Find the least amount of different numbers to pick from positive integers that are at most 100 to guarantee two pairs of numbers that add up to 101.

Q: Find the greatest number which divides 110 to leave a remainder of 2 and the same number also…

A: According to the question, If we subtract 2 from both 110 and 62 then our required greatest number…

Q: There are 40 pieces of candy in Josh's bag. If - of the 8 candy are bags of M & M's, how many bags…

A: Given there are 40 pieces of candy in Josh's bag. 18 of the candy are bags of M & M's. We have…

Q: When a carton of apples were packed into bags of 4, there would be 3 apples left over. When the same…

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Q: If the largest of 58 consecutive integers is 529, what is the smallest? Write your answer in the…

A: There are 58 consecutive integers. Largest number is 529. That is 58 th observation is 529.

Q: Find a20 for the sequence of positive 3-digit numbers that are multiples of 8.

A: The first three digit number divisible by 8 is 104.

Q: There are 206 people who have signed up for cooking classes. If there will be 8 people in each…

A: There are 206 people who have signed up for cooking classes. If there will be 8 people in each…

Q: Determine three consecutive whole numbers where two times the smallest number is added to the middle…

A: Let a is the first number. So three consecutive whole numbers are a, a+1, and a+2. Two times the…

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

A: Please see the below picture for detailed solution.

Q: the Farmes, Sings, and the Smiths live in houses with numbers that are consecutive even integers…

A: Assume that Farms,Sings and the Smiths live in houses with numbers x-1,x,x+1 respectively.It is…

Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: e workers could do a job in 20 days. Six workers started the job. How many workers should be…

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Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

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Q: Put the numbers 9, √49, and 512 in order from least to greatest. Explain how you know which order to…

A: Topic = Algebra

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

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Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Given that, the track team has 20 members and will be sending 5 members to the next competition.

Q: List all the rational numbers in the set:

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Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…