forms arithmetic progression use formula

Q: A pianist plans to play 3 pieces at a recital from her repertoire of 25 pieces. How many different…

A: As per given by the question, a pianist plans to play 3 pieces at a recital from her repertoire of…

Q: A farmer raises 65 animals on her farm. Some are pigs and some are chickens. If they have 180 legs…

A:

Q: OR TEACHER A stack contains $380 worth of paper money consisting of twenty-dollar bills and…

A: Given: A stack contains $380 worth of paper money which consists of twenty-dollar bills and…

Q: How many ways can five people, A, B, C, D, and E, sit in a row at a concert hall if A and B must sit…

A: Given: There are 5 people A , B , C , D , E These people will sit in a row

Q: A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people…

A: Total No. Of people = 200 Visited Grocery shop= 124 Visited Drug store =88  Visited both = 26 We…

Q: An auditorium has 45 rows of se auditorium, each row has 4 mor How many seats are in the row

A: Given, Total number of rows in auditorium = 45 The first row contains =70 seats To Find: (a) Number…

Q: A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third…

A:

Q: There are men and women at a meeting. There are 28 women. 30% of the people at the meeting are men.…

A: let total people in meeting are 100, the men =30% than women =100-30=70% than total people in…

Q: A stack contains $260 worth of paper money consisting of twenty-dollar bills and fifty-dollar bills.…

A:

Q: . Mail-Order Business. A mail-order lacrosse equipment business shipped 120 packages one day.…

A: A mail-order lacrosse equipment business shipped 120 packages one day. Customers are charged $3.50…

Q: Suppose a family has four children. Find the number of arrangements of exactly two boys.

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Q: Eggs are shipped from a poultry farm in trucks. The eggs are packed in cartons of one dozen eggs…

A:

Q: To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of…

A: Number of ways to choose a size = 3 Number of ways to choose a type of espresso = 10 Number of ways…

Q: A teacher is preparing materials for a group project. She has a package of 36 sheets of red paper…

A: Here we use factorisation method to perform this operation.

Q: ave a can that holds 16 cups of water and it is filled a quarter full I water11 plants so each plant…

A: Given that the can holds 16 cups of water and it is filled a quarter full.  To calculate the amount…

Q: Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no…

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

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: It is given that, there are 4 paintings and 5 vases.

Q: A park bench can seat 3 people. How many seating arrangements are possible if 3 people out of a…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: soccer team is playing a game in a stadium. The team fills a total of 592 seats on one side of the…

A: Given query is to find the number of rows used.

Q: A theater has 29 rows of seats. The first row has 18 seats, the second row has 22 seats, the third…

A:

Q: Jodi delivers 54 newspapers on Saturday and 78 newspapers on Sunday she makes bundles of 6…

A: Given: Jodi delivery newspaper on Saturday =54 Jodi delivery newspaper on Sunday =78 She makes…

Q: A theater has 27 rows of seats the first row has 24 seats the second row has 26 seats the third row…

A:

Q: A child has nine coins with a total value of 166 cents. What coins does the child​ have?

A: Total number of coins is 9  Value of the coins is 166 cents. We know that value of one quarter is…

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels…

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Q: A garden has 2 rows. The first row has 5 kinds of seeds. The second row has 4 kinds of seeds. In how…

A: We can use combinations to answer this question. The first row has five kinds of seeds and the…

Q: 6. 4 married couples bought 8 seats in the same row for a concert. How many different ways can they…

A: 4 married couples bought 8 seats in the same row for a concert ( a) without restriction ? (b ) If…

Q: Question Tickets of a program and college cost $3 for general admission $2 with a student ID. If…

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Q: If there are n persons, how many arrangements will be in a row? n! А. (п-г)! n! n!r! В. n! С. D. (n…

A: Given information- We have given that there are n persons. We have to arrange the n persons in a…

Q: In how many ways can 4 persons be seated in consecutive seats in a row of 7 seats? a. b. 72 54 C. d.…

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Q: The bookstore owner wants to display books in the front window of the bookstore with her bestselling…

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Q: a row of 4 seats; table. Q. A family has 3 boys and 2 girls. (a) Find the number of ways they can…

A: Family has 3 boys and 2 girls a) Number of ways they can sit in a row: There are 5 people, so there…

Q: Ani (the contractor) is to build eight homes on a block in a new subdivision, using two different…

A: Given:  Number of houses               = 8 Number of houses chosen   = 8 Number of identical houses…

Q: An auditorium has 32 rows of seats. The first row contains 90 seats. As you move to the rear of the…

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Q: Lindsay teaches 4 courses at his small college. The courses are College Algebra, Precalculus,…

A: The number of ways can arrange the College Algebra text books is, 2! The number of ways can arrange…

Q: A theater has 23 rows of seats. The first row has 19 seats, the second row has 21 seats, the third…

A:

Q: A theater has 23 rows of seats. The first row has 20 seats, the second row has 22 seats, the third…

A: find explanation below

Q: Students of a class are made to stand in rows .If one student is extra in row,there would 2 rows…

A:

Q: 4) A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses.…

A: answer 4

Q: A bottle of orange juice can fill five 200ml cups.Paper cups of the same size are sold in packs of…

A:

Q: There are two roads between town A and B.There are three roads between town B and C. How many…

A: Number of ways we can travel from A to B is n1 = 2 ways     Number of ways we can travel from B to C…

Q: In a jar of 40 coins, consisting of only dimes and quarters, there are one third as many quarters as…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.