An outdoor amphitheater has 35 seats in the first row, 37 in the second row, 39 in the third row, and so on. There are 37 rows altogether. How many can the amphitheater seat?

Q: Forty percent of the students in a math class have brown eyes. If there are 10 students with brown…

A: Given,         Forty percent of the students in a math class have brown eyes. There are 10 students…

Q: In the auditorium, there are 15 rows of 26 seats. For the assembly, 78 seats are reserved for the…

A: Total number of rows=15each row has seats=26

Q: At the dog park, there are several dogs with their owners. Counting heads, there are 12; counting…

A:

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

A:

Q: An office building contains 27 floors and has 37 offices on each floor. How many offices are in the…

A:

Q: An amphitheater has 15 seats in the first row and gains 4 additional seats in each successive row.…

A:

Q: How many 4 card hands are possible with a 48-card deck? The number of 4 card hands is

A: Possible number or 4 card hands with a 48-card deck is

Q: In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough…

A: Given data: The number of 10 seater table is 1. The number of 4 seater table is x. The total numbers…

Q: An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. a. How…

A:

Q: A visitor to a petting zoo notices there are a total of 20 llamas and chickens. She also notices…

A: In the petting zoo there are total 20 chickens and llamas. Consider that x represents the number of…

Q: Two couples​ (Adam/Brenda and​ Carl/Darlene) have bought tickets for four adjacent seats to see a…

A: Given,no.of women=2no.of men=2Total no.of people=4

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

A:

Q: How many 3 card hands are possible with a 28​-card deck? The number of 3 card hands is ___

A: Total cards = 28

Q: In his curry chicken recipe, Reynold uses 5 cups of curry sauce for every 7 people. How many cups of…

A:

Q: An amphitheater has 15 seats in the first row and gains 4 additional seats in each successive row.…

A: Sum of the Arithmetic Series is n(a1+an)/2. Here, n is the number of terms a1 is the first term an…

Q: A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs today. How many…

A: Given that  A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs…

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: In a bird sanctuary, 30% of the birds are hummingbirds. If there are about 350 birds in the…

A: In a bird sanctuary 30% of the birds arehumming birds. if there are about 350 birds in the sanctuary…

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

A: Given that First row has 25 seatsSecond row has 28 seatsThird row has 31 seats and so on.Total…

Q: A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A:

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: A concert hall contains 8 sections of seats with the same number of seats in each section if there…

A: Ans. 31

Q: a farmer plants 4 apple trees for every 3 pecan trees in the orchard. she plants two 2 peach trees…

A:

Q: A team of students lined up dominoes on the gym floor. Of the 400 dominoes they used, 25% fell over.…

A:

Q: Coco arranged 32 chairs in 4 rows. If each row has an equal number of chairs, how many chairs are in…

A:

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: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

A:

Q: There are 80 seats in the theatre. If 20% of the seats are occupied, how many seats remain…

A: To find number of seats remain unoccupied in the theatre

Q: The San Francisco School District services the Elementary and Middle schools in San Francisco. There…

A:

Q: in a dog park, there are 84 total legs. If there are 3 more dogs in the park than people, how many…

A: In a dog park, there are 84 total legs. If there are 3 more dogs in the park than people, We have to…

Q: Of 8 pups, there are more girls than boys. How many girl pups are there?

A: Let there are x number of girls and y number of boys. and there are total 8 pups, so x + y = 8…

Q: A book has 625 pages, David has red 132 of the pages, Ana has red 134 of the pages and Lucas has red…

A: Total number of pages (T.P)=625 Number of pages read by David (DP)=132 Number of pages read by Ana…

Q: Jim, Sanjay, Dean, and Shannon found seats in a row at the cinema. In how many different orders can…

A: From the given information, Jim, sanjay, dean and Shannon found seats in a row at the cinema.…

Q: An outdoor amphitheater has 37 seats in the first row, 39 in the second row, 41 in the third row,…

A: Given that 37 seats in first row ,  39 seats in second row and 41 seats in third row an so on ,…

Q: A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row…

A: Given:  Seats in first row= 30 Seats in second row = 32 Total number of rows = 26 To Find: Total…

Q: In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many…

A:

Q: Manuel has 18 bulbs to make a string of holiday lights. How many distinct arrangements can he make…

A: we want to find ways of arranging for given question

Q: In a school,there is an equal number of boys and girls. How many students could possibly be in the…

A: We have to find the possible number of students in class

Q: How many students participated in debate team?

A: It is given that Let, A represents number of students participated in maths club B represents number…

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: How many ways can 2 people sit in a row of 6 chairs? The number of ways 2 people can sit in a row of…

A:

Q: A company has recently been hiring new employees. Today the company has 35% more employees than it…

A:

Q: Among a town’s registered voters, there are 34% Democrats and 21% Republicans. The rest are…

A:

Q: An architect designs a theater with 18 seats in the first row, 22 in the second, 26 in the third,…

A:

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: Gauston Middle School has 267 students. Each cafeteria table holds 20 students. How many tables do…

A:

Q: 4. During the birthday party of Manuel, the caterer, uses 40 small square tables to make a long…

A: 4. Given, during the birthday party of Manuel, the caterer, uses 40 small square tables to make 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.