There must be a ratio of 1 adult to each 10 children at a school dance

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A:

Q: If 477 students go to prom and the school requires a ratio of 1 adult to each 10 kids how many…

A: for477 kids 48adults

Q: Each marble bag sold by Jessica’s Marble company contains 5 yellow marbles for every 3 purple…

A:

Q: A certain job requires 700 person-hours to complete. How many days will it take for five people…

A: The total amount of work needed to finish the job is 700 person-hours.

Q: A college student has finished 48 credit hours with a GPA of 2.75. To get into the program she…

A: As it is given  that the 48 credit hours carry an average of 2.75Therefore, total number of…

Q: The ratio of students who buy lunch to students who bring lunch in the fourth grade is 7:4. How many…

A: topic- ratio and proportion

Q: A total of 1,650 boxes of girl scout cookies were sold last week. Each large box cost $3.50 and each…

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Q: There are 40 students in a classroom, and the desired ratio of students to computers is 3 : 1. How…

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Q: There are five boys to every seven girls in introductory geology course . If there are 408 students…

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Q: An egg-packaging factory can package eggs in cartons that hold 12 eggs or in cartons that Kold…

A: Given: Smaller cartons can hold 12 eggs. Larger cartons can hold 18 eggs. To pack 5,616 eggs in…

Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and…

A: Let x be the number of students who like both the subjects.

Q: In a college archaeology class, 78 students are going to a dig site to find and study artifacts. The…

A: We will find how many sections will be studied by a group of 2 students as following.

Q: In a class of 40 students, 27 like calculus and 25 like chemistry. How many like both calculus and…

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Q: The ratio of men to women in a classroom is 6 to 5. If there are 360 men how many women should there…

A: To find the number of women

Q: How many pounds of bacon should be ordered when serving a breakfast party of 85 people if each…

A:

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: A strawberry patch is 1.2 dam long and 1.5 dam wide. If one perosn can pick 3m2 in an hour, then how…

A: Given  length=1.2 dm =1.2 x 10 m =12m wide = 1.5 dm =1.5 x 10 =15m Area of strawberry patch is =…

Q: A shelf can be packed from end to end with 30 large books or 45 small books. Kevin already packed…

A: Given data:- The shelf can fill with large books, =30 books The shelf can fill with small books, =45…

Q: In a class of 60 students,each of the students passed either in mathematics or in science or in…

A: Given: Total number of students passed either in mathematics or in science or in both=60 Students…

Q: A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs today. How many…

A: Given that  A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 37 subs…

Q: If 21 men can paint a house in 16 hours how many men will be required to paint the house in 14 hours

A: Given that 21 men can paint a house in 16 hours

Q: 10. Members of the Wide Waters Club pay $105 per summer season, plus $9.50 each time they rent a…

A:

Q: A frog is in a well 12 feet deep, each day the frog climbs up 3 feet, and each night it slips back 2…

A: Depth of well = 12 feet To calculate: Number of days required by frog to get out of the well  Given:…

Q: 2. The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. If…

A: Given, Total students = 720 No. of BoysNo. of Girls=35

Q: 2. A butcher has some hamburger that is 23% fat and some that is 17% fat. How many pounds of each…

A: Let x lb of 23% fat hamburger is mixed with (81–x) lb of 17% fat hamburger to make 81 lb of 19% fat…

Q: There are 12 cans of soda in a case. Each can contains 16 ounces of soda. Every 24 ounces of soda…

A: According to question, There are 12 cans of soda in a case. Each can contains 16 ounces of soda.…

Q: Five people can finish painting a in five hours. If only 2 people are available, how many hours do…

A: Let us use ‘w’ for work done, ’n’ for   Number of people , ‘r’ for rate of work each people can do ,…

Q: THERE ARE 38 PAPER BILLS INA BANK BAG. THEY CONSIST OF #5-BILLS, #10-BILLS, AND $20-BILLS, THE TOTAL…

A:

Q: For every supporters of the home team there was 1 supporter of the away team. What was the ratio of…

A: Solution: Given data,Let the total number of supporters of home team be x. And also given that there…

Q: A chemist has 30% and 60% solutions of acid available. How many liters of each solution should be…

A: Let the quantity of 30% and 60% solutions of acid be 'x' and 'y' respectively According to question:…

Q: Two participating teams each received 5 litres of water for an outdoor activity on a certain day.…

A: First team have 5 liters of water, out of that 4.34 liters were used. So the water left by the first…

Q: 6. Ziad has 26 money bills in his bank, some are 500 L.L. bills and some are 1000L.L. bills. How…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: How many ovens are required to prepare 1250 servings per hour if you know that each pan take 20…

A: The following steps are used to find the solution of the given problem.  Identify the decision…

Q: A 12% tin alloy is to be melted with an 18% tin alloy.   How many kilograms of each tin alloy must…

A: Alloy 1 =  12 % Alloy 2  = 18% Let the quanity of alloy 1 =x  Then , quanity of allo 2 = 15 -x

Q: A minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball…

A: Given: The minivan can hold up to 7 people.

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

A:

Q: 400 tickets were sold to a benefit dinner. Adut tickets cost $20 and child tickets cost $12, and a…

A: The given information:

Q: A new phone sells for $250 and a used one sells for $75. How many of each are sold if the sales for…

A: a new phone sells for = $250 a used one sells for = $75 total sale = $625 in this type of questions…

Q: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served in 3…

A: Given info: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served…

Q: Be Precise An arts academy requires there to be 3 teachers for every 75 students and 6 tutors for…

A: To determine the number of tutors required for 120 students of the academy, first we have to…

Q: A baker wants to arrange some apple tarts on baking trays. If he puts 5 tarts on each tray, he will…

A: We have, if baker puts 5 tarts on each tray, he will  have 1 tart left over. Also if he puts 7 tarts…

Q: the ratio of left-handed players to right-handed players in a baseball league is 2 to 5. There are…

A: Given :  The ratio of left handed players to right handed players is  2:5.               And the…

Q: 1. Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number…

A: The given problem is to find how many marbles does rahul and rohan had using the given conditions.…

Q: In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak…

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Q: Mr. gomez bought 2 pairs of jeans each costing 45.50, and 1 pair of shoes. he spent a total amount…

A: Given data isMr. gomez bought 2 pairs of Jeans and 1 pair of shoesCost of each Jeans is 45.50Total…

Q: How many combinations of playlist can we make with 12 songs when there are six songs in each and…

A: Order does not matter in Combinations The number of combinations can be calculated using the…

Q: Every musician in the band plays either the fife or the drum (but not both). The ratio of fifers to…

A: Every musician in the band plays either the fife or the drum (but not both). Given the ratio of…

Q: There are 5 runners on each relay- race team. The first member runs 30 miles. Each team member runs…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: How many ounces of a 25% alcohol system must be mixed with 12 ounces of a 30% alcohol solution to…

A: Let x ounces of a 25% alcohol system must be mixed with 12 ounces of a 30% alcohol solution to make…

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.