A class of 195 students is going on a field trip. They took 7 vehicles. Some rode in cars, others in buses. The cars held 5 students and the buses held 45 students. How many of each vehicle did they take?

Q: One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a large amount…

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Q: If 102 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2…

A: We can solve this problem by creating 2 equation to represent the info and solve it.

Q: Ivy Creek has 1,328 students. If all of the students at Ivy Creek are going to go on a field trip…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Mr. Johannsen has a farm with 3 cows, 8 chickens, and some ducks. If the total number of farm animal…

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Q: Kara has 1010 books on a shelf and decides to move 33 of them to an empty shelf. In how many…

A: Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many…

Q: A farmer plants 4 apple trees for every 3 pecan trees in the orchard. She plants 2 peach trees for…

A:

Q: Bob has 18 coins totaling $1.50. If he only has dimes and nickels, how many of each coin does he…

A: It is known that, dime value = 10 cents, and Nickel value = 5 cents.$1.50 = 150 cents.Let x be the…

Q: For every nine students in a school, two signed up for intramural sports. That was 208 students. One…

A: let the total number of students =9x according to question 2x=208⇒x=104 implies, total number of…

Q: How many outfits could you make if you had 6 pants, 7 shirts, and 4 pairs of shoes to choose from?

A: We know that for making a outfit we need 1 pant form 6, 1 shirt from 7 and 1 pair of shoes from 4…

Q: If 116 people attend a concert and tickets for adults cost $3.75 while tickets for children cost…

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Q: When an ice cream shop was founded, it made 39 different flavors of ice cream. If you had a choice…

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Q: How many vans were there?

A:

Q: The senior classes at High School A and High School B planned separate trips to the county fair. The…

A: Given data can be written as in equation form.  Let van is x and bus is y.  9x+2y=273 x+12y=737. By…

Q: If 121 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5…

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Q: A theater has a seating capacity of 900 and charges $6 for children, $10 for adults. At a certain…

A: Given that,   A theater has a seating capacity of 900 and charges $6 for children, $10 for adults.…

Q: Montgomery College has a 60-piece band and a 38-piece orchestra. If 15 people are members of both…

A: Let A denotes the set of members of band and B denotes the set of members of Orchestra. Given the…

Q: A grocer orders apples and oranges at a total cost of $8.39. If apples cost her 25 cents each and…

A:

Q: When an ice cream shop was founded, it made 43 different flavors of ice cream. If you had a choice…

A: Topic = Permutation and combination

Q: If 117 people attend a concert and tickets for adults cost $2.75 while tickets for children cost…

A:

Q: When an ice cream shop was founded, it made 29 different flavors of ice cream. If you had a choice…

A: Given that When an ice cream shop was founded, it made 29 different flavors of ice cream. If you had…

Q: When an ice cream shop was founded, it made 22 different flavors of ice cream. If you had a choice…

A: Here in this given problem no of different flavors of ice cream=22 No of ice cream can be made from…

Q: If bailey has 7 bananas and she got 2 more how Many does she have in total?

A: Given, Initially  bailey has 7 bananas  Then She got 2 more bananas We have to find the Total number…

Q: In a campuswide election for student government president, 2800 votes were cast for the two…

A: Let fist candidates is A and second candidates is B and they received x and y number of votes…

Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

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Q: If 122 people attend a concert and tickets for adults cost $3.5 while tickets for children cost…

A:

Q: There are 15 people excepted for dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

A: There are 15 people excepted for dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

Q: There are 364 first-grade pupils in Brown Prophet Elementary School. If there are 26 more girls than…

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Q: A jazz concert brought in $189,000 on the sale of 7,400 tickets. If the tickets sold for $20 and $30…

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Q: For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $4.00. If 80 tickets are…

A: To find number of the sold tickets of adults and kids.

Q: A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost…

A: Given , white shirt cost =$9.95 Color shirt cost =$10.50 Given cond Colorshirts =14+w Also given Wx…

Q: a farmer plants 4 apple trees for every 3 pecan trees in the orchard. she plants two 2 peach trees…

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Q: For every 8 fruit cups that Maria makes,she uses 1 and 1/4 cups of blueberries. If she uses 5 cups…

A:

Q: The senior classes at High School A and High School B planned separate trips to the county fair. The…

A: Every van had the same number of students in it as did the buses. Let x is the number of students in…

Q: A baker had four 50-pound bags of sugar. She used 68 and 1 out of 2 pounds of sugar to bake cakes,…

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Q: Toby and Rocco have 30- toys between them. If Tob has 11 of the toys, how many toys does Rocco have

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Q: For her show "Outfront," Anna can air 5 segments. If she has 13 segments to select from, in hoW many…

A: Total number of segments =13 Number of segment selected =5

Q: If 14% of the people in the school are 210 people, how many people are in the school?

A: 14% of the people in the school are 210  then find how many people means 100%

Q: For her English literature course, Ruchika has to choose one novel to study from a list of ten, one…

A: Given that there are 10 novels, 15 poems, 7 short stories.  So she can choose a novel in 10 ways, a…

Q: A car dealership had 42 cars, and sold 19 of them. How many cars does the store have now?

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Q: How many outfits could you make if you had 6 pants, 7 shirtsand 4 pairs of shoes to choose from?

A: Given he had 6 pants, 7 shirts and 4 pairs of shoesHe can chose 1 from the 6 pants and 1 from the 7…

Q: For her show "Outfront," Alexandra can air 4 segments. If she has 9 segments to select from, in how…

A: Given: Alexandra can air 4 segments and she has 9 segments to select from.

Q: Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class,…

A: Combination: It is a method used to select number of items form a collection It is denoted by Crn…

Q: There are 21 animals on Farmer Cole's farm-all sheep and chickens. If the animals have a total of 56…

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Q: How many of each kind of stamp does he​ have?

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Q: The Cook family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9…

A: No of total eggs they have in total.

Q: The admission fee at an amusement park is $2.25 for children and $6.00 for adults. On a certain day,…

A: To determine the number of children and adults.

Q: For a field trip, 17 students rode in cars and the rest filled five buses. How many students were in…

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Q: A woman bought some large frames for ​$13 each and some small frames for ​$9 each at a closeout…

A: detailed solution is given below

Q: Dominique has 4 shirts for every 3 pairs of jeans that she owns. If she owns 21 pairs of jeans, then…

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Q: At Piedmont High School, 3 out of 8 students are athletes. If there are 1280 students at the school,…

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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.