In how many ways can Coy drive from Caroline's city to Karl's city and return, going through Janry's city on both trips without driving on the same road twice

Q: On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse traps.…

A:

Q: During intramurals the sports coordinator finds that, of its 175 students, 96 plays basketball, 86…

A: We want to find number of student that did not play any of the given three games.

Q: In​ Marissa's calculus​ course, attendance counts for 20​% of the​ grade, quizzes count for 20​%…

A:

Q: student needs 6 more classes to graduate. If she has met the prerequisites for all the classes, how…

A: Given n=6 r=3

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

A:

Q: A college football coach must choose four new players who will receive scholarships. He can choose…

A: Combination: Let us consider there are n number of objected  out of which r to be chosen then the…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain…

A:

Q: , and​ secretary-treasurer. If each office is to be held by one person and no person can hold more…

A:

Q: A club with ten members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: In​ Marissa's calculus​ course, attendance counts for 10​%of the​ grade, quizzes count for 15​% of…

A:

Q: There are 360 students and 2/3 went to a field trip. Of these students, 40% were wearing t- shirts…

A:

Q: he manager of a theatre want s to know whether the majority of his patrons are adults or children.…

A:

Q: For the new fall season, a network president has 11 shows in development, and 8 openings in the…

A: The network president has 11 shows in development . There are eight openings in the prime time…

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: you had a box of five different kinds of fruit and you could choose 2, you might get an apple and an…

A: Given that  Number of types of fruits (n) = 5 Number of fruits we could choose = 2   We know that…

Q: If a plumber and a helper can install a water heater and a half in a half day, then how many water…

A: According to the given information it is required to find the number of water heaters that 20…

Q: An employee at a construction company is ordering interior doors for some new houses that are being…

A:

Q: A club with eighteen members is to choose three officers: president, vice-president, and…

A: topic - permutations and combinations

Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least…

A:

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: How many ways are there to go from B to D?

A: here given  A boy lives at B and wants to go to school at D. From his home B he has to first reach C…

Q: Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to…

A:

Q: movie club to which Lin belongs allows her to receive a free DVD for every three DVDs she rents.  If…

A: We will solve for the dvds.

Q: In​ Marissa's calculus​ course, attendance counts for 20​% of the​ grade, quizzes count for 20​% of…

A:

Q: The freshman class of 175 students went on a field trip. For transportation, they needed both vans…

A:

Q: A medical salesperson is to visit the various members of the staff at a clinic. He must see 8…

A: It is given that the sales person must see 8 doctors, 6 physicians assistants, 12 nurses, 3 medical…

Q: Marissa's calculus​ course, attendance counts for 5​%of the​ grade, quizzes count for 15​% of the​…

A: Given data,   Weightage (w) score (x%) x*w attendance 0.05 100% 5 % quizzes 0.15 89% 13.35 %…

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: (a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways…

A: Given: People buy raffle tickets = 200

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife…

A: Every salad and every dessert should be considered as a different dish here.

Q: A southeast regional salesman has eight destinations that he must travel to this month: Atlanta,…

A: Given : A southeast regional salesman has eight destinations that he must travel to this month:…

Q: There are 7 roads from Silang to Dasma, 5 roads from Dasma to Imus, and 4 roads from Imus to Bacoor.…

A:

Q: If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: 4 men and 5 women 2 chicken, 4 turkey, 3 vegan

Q: There are four different trails to the top of a mountain. In how many ways can a person hike up and…

A: given that There are four different trails to the top of a mountain. In how many ways can a person…

Q: A university student is selecting courses for his next semester. He can choose from 6 science…

A:

Q: Six normal drinking glasses are standing in a row. The first three are full of water and the…

A: In this question we have to determine how can we change a one glass position so that no full glasses…

Q: Company C has 20 employees who are available to serve on a new committee. If the committee will…

A: Given:-total number of employees who are available to serve=20number of member in each…

Q: 20 politicians are having a tea party, 6 Democrats and 14 Republicans. To prepare, they need to…

A: The number of democrats in a tea party is 6. The number of republican leader in tea party is 14.…

Q: You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many…

A: There is total 4 persons.

Q: There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5…

A: There are 3 ways to get from Town A to Town B. 4 ways to get from Town B to Town C. and another 5…

Q: In​ Marissa's calculus​ course, attendance counts for 20​%of the​ grade, quizzes count for 15​% of…

A:

Q: There are four roads between Aurora Hill to Pacdal, and 6 roads between Pacdal to Bakakeng. Find the…

A: Given: Number of roads between Aurora and Pacdal is, n(A)=4. Number of roads between Pacdal and…

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…

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.