In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. Of these, 8 students like all three activities, while 30 like only one of them.    How many students like only two of the three activities?

Q: A high school student needs 9 more classes to graduate.  If she has met the prerequisites for all…

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: 1)   Meadow woods Meadow 2/3 1/3 woods 1/5 4/5

Q: To win the World Series, a baseball team must win 4 games out of a maximum of 7 games. To solve the…

A: The fundamental principle of counting suggests that the if the total number of ways to do a work is…

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: A company has three supervisors and seven regular employees. Two supervisors are sworn enemies and…

A: This is the question from circular permutation. it is the total number of ways in which  n distinct…

Q: Kurt has saved $160 to buy a stereo system that costs $400 including taxes. If he earns $8 an hour…

A: Let kurt work x hours to get stereo system  Cost of stereo system =$ 400  saving of kurt =$ 160

Q: It takes Aaron 3 hour 15 minutes to travel from A City to B City and 5 hours 25 minutes to reach C…

A: From A city to B city time taken=3 hour 15 minutes From B city to C city time taken= 5 hrs 25…

Q: Peter has some candies. He places 2/3 of his candies equally into 12 small boxes, and the rest…

A: Let Peter have x candies in total.

Q: In a certain class, 20 students do not like Spider-Man or Dark Knight. In the same class, 74…

A:

Q: Ruth is a server at an all-you-can eat sushi restaurant. At one table, the customers ordered 4 child…

A: Let us consider the price of a child buffet is x and that of the adult buffet is y.  At table 1, 4…

Q: The administration at Center City Community College has formed a 19​-person planning committee.…

A: Number of administrators is three times the number of students. Number of faculty members are 4 more…

Q: You have 7 math books and 7 history books to put on a shelf with five slots. In how many ways can…

A:

Q: Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. If the final exam counts…

A: Given:Link has obtained scores of 82 , 75  & 71 on her midterm algebra exams. If the final exams…

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time,…

A: Ans 16

Q: oday, Hector would be 22 years years older than his sister in five years he will be three times as…

A:

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: At a university, a dean is going to select 7 volunteers to serve on a committee. There are 7…

A: Given data:The dean is going to select 7 volunteers to serve on a comitee.There are 7 volunteers…

Q: Six friends are taking a film history course and, because they have procrastinated, need to view…

A: Given information Six friends have a total of three DVD players in different dorm rooms and If each…

Q: John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will…

A: Consider John's age as J, Peter age's as P and Alice age as A. From given, J=2P, P=A+5 and J+5=3A.

Q: The sum of the first n terms of a GP is 189. If the first term and the second term of the GP are 3…

A:

Q: A family has six children. If this family has exactly three boys​, how many different birth and…

A: From the provided information, Total children in a family = 6 The family has exactly 3 boys.

Q: In a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: Let N be the set of people who read magazines Newsweek.Let T be the set of people who read magazines…

Q: math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

A: A math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

Q: If a number is less than four more than its opposite, what are the possible numbers?

A: We have to find the numbers

Q: If Chad has 14 stickers and half of those are silver. Sarah has 29 more stickers but 5 fewer silver…

A: Provided that person C has 14 stickers, in which 7 are silver. Another person S has 29 more than…

Q: 2) On the opening night of a play at a local theatre, 946 tickets were sold for a total of $12,452.…

A:

Q: I am going to give my 4 brothers and 1 sister some candies. I have a box of 48 similar candies, and…

A: given that :Since Total number of confections are 48 All out number of siblings and sister are 4+1…

Q: A participant in a cognitive psychology study is given 50 words to remember and later asked to…

A: We have given that  The number of words given to participant is =50 And ask to recall as many as…

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: In a long-distance relay race of 50 miles, the four runners on one team had the following times: 1…

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: This map of six square blocks shows the location of Mae’s house (M), her grandfather’s house (G) and…

A: Basic information about Mae's moves:Mae will move only in upward or rightward direction to go from M…

Q: If Alice is tall, Bob is taller than her, and Carol is taller than both of them, then Carol is tall.

A: Given that Bob is taller than Alice, So Bob>Alice    (1) Carol is taller that Alice and Bob. It…

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: To find: Number of elimination games.

Q: Gina runs every 4 days, cycles every 16 days, and jogs every 12 days. If she did all three…

A:

Q: A student needs 11 more classes to graduate. If she has met the prerequisites for all the classes,…

A:

Q: The school wants to change the price of lunch so that when it sells more than 30 lunches in one day,…

A: Given that the school wants to make a profit when it sells more than 30 lunches in one day. That…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: Chris and Ed decide to help each other by doing repairs on each other's houses. Chris is a carpenter…

A: Introduction: The work and payment problem is an application of unitary method. The number of…

Q: A charity benefit is attended by 25 people and three gift certificates are given away as door…

A: Here 25 people and 3 gifts No person receives more than one prize We have to find :   how many…

Q: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 30 have neither. How many…

A:

Q: A, B, C, and D are going to ride in A’s car to go to the mall. But only A and C know how to do drive…

A: Given, The number of individuals is 4 The individuals are A, B, C and D. The number of front seats…

Q: Lauren is 3 less than twice Andrew's age. 4 years from now, Sam will be 2 more than twice Andrew's…

A: topic - linear equations

Q: Carl has 100 comic books. He wants to arrange the books in three piles so that the second pile has…

A: Given: The total number of comic books is 100. We want to arrange the books in three piles so that…

Q: For this problem, assume Gwen and Harry have 5 types of cones and 11 flavors of ice cream. (1) In…

A: 1) We can select 1 cone from 5 cones in 5P1=5 ways We can select the bottom flavor in 11 ways. In…

Q: At some time in the now distant past, there was a party with 100 guests. The host had bought exactly…

A: Given: There was a party with 100 guests The host had bought exactly the same number of drinks for…

Q: For this problem, assume the cooler contains 28 cans, 10 of which are regular, and the rest of which…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

Q: 1. The average of 3 numbers is 60. If two of the numbers are 50 and 60, what is the third number?

A: Given,The average of 3 numbers=60first and scond number is 50 , 60

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: 2. At the start of last year, Jim owned 20 acres more of land than Annie did, but Jim sold 40 acres…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.