Jay can remember only the area code and the first 3 digits of his friend's phone number. He also knows that the number has 7 digits (not including the area code) and the last digit is not a zero. If Jay were to dial all of the possible numbers and it takes him 21 seconds to try each one, how many hours would it take him (in total) to try each possibility?

Q: Sam and Alex play in the same soccer team. Last Saturday Alex scored 3 more goals than Sam, but…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: There are three consecutive odd integers. Three times the largest is seven times the smallest. What…

A: Please find the solution in the attachment

Q: A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the…

A:

Q: A total of $50,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If…

A: Given: Total investment=$50000. Amount in bond is to exceed that in CDs by $8000.

Q: Sarah can remember only the area code and the first 3 digits of her friend’s phone number. The…

A: Sarah knows the first 3 digits of the phone number which contain 7 numbers.The last number is not…

Q: Breanna had a basket of apples. She decided to give away ½ of her apples plus 1 to her father, ½ of…

A:

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

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: 3 of his stickers 10 Rudi, Sam and Ted had 162 stickers altogether. Rudi gave of his stickers to…

A: Given Information - Total number of stickers Rudi, Sam and Ted had = 162 Rudi gave 310 stickers to…

Q: Jillian observed that if the sum of its digits is subtracted from a number the result is always…

A: Given data:   Check the divisibility by three and nine.   The above general expression can be proved…

Q: John had 50 stamps more than Tom. After Tom had given John 35 stamps, John had 5 times as many…

A: Ratio and proportion

Q: To get a B in math, Alexandria Pappas must average at least 80 on her five tests. Scores on the…

A: Topic- Averages

Q: The sum of six different integers is -70. If the smallest of these integers is - 15 what is the…

A: To Determine: what is the largest possible value of one of the other five integers ? Given: The sum…

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: While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way…

A: A detailed solution is given below

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: At the start of last year, Annie had 14 more horses than Bob. Over the course of the year, Annie's…

A: Let the number of horses Annie have now be: x Let the number of horses Bob have now be: y

Q: In golf, "par" is a score of zero. If you go "over par," your score would be reported as a positive…

A:

Q: In a basketball league consisting of 12 teams, each team plays each of the other teams exactly…

A: Let's do the calculation if the teams play exactly one game with each team. In this case number of…

Q: One -half of Heather's age two years from now plus one-third of her age three years ago is twenty…

A:

Q: While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way…

A:

Q: Sam has half again as many apples as Katie, while together Sam and Katie have 80 more apples than…

A:

Q: The second of the four number is three less than the first, the third is four more than the the…

A: Linear equations are the equations with degree equal to 1. When degree is equal to 2 then the…

Q: total of $500 was invested, part of it at 7% interest and the remainder at 8%. if the total total…

A: We can find the required answer as below.

Q: The months of June, July, August, and September are the wettest months in Miami, Florida, averaging…

A: Given: The average monthly rain in Miami in the months of June, July, August and September is 7.83…

Q: f Chad does a job in 7 hours less time than Chloe, and they can do the job together in 12 hours, how…

A: Let  Chloe dose a job in x hours, and Chad dose a job in y hours If Chad does a job in 7 hours less…

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: Adam and Zico each have a sum of money. 1 Zico spends - of what Adam spends each day, Adam will…

A:

Q: Tony has $15 and saves $1.50 each day. Joan has $55 and spends $4.50 each day. In how many days will…

A: Let in 'x' days Tony have at least as much money as Joan.      Tony has $ 15 and he saves…

Q: The Bank of France sells U.S. dollars ($) at a rate of ($1.40)/(€1) and buys U.S. dollars at a rate…

A: Explanation- Given that, The Bank of France sells U.S. dollars ($) at a rate of $1.40€1 and buys…

Q: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

A: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

Q: A bag contains nickels, dimes and quarters having a value of $3.75. If there are 40 coins in all and…

A:

Q: When a number is decreased by 10% of​ itself, the result is 36. What is the​ number?

A:

Q: Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now,…

A:

Q: The sum of the digits of a 3-digit number is 17. The hundred's digit is twice the unit's digit. If…

A:

Q: The digits of a positive two-digit number are reversed, resulting a new number. It turns out that…

A: A two digit no. Is given by as: 10a+b

Q: A recipe for chocolate chip muffins states that it yields 12 muffins, with 320 calories per muffin.…

A: Given, Total number of muffins= 12 Calories per muffin= 320 According to given, Total calories=…

Q: Kay started a chess club, and for a while she was the only member. She planned to have each member…

A:

Q: A woman invests $35,000, part at 8% and the rest at 9 1 2% annual interest. If the 9 1 2%…

A: Assume  amount invested at 8% = x  amount invested at 9 1/2% = y Now we will write two equations and…

Q: A certain number is 4 less than another number. If the sum of the two numbers is 48, what are the…

A:

Q: There are two conference halls A and B. If 20 delegates are sent from hall A to hall B, the number…

A: Given: There are two conference halls A and B. If 20 delegates are sent from hall A to hall B, the…

Q: My boss warms up for her trip in switzerland for the winter. He will be lagging three tops over each…

A: The total number of tops  =15. The total number of mittens =10. The required number of tops =3 The…

Q: Three friends, Pedro, Juan, and Jose, can do a certain work alone in 10 hours, 15 hours, and 18…

A:

Q: Yaritza has a smart phone data plan that costs 45$ per month that includes 5gb of data, but will…

A: Given query is to find linear equation for cost for the data plan.

Q: If I have an exam which lasts 3 hours and there are 42 questions, 34 which are worth 2% and 8 that…

A:

Q: Suppose that a certain muffin shop has 240 ounces of dough and 280 ounces of sugar. It requires 4…

A: Let's assume she makes S sugar cookies and C chocolate chip cookie

Q: A new venue just opened in downtown Canton, and they are in the process of deciding how many people…

A:

Q: If Jun has 12 T-shirts, 6 pairs of pants, and 4 pairs of shoes, how many possibilities can he dress…

A: Jun has 12 T - shirts , 6 pairs of pants and 4 pairs of shoes. We know that combination corresponds…

Q: At the end of the day, the change machine at a laundrette contained at least $3.20 and at most $5.45…

A: Given:- The change machine at a laundrette contained at least $3.20 and at most $5.45 in nickels.

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.