For recent years, the number of men in the senate totaled 6 more than 2 times the number of women. Find the number of men and the number of women in the senate given that the senate has 105 members.

Q: In a fruit stall, there were 7 more boxes of mangos than oranges. After receiving a delivery, the…

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Q: On a recent trip to the convenience store, you picked up 2 gallons of milk, 5 bottles of water, and…

A:

Q: Sabrina, Farouhar, and Fleur s are three friends who each have part-time jobs.  Last week, Sabrina…

A: Suppose, Farouhar earned $x  Then, Sabrina earned $2x  And, Fleur earned $(2x+25)

Q: At the movie theater, the total value of tickets sold was $2,612.50. Adult tickets sold for $10 each…

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Q: The sum of two numbers is 85 and their difference is - 15 What are the two numbers

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Q: A popular YouTube personality had 2,200 live viewers at the start of their show. Within ten minutes,…

A: Given Data: The number of viewers at the start of the show is: V=2200 The percentage of viewers…

Q: The sum of the ages of Shane and Tatiana is 96 years. 12 years ago, Shane's age was 3 times…

A: Let Shane's age=x years  Tatiana's age=y years According to question, x+y=96  .........(1) 12 years…

Q: The sum of the digits of a two-digit number is 8. If the ten’s digit is three times the one’s digit,…

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Q: On the opening night of a play at a local​ theatre, 912 tickets were sold for a total of $9128.…

A: Let x be the number of adult tickets, y be the number of children's tickets and z be the number of…

Q: When gas prices are $2.98 per gallon, the annual supply for gas in New York State is 131 billion…

A:

Q: The difference between two numbers is 4. Three times the larger number is 2 more than five times the…

A: The difference between two numbers is 4. Three times the larger number is 2 more than five times the…

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: There are two numbers which sum to 23. If one number is seven less than four times the other, find…

A: Given that the sum of two number be 23 & one number is seven less thanfour times the otherWe…

Q: A mixture of 4% disinfectant solution is to be made from 5% and 2% disinfectant solutions. How much…

A:

Q: The sum of two numbers is 2.  Three times the larger number plus two times the smaller number is 21.…

A:

Q: At the end of the season, the cost of a snowboard was reduced by 35%. If the snowboard sells for…

A: Please find answer in next step

Q: The sum of the ages of Dustin and Jacqueline is 74 years. 11 years ago, Dustin's age was 3 times…

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Q: A number multiplied by 8 divided by 4 gives 7 more than the number

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Q: The sum of two numbers is 45 and the difference is 9 what are the numbers  Large numbers: smaller…

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Q: f nine is subtracted from five times a number, the difference is four times the number. What is the…

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Q: The sum of two numbers is 11 and their difference is 5 . Find the numbers

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Q: . The larger of two numbers is 16 more than the smaller. When added together, the sum of the larger…

A:

Q: Two pumps are being used to fight a fire. One pumps 5000 gallons in 20 minutes, and the other pumps…

A: Since one pumps 5000 gallons in 20 minutes, therefore the flow rate of the first pump will be:…

Q: Two times the father’s age is 8 more than six times his son’s age. Ten years ago, the sum of their…

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Q: The field biologist was recording sightings of raccoons and deer in a neighborhood over the course…

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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…

A: Let the number of marbles Mark has is x Therefore the number of marbles Don has is 2x+5 The total…

Q: One number is six more than five times another number. If the sum of the numbers is 24, find the…

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Q: The sum of two numbers is 43 and the difference is 1. What are the numbers ?

A: Let two numbers be X and Y and let X is larger than Y. Since the sum of two numbers is 43, we get…

Q: A number is 8 more than another number. Twice the sum of the two numbers is 40. F numbers.

A:

Q: On a recent trip to the convenience​ store, you picked up 2 gallons of​ milk, 4 bottles of​ water,…

A:

Q: Joe and Nick had an equal number of coins at first. After Joe gave away 652 coins and Nick gave away…

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Q: The cost of a big tub dog treats is two times that of a small one plus 3 dollars. if a big tub of…

A:

Q: There are 20 Cub Scouts in pack 753. The number of scouts is 10 more than 2 times the number of…

A:

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: One number is 14 more than the other. If the sum of the two numbers is 82, find the two numbers.

A: Given one number is 14 more than the other .If the sum of two number is 82 .We find two number .

Q: Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season,…

A: Solution ) let x = number of 3 point field goals  So according to quetion  ( 2x - 50 ) = number of 2…

Q: At the start of last year, Jim owned 20 acres more of land than Annie did, but Jim sold 40 acres…

A: see below the answer

Q: This week, Jamyra spent a total of 100 minutes studying. This total was 20 more than four times the…

A: Let Jamyra spend 'x' minutes in studying last week.

Q: There are 13 Cub Scouts in Pack 785. The number of scouts is 1 more than 4 times the number of adult…

A:

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…

Q: Twice the product of two numbers is 418 and one-half their difference is 4. What are the numbers?

A: See the detailed solution below.

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: A brand of coffee beans cost 150 pesos per kilo, while the premium coffee beans cost 675 pesos per…

A: mixtures

Q: Austin, Anthony, and Brittany went trick or treating on Halloween, Altogether, the three of them…

A: The given data can be interpreted as given in step 2.

Q: One number is nine more than another number. If the sum of the numbers is 65, find both numbers.

A: We can find both the number as below.

Q: The difference between two numbers is 65. Five times the smaller number plus three times the larger…

A:

Q: there are two numbers which add up to 32. if one number is eight more than three times the other,…

A: Let x and y be the two numbers. It is given that, the two numbers add up to 32. That is, x+y=32…

Q: the average yearly salary of a construction worker is $11 thousand less than three times that of a…

A: Consider "x" is the average yearly salary of a construction worker and "y" is the average yearly…

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: The product of two numbers is 208. One number is 3 more than the other number. What are the two…

A: Given,          The product of two numbers is 208. One number is 3 more than the other number.

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.