A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs. Find the total number of logs in the pile.

Q: A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many…

A: GivenA restaurant offersNo.of pizza sizes=4No.of crust ypes=2No.of toppings=8

Q: A band of 23 weary travelers entered a lush forest where they found 63 piles each of containing the…

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

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: A student downloaded 4 music files to a portable music player. in how many different orders can the…

A: If you like the solution then please give it a thumbs up.. The Answer is:       Different Orders =…

Q: A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many…

A: We have to find no. Of chairs

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

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Q: From 7 engineers and 4 scientists, how many committees of seven people are possible with 5 engineers…

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Q: There are 34 peanuts in each box. How many peanuts are in 7 boxes?

A: Let there are n items in one container . The total number of items in m containers is calculated by…

Q: There are 114 cities in the Philippines. If each city donated 12 sacks of rice to the victims of a…

A: Given:           Total number of cities in the philippines = 114           Each city donated sack of…

Q: How many total gifts are given in the song, "The Twelve Days of Christmas?"

A: On the first day she gets 1 gift   On the second day she gets 1 + 2 = 3gifts.   On the third day she…

Q: if 26,000 people make up 16% of a population, what is the total population? show how you get your…

A:

Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: Given   Three men and three women are to be seated in a row of chairs numbered 1 through 6.

Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

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Q: A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, 3 caps on the…

A: So basically the number of bottle caps in the next layer is just one more than the previous layer.…

Q: Determine the seating capacity of an auditorium with 15 rows of seats if there are 10 seats in the…

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Q: If 15 people all shake hands with each other, how many handshakes are there?

A: Number of handshakes = 15C2

Q: During four plays of a football game, a team gained 3 yards, lost 8 yards, gained 10 yards, and…

A: During four plays of a football game, a team gained 3 yards, lost 8 yards, gained 10 yards,and lost…

Q: A small ice cream shop has 12 flavors of ice cream and 8 kinds of toppings for its sundaes. How many…

A: 12 - Flavors of ice cream8 - Kinds of topping

Q: 1000 fishes were caught, tagged and released back into the water. A month later, out of 500 fishes,…

A: Let there are x fishes in the lake.  Given that 1000 fishes were caught, tagged.    After a month…

Q: In a group of 9 people, there are 4 females and 5 males. Determine the number of 4-member committees…

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Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

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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 drill sergeant lines up 92 soldiers in rows of 12, except for a partial row in the back. How many…

A: there are 7 rows excluding the partial row. and there are 8 soldiers in the back row.

Q: Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways…

A: GivenTotal no.of sprinters=5No.of medals = 3

Q: A person going to a party was asked to bring 2 different bags of chips. Going to the store, she…

A: Given: Total number of bags of chips is 10.

Q: A person going to a party was asked to bring 2 different bags of chips. Going to the store, she…

A: Given: Bags of chips to bring(r)- 2 Varieties(n)- 17

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

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

Q: 8 fencers compete in a fencing competition. If each fencer combats one match with each other fencer,…

A: Given data Total 8 fencers Each Fencer will compete with each other.

Q: 32% of the fruits at a stall are cherries, 28% of them are apricots. The remaining 240 fruits are…

A: Given 32% are cherries, 28% are apricots and the remaining 240 fruits are lychees. To find the total…

Q: How many matches are played in a badminton tournament of 27 players?

A: Sol

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: find the total number of arrangements of 6 books on a bookshelf if only 3 are used Find

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Q: There are 156 players on 13 teams. How many players are on each team? players

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Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: At a swim meet, there was a 100 m Butterfly race. If the race had 16 swimmers, how many possible…

A: From the information number of swimmers is 16 and the number of ways that first, second, third and…

Q: Each marble bag sold by Debra's Marble Company contains 5 red marbles for every 6 yellow marbles. If…

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Q: 96 pencils come in a box, if 4 teachers share 3 boxes equally ,how many pencils does each teacher…

A: Given that: Number of pencils in a box = 96 Total number of boxes = 3 Number of teachers = 4

Q: How many does 5 apple and 4 orange together ?

A: Consider the given information as Apple are 5 and orange are 4

Q: How many person are in a circular table if they make 24 arrangements?

A: Given , the person are in circular table make 24 arrangement . To find the number of person .

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: Each marble bag sold by Dale's Marble Company contains 5 yellow marbles for every 4 red marbles. If…

A: Given, Each marble bag sold by Dale's Marble Company contains 5 yellow marbles for every 4 red…

Q: Each roller coaster car holds 3 people. How many people seated in 2 cars? are

A: If an objects contains n number of things, then the total number of things in m of such objects is…

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

A:

Q: A person going to a party was asked to bring 5 different bags of chips. Going to the store, she…

A: Given : A person going to a party was asked to bring 5 different bags of chips. Going to the store,…

Q: A print shop ordered 9 shipments of newsprint. There were 8,578,117 sheets of newsprint in each…

A: Given that the print shop ordered 9 shipments of newsprint.    1 shipment has 8,578,117 sheets.  9…

Q: A grocer has a triangular display of oranges in a window.  There are 18 oranges in the bottom row…

A: Number of oranges in the bottom row = 18

Q: For every 19 red tiles used, 8 blue tiles are used. If a total 567 tiles are used, how many of them…

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Q: A city currently has 125 streetlights. As part of a urban renewal program, the city council has…

A: Solution-: Given: A city currently has 125 streetlights. The city council has decided to install 2…

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

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.