. 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 class has 32 students.  18 have hats, and 17 do not wear glasses.  5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: 1. Divide: 1296 + 4

A:

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: the store received 54 new books to place on 6 displays. The same number of books will be placed on…

A: To find out how many books will be placed on each display, you can divide the total number of new…

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: A particular theater has 48 rows of seats. An usher monitors rows 17 through 32. He notices that the…

A: Given that, A particular theater has 48 rows of seats. An usher monitors rows 17 through 32. He…

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 14…

A:

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: Starting from your apartment, you drive 6 blocks east to the grocery store, then 5 blocks north to…

A: Given,Starting from your apartment, you drive 6 blocks east to the grocery store, then 5 blocks…

Q: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: A cereal company is deciding which box to use for their new line of cereal. The first box has a base…

A: Dimensions of first box:  length=6.5 inches, width= 2 inches, and height=10 inches. Dimensions of…

Q: 38) A wedding planner purchased both small and large lanterns for a wedding reception. Each sm…

A:

Q: Mrs. Martino is shopping for a backyard barbecue. She buys 6 lbs. of hamburger pattles at $2.89 a…

A:

Q: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

Q: nt the trees in a row, assuming that the trees are evenly spaced? e trees can be planted in…

A:

Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: $67. Four regular and four jumbo orders of wings cost $64. Determine the cost of a regular order of…

A: We have to find the cost of regular order of wings as well as the cost of jumbo order of wings by…

Q: A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border…

A: Given,no.of oak trees=4no.of maple trees=8no.of poplar trees=6Total no.of trees=18

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 large auditorium has 90 rows of seats. The first row has 50 seats, and each succeeding row has 5…

A:

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: There are twelve players on the basketball team roster. Coach Chapman needs five players at a time.…

A: Given that there are total 12 players. The coach will pick a group of 5 players. Since the order…

Q: The members of Mrs. Grant’s class are given a number and standing in a circle; they are evenly…

A:

Q: For a new sale a store created a large pyramid display with boxes of cookies. There are 68 cans on…

A: The sequence of the number of boxex of the cookies is 68, 65, 62,  ... , 2. They are in arithmetic…

Q: Jean-Luc likes to run errands on Saturday mornings. He leaves his house at 10 a.m. and first heads…

A:

Q: f a shelf contains 4 rows of 13 stacks of 10 boxes of product, how many boxes of product are on the…

A: We can find the number of boxes of product as below.

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.