Solve the following problems by performing the following steps in each of the cases: the statement of the problem, the development of operations, verification, interpretation and conclusion of the results. a) CASE 1 The sum of three consecutive numbers is 141, what are those numbers? b) CASE 2 Cars and motorcycles are sold at a car dealership. In the lot there are 30 vehicles and 100 tires. How many cars and how many motorcycles does the lot have? c) CASE 3 One side of a rectangle is 6 cm longer than the other. What are its dimensions if its area is 91 cm2?

Q: ) The price of 8 citrons and 7 fragrant wood apples is 104 units. The price of 7 citrons and 8…

A: Let x be price of citron and y be price of wood apple.

Q: The port of Lajitas has three loading docks. The distance (in meters) between the loading docks is…

A: First consider the constraints. Every tanker must be assigned to a loading dock. We have to find…

Q: Again it is related to my trip to Vancouver: Fly to Vancouver and to have a vacation is not a cheap…

A: Solution: Given information: n = 98 Sample size of couples  x = 3031 Sample mean s = 361 Sample…

Q: Its makke your own burrtio night. Her guest can create thier own burrtios fro the ingredients shes…

A:

Q: d) The number of inspection teams of two mechanics and three supervisors chosen from seven mechanics…

A: 2. d) The provided information is as follows:The total number of the mechanism is 7.The total number…

Q: A hotel charges a rent of R.O. 20 per day for a ro cal phone call made. Abdullah stayed in the hotel…

A: Given data, The hotel charges 20 per day and 50 paise for a call. Abdullah stayed 2 days in the…

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: 3.) A chef cooks 2 of a pound of pasta. She plans to serve - of a pound to each customer. How 12…

A:

Q: Mr Han bought some pens. He gave 225 pens to Class 3A and 132 pens to 1 Class 3B. He gave of the…

A: Given that Mr. Han bought some pens . He gave 225 pens to class 3A and 132 pens to class 3B.He gave…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: I. Using the numbers 0, 2, 3, 4, 6, and 8, how many 4-digit odd numbers between 2000 and 8000 can be…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 2. In each problem, show three examples and make a correct conjecture. a) Describe the product of…

A: We have to make correct Conjecture of given three question

Q: If a multi-millionaire walked up to you with a rectangular prism and a rectangular pyramid (they…

A: We know that the volume of rectangular pyramid is lwh3. And the volume of a rectangular prism is…

Q: -) As of 10/13/20, the top 5 best-selling books on Amazon.com are as follows: Humans of New York…

A:

Q: twenty tickets are entered into a raffle. 1st prize receives $100;2nd prize receives $25;3rd prize…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: 8.) Which of the following is equivalent to the problem 22 + -64? A. -22 - 64 B. 22 - (-64) C. 22 -…

A:

Q: Alice counted 7 cycle riders and 19 cycle wheels going past her house. How many tricycles were…

A: Since you have posted multiple questions, we will provide the solution only  the first question as…

Q: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

Q: 1. The sum and difference of two numbers are 50 and 16, respectively. Find the numbers.

A:

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: we want to guarantee that each of the three children gets at least 50 dollars. How many ways could…

A:

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

Q: Your Turn: Come up with another way to go from 2x³ to 16x10. TASK 2: Select 3 positive integers (0…

A:

Q: 5. From the digits 2, 3, 4, 5, and 6: a. how many numbers greater than 4000 can be formed? b. how…

A: digits : {2,3,4,5,6}the number is even if last digit of number is even.

Q: 37.What approach to subtraction is used in each story problem? a .Joe is on a 9-mi bike ride. If he…

A: (a) Given: The person J is on 9 mile bike ride and Covered 5 mile. Calculation: Assume the distance…

Q: For a school project, Ely will get 25 points for an oral presentation, with an additional 5 points…

A: Given ,  For a school project , Ely get 25 points on oral presentation , with an additional 5 points…

Q: a) Every Saturday, you spent 2 and 1/5-hours biking, 6 and 12 hours sleeping and 1 and 1/3 hours…

A:

Q: the lower confidence level with 2 decimal

A: Given : n=93 , X-bar=2873  , s=222  , α=0.05 Since , the population standard deviation (σ) is…

Q: Mike, John, Paul, Luke and pete have $5000 total.. John has $100 less than mike; while paul brags…

A: