An auditorium has 67 rows of seats. The first row contains 60 seats. As you move to the rear of the auditorium, each row has 6 more seats than the previous row. How many seats are in the 61 th row?    . How many seats are in the auditorium?

Q: A woman bought some large frames for $14 each and some small frames for $7 each at a closeout sale.…

A: To calculate the number of each type of frames.

Q: 1200 freshmen enrolled in a big university. If there are 50 more males than females. How many male…

A: We have to find number of male freshmen.

Q: A culture or bacteria triples by the end of each hour. If there were initially 40 bacteria in a…

A:

Q: Keith's dad is 23 years older than Keith. If the sum of their ages is 51, how old is Keith (k)

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Q: Ian is 75 years younger than Alejandra. 2 years ago, Alejandra's age was 4 times Ian's age. How old…

A: Let Ian is now x year old.∴According to the question,Alejandra's age is now (x+75) years2 years ago,…

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A:

Q: In a GP the 8th term is 384 and the 3rd term is 12. Find the sum of the first 10 terms

A:

Q: An outdoor amphitheater has 35 seats in the first row, 37 in the second row, 39 in the third row,…

A: The seats are increasing in order 35, 37, 39, ..........  which is arithmetic series with common…

Q: The perimeter of an isosceles triangle is 68cm. How many of such triangles can be formed if the…

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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: An auditorium has 20 rows of seats. The first row contains 100 seats. As you move to the rear of the…

A:

Q: An auditorium has 42 rows of seats. The first row contains 50 seats. As you move to the rear of the…

A: An auditorium has 42 rows of seats. The first row contains 50 seats. As you move to the rear of the…

Q: An auditorium has 49 rows of seats. The first row contains 100 seats. As you move to the rear of the…

A:

Q: A postal carrier can deliver to 130 houses in a 2.5 hour period. At this rate, how many hours will…

A: To find number of hours it will take to deliver to 312 houses.

Q: There are 64 dogs and cats at the pet store. If one out of every 4 animals is a cat, how many dogs…

A: Given Data: The total number dogs and cats at the pet store is: N=64 Let, The number of cats is x.…

Q: theater has 35 seats in the first row. Each row has four more seats than the row before it. How many…

A: For an arithmetic sequence, the common difference is calculated by subtracting two consecutive…

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

A:

Q: In a class of 60 students,each of the students passed either in mathematics or in science or in…

A: Given: Total number of students passed either in mathematics or in science or in both=60 Students…

Q: It takes a pump 10 minutes to move 55 liters of water up the hill.Using the same pump under the same…

A: We need to find the amount of water move in 22 minutes

Q: A theater has 36 rows with 26 seats in the first row, 30 in the second row, 34 in the third row, and…

A: We can find the answer as below.

Q: One of the buildings in a school has 30 classrooms. Each classroom has five rows of chairs. In each…

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Q: In a GP the 6th term is 972 and the 3rd term is 36. Find the sum of the first 10 terms

A: It is an important part of statistics. It is widely used.

Q: A section in a stadium has 24 seats in the first row, 28 seats in the second row, increasing by 4…

A: to find:- total seats.

Q: A farmer feed a cow 9300 milligrams of an antibiotic. Every hour, 50% of the drug breaks down in the…

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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: if Samantha ran 3003 miles in 7 days how many miles will she run in 3 days

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Q: A triangular brick wall is made by cutting some bricks in half to use in the first column of every…

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Q: person needs to fill 16 water jugs with a hose. Filling the first 4 jugs has taken 3 minutes. How…

A: As already 4 jugs are filled, we need calculate the time for filling remaining 12 jugs.

Q: culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a…

A:

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

A:

Q: A couple that has just had a baby boy has 3 first names chosen out and 4 middles names. If they…

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Q: books are arranged in a display that has 4 rows. each row has one more book than. the row above it.…

A: Books are arranged in a display that has 4 rows. Each row has one more book than the row above it…

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

A:

Q: farmer looks over a field and sees 34 heads and 102 feet. Some are pigs, some are geese. How many of…

A: ## let no of piegons = x   let no og geese = y

Q: An auditorium has 23 rows of seats. The first row contains 90 seats. As you move to the rear of the…

A: Given: An auditorium has 23 rows of seats . First row contains 90 seats  As we move to rear of…

Q: The Lee's have three children. The oldest is twice as old as the youngest. The middle child is five…

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Q: A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 45 seconds.

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Q: A new phone sells for $250 and a used one sells for $75. How many of each are sold if the sales for…

A: a new phone sells for = $250 a used one sells for = $75 total sale = $625 in this type of questions…

Q: Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how…

A: topic- linear equations

Q: Melly is three times as old as Ador. In 5 years, Melly will be twice as old as Ador. How old is…

A: Let Ador is x years old. So Melly is 3x years old. After 5 years Ador will be (x+5) years old  and…

Q: 3. Find three consecutive integers whose sum is 84.

A:

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: An auditorium has 33 rows of seats. The first row contains 90 seats. As you move to the rear of the…

A:

Q: In an amphitheatre, seats are arranged in semicircular rows facing a domed stage. The first row…

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: A theater has 12 seats in the first row. Each row, moving back, increases by two seats. How many…

A:

Q: Alcuin of York, 775. A hundred bushels of grain are distributed among 100 persons in such a way that…

A: Given that,A hundred bushels of grain are distributed among 100 people in such a waythat each man…

Q: If three numbers are added in pairs, the sums equal 10,19 and 21 . find the numbers

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Q: An auditorium has 31 rows of seats. The first row contains 40 seats. As you move to the rear of the…

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.