Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many times could she have gotten tails

Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

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: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

A:

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: A club has 40 executives, 33 like to drink beer and 20 like to drink whiskey. How many like both?

A: Explanation of the answer is as follows

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: An employment agency specializing in temporary construction help pays heavy equipment operators $128…

A: Given, Pay of heavy equipment operators = $ 128 per day Pay of general laborers = $ 94 per day If…

Q: one family has comfortable children, with four daughters and two sons from a village of 1000 houses,…

A: As per given by the question, one family has comfortable children's with four daughter and two son…

Q: There are five roads from Wilton to Norwalk and four roads from Norwalk to Darien. If Kristina…

A: here given, There are five roads from Wilton to Norwalk and four roads from Norwalk to Darien.…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: s owned at least two. The U.S. Census Bureau tells us that there were 117 million households in…

A:

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

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: If we 5 apples and we take 3 away, how many do we have now?

A: Given that,                  Total apples =5                  take away apples=3

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

Q: 50% of the students in a school were boys. 20% of the boys and 2/3 as many girls as boys took part…

A: As 50% are boys in the school so left 50% is girls which imply number of boys and number of girls…

Q: From a league of 20 players, we want tô chööse match. A goalkeeper, a captain and 9 players. In how…

A: Given Total number of players=20

Q: A boy owns 6 pairs of pants, 7 shirts, 3 ties, and 1 jackets. How many different outfits can he wear…

A: He can choose a pant in 6 ways.  He can choose a shirt in 7 ways He can choose a tie in 3 ways He…

Q: 2. In a basketball league consisting of 10 teams, each team plays each of the other teams exactly…

A:

Q: In a volleyball league consisting of 10 teams, each team plays each of the other teams exactly…

A: As per our guidelines we are supposed to answer only one question at a time..So I am solving the…

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: Out of 800 families with 5 children each, how many would you expect to have, (i). 3 boys (ii) Either…

A:

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

A:

Q: In a recent international sport​ competition, the top three countrieslong dash Country ​A, Country​…

A:

Q: If a machine can produce 2,550 metal parts in 7 ½ hours, how many hours would it take the machine to…

A: 2550 = 7 12 hrs converting hours to minutes 7 12 hrs= 450 mins 2550 metal parts=450 mins 1 metal…

Q: In the Brady's Family, each girl has twice as many brothers as she has sisters. However, each boy…

A:

Q: - Kevin divided his marbles equally into 2 bags, Bag A and Bag B. In Bag A, there were 30 more red…

A: This question is related to numbers, ratio and proportion, we will solve it by using the conditions…

Q: If a guy has 4 apples and he gives away the 3 how many apples will he have ?

A:

Q: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

Q: This year, The Springtown Times had 7,152 subscribers. That is 20% more than they had last year,…

A:

Q: In a town, there are 4/5 as many adults as children, 3/4 as many boys as girls, and an equal number…

A:

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: how many teams can be made if they must all be boys?

A:

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: A surgical procedure requires four steps. The first can result in three possible outcomes, the…

A: In this question, concept of decision algorithm is applied. Decision Algorithm A decision algorithm…

Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

A:

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: You baked seven cupcakes of different flavor. In how many ways can you  give two cupcakes each to…

A: Here Given  Total No of cupcakes=7 No of given to each friends=2 No of cupcakes keep with himself=1

Q: Josephine has ten chemistry books, three history books, and two statistics books. She wants to…

A: Fundamental rule of counting:If there are m different ways of occurring an event and n different…

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A:

Q: Two multipedes were dancind together at a party,and trying hard not to trip over each other's feet!…

A: Let one multipled has x legs and another has y legs. So from the first conversation we get, x+2=y-2…

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.