A collection of dimes and quarters is retrieved from a soft drink machine. There are five times as many dimes as quarters and the total value of the coins is $27.75. Find the number of dimes and the number of quarters.

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Q: The difference of twice a number and 8 is greater than −22.

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Q: One aircraft has a capacity of 78 more seats than a second aircraft. A third aircraft has 105…

A: One aircraft has a capacity of 78 more seats than a second aircraft. A third aircraft has 105 seats…

Q: A number increased by 5 is equivalent to twice the same number decreased by 7.

A: Given: A number increased by 5 is equivalent to twice the same number decreased by 7.   To find: The…

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Q: Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as…

A: Let tori spend 'x' dollars

Q: The sum of twice a number and five is 14.

A: Solving from the given data we have

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Q: A stack of $20, $50, and $100 bills was retrieved as part of an FBI investigation. There were 46…

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Q: A collection of pennies and nickels has the value of $1.59. There is one more than twice as many…

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Q: Peter and Dan shared some beads. After Peter gave away of his beads and Dan gave away - of his…

A: It is problem of single variable

Q: A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions. How…

A: Given:A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions.…

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Q: Rachel took a two-day road trip last weekend. She drove 65 miles less on Sunday than she did on…

A: Let x be the number of miles Rachel drove on Saturday and y be the number of miles Rachel drove on…

Q: Four times the sum of a number and three is equal to 16

A: Let the number is x.  The Sum of the number and 3 is given by (x+3) Four times the sum of a number…

Q: Faye takes a bath every day, and each time she uses 39 gallons of water. Over 6 days, Faye also uses…

A: Please find the total number of gallon of water Faye used in 6 days to take bath and then add it…

Q: A box contains only dimes and quarters. The number of dimes is three less than twice the number of…

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Q: Eight times a number increased by 9 is the same as 15 more than 7 times the number. Find the number.

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Q: two times the sum of a number and 3 equals 5   Is this written as : 2x+3=5

A: Two times the sum of a number and 3 equals 5.

Q: four times the sum of some number and 3 is equal to 8 times the number minus 12

A: Let some number is n Now, we get 4n+3=8n-128n-4n=3+124n=15n=154

Q: One month, rusty worked six more hours than iris, and Steven worked 4 times as many hours as rusty.…

A: see below the answer and explanation

Q: Ben had 5 times as many marbles as Caleb at first. After Ben gave away 87 marbles and Caleb won 13…

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Q: A minor league baseball park has 6800 seats. Box seats cost $19, grandstand seats cost $9, and…

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Q: The quotient of a number and 9 is less than the sum ofa number and 6.

A: let the number = x

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Q: A textbook store sold a combined total of 317 sociology and psychology textbooks in a week. The…

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Q: Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5…

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Q: If the difference of a number and ten is doubled, the result is nine more than the number.

A: Let A be the number.

Q: A number added to three is the same as four times the number

A: To find the number.

Q: Twice a number increased by 8 is 4 less than three times the number. Find the numb-

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Q: Three times the sum of a number and  7  is  4 .

A: The given statement is "Three times the sum of a number and 7 is 4"

Q: A minor-league baseball team plays 93 games in a season. If the team won 17 more than three times as…

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Q: Ana has five more pieces of candy than Gabe. The sum of twice the amount of Gabe's candy and ten…

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Q: The sum of four times the number of Mandy's dolls and twice the number of her teddy bears is 26. She…

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Q: The product of a number and a number increased by three is 28. Find the two numbers.

A: Let's say first number is x and second number is x+3

Q: Nicole, Chau, and Jim have a total of $69 in their wallets. Nicole has $5 less than Chau. Jim has 2…

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Q: Sarah has 3 more than twice as many books as George. If Sarah has 13 books, how many books does…

A: Since, it is given that Sarah has 3 more than twice as many books as George.Given that Sarah has 13…

Q: One-third times a number less four equals twice the number added to eight.

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Q: A mixture of 16 % disinfectant solution is to be made from 14 % and 21 % disinfectant solutions. How…

A: Let x gallons of 14% solution and y gallons of 21% solution is needed.

Q: There are nickels, dimes and quarters in a bag with a value of $3.75. If there are a total of 40…

A: Given Data: The total number of coins in the bag is: N=40 coins The total amount of money in the bag…

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Q: Last year, Jim had twice as many acres as Fred but over the course of the year Jim sold 300 acres…

A: Topic:- Algebra  Note:- as per our guideline if more than one question uploaded than only first…

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Q: During one week and Jessica's fantasy football team, Miles Ahead earned eight more points than twice…

A: Let the points earned by Jake Smith is x then the points earned by Miles will be 2x+8 It is given…

Q: the sum of three times a number and twelve is five times that same number

A: Answer is 3a+12=5a

Q: There are 650 students in a school. If the number of girls is 106 more than the boys, how many boys…

A: It is given that the total number of students in a school is 650.Let consider the number of boys be…

Q: A mixture of 16% disinfectant solution is to be made from 14% and 22% disinfectant solutions. How…

A: Let x gallon of 14% were used. So, (16-x) gallons of 22% are needed. Because total amount is 16…

Q: In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6.…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.