6 Sam is renting a car for vacation. The table shows the number of keys in a bag for each type of car in the parking lot. How many times would you expect Sam to randomly select keys for a convertible or a sports car if he selects a key 120 times? Type of Car # of Keys in Bag SUV 7. sedan 16 convertible compact 12 sports Answer =

Q: Loyd finds 8 shirts in his size at a clearance sale. How many difference purchases could Loyd make?…

A: We know that: n! = nx (n-1) x (n-2) x (n-3) ........x 2 x 1 nCr = n! / r! (n-r)!

Q: Week 15 CRQ Sam is cleaning out his closet. His mom said his goal is to get to less than 5,000…

A: I am assuming that for each combination Sam wears one piece of each clothing.  Thus, total…

Q: An appetizer platter has a selection of 88 different appetizers. Mario plans to choose 3.3. How…

A: Number  of different appetizers = 88Mario plans to choose = 3

Q: Tim has a collection of model cars and boats. He has 3 cars for every 2 boats. He has a total of 12…

A:

Q: If Harry and Heinrick start eating at the same time, when will their ponds have the same number of…

A: Initially, number of Loly pads in harry's pond=20 Number of Lilly pads in Heinrick's pond=29 Harry…

Q: Elizabeth's tablet has a combined total of 20 apps and movies. Let x represent the number of apps…

A: Given, Elizabeth's tablet has a combined total of 20 apps and movies. Let xrepresent the number of…

Q: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

A:

Q: There are 21 juniors and 29 seniors trying out for the basketball team. You need 14 students for the…

A:

Q: Bart, Blake, Bill, Ben and Bob are standing side by side. Bart is between 2 boys. Bart is also next…

A: according to question, Bart, Blake, Bill, Ben and Bob are standing side byside. Bart is between 2…

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

A:

Q: Jonathan likes to randomly mix-and-match the colors of the shirts and pants he wears to school. His…

A: The objective of this question is to find the total number of possible combinations of shirt and…

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: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: 2 Mr Ronan had as many yellow floorball sticks as red floorball sticks in the PE storeroom. He took…

A:

Q: Joey finds 13 video games that he would like to have. Three of them will run on his operating system…

A: Given: A total of 13 games are there. 10 will run on the operating system and 3 will not.

Q: Angie is ordering breakfast in a restaurant. There are 10 types of eggs and 3 types of toast to…

A:

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: A teacher gives a test with 17 questions. Students are allowed to choose any thirteen to answer. How…

A:

Q: Find the combination A volleyball team has 15 players, two coaches, and three managers. In how many…

A: 15 players 2 coaches 3 managers 20 total people     how many ways can nine people sit in the front…

Q: James is in charge of planning a reception for 1800 people. Predict the number of people who…

A: Total = 32+25+46+65 = 168

Q: Eddie builds custom-made bicycles. The frames come in 3 sizes and 8 colours. How many different…

A:

Q: On your phone you have 23 rap songs and 14 country songs. How many 6 song playlists (order atters)…

A: Recall:  Crn=n!r!(n-r)!

Q: Savanna is playing a game with her friends. She tells them to each pick a number, and then she…

A: Solve the following

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: Field trip all the 5th graders at Lincoln elementary school will go on a field trip to the science…

A: given total people=147 people in each bus =44 to find  number of buses

Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: In a given city, there were 3057 passengers using public transportation in a given day. That same…

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.