The first row of a conference hall has 8 chairs and 2 additional chairs in each subsequent row. How many chairs are in the 9th row? How many chairs in total are in the first 9 rows?

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A: The Diophantine equation is very important in number theory. It contains two variables and one…

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Q: A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees pläntec…

A: Given 24 trees per row1235 trees to plant

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Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40…

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

Q: What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a…

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Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: A coffee shop has tables that seat 6 guests and additional tables that seat 8 guests. If the total…

A: Let the number of tables that seat 6 guests = x Let the number of tables that seat 8 guests = y

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…

Q: A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets. How many different outfits can the…

A: Since it is given that the A girl owns 6 pairs of pants, 7 shirts, 6 ties, and 2 jackets.

Q: In a large garden consisting only of roses and tulips, $$76\%$$ of the roses and $$18\%$$ of the…

A: In a large garden consisting only of roses and tulips, 76% of the roses and 18% of the tulips are…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: The local newspaper has a letter to the editor from 10 people. if this number represents 2% of all…

A: let the number of readers does the newspaper have = x

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

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…

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: In a certain year, there were 86 female officials in Congress, which is comprised of the House of…

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Q: How many people can be fed with 10 1/2 pizzas if each person is to get 3/8 of a pizza?

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

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Q: During the bird flu, if 40 hens and 30 chicks died each day, there would still be 212 hens when all…

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Q: If 1/2 of a number, 1/3 of the number, 1/4 of the number, and 2/7 of the number are added together,…

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Q: The sum of three succeeding odd integers is 75. The largest interger is

A: Given that the sum of three succeeding odd inter is 75 To find the largest integer

Q: How many pairs to sum an even number or one greater than 9?

A: Please see the below picture for detailed solution.

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

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Q: A section in a stadium has 20 seats in the first row, 23 seats in the second row, increasing by 3…

A: A section in a stadium has 20 seats in the first row 23 seats in the second row increasing by 3…

Q: A movie theater has 180 seats. How many rows of seats does it have if the first row has 12 seats and…

A: Given,         A movie theater has 180 seats. The first row has 12 seats and each succeeding…

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

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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,…

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Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…

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

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Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

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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 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: From 7 consonants and 5 vowels, how many words can be formed consisting of different consonants and…

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Q: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

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Q: In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a…

A: This is a problem of conversion and counting. Interestingly reducing dimensions is another aspect of…

Q: There are 420 students who enrolled in an introductory engineering course. If there are five boys to…

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Q: From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5…

A: Solution: Given information: 5 men  4 women.   3 men can be selected from 5 men in 5C3 ways.  and 2…

Q: If 14% of the people in the school are 210 people, how many people are in the school?

A: 14% of the people in the school are 210  then find how many people means 100%

Q: There are 378 students who enrolled in an introductory engineering course. If there are four boys to…

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Q: Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books…

A: Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books…

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: There are some raisin and chocolate muffins in a pastry shop. If 84 raisin muffins are sold, - of…

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

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Q: If the first chapter of a certain book is 48 pages long and makes up 4% of the book, how many pages…

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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.