Four families decided to go watch a movie on a Friday evening. The Rahmans (R) have 5 family members, the Khans (K) have 3, Sarkars (S) 2, and the Hasans (H) 2. They buy a movie-ticket for each member. During the intermission, R goes to the concession-stand and buys 5 large popcorns. K buys 2. S and the H buy 1 and 0 respectively. Once the movie ends, the families go to an ice-cream parlour nearby. R orders 4 scoops of ice-cream and 2 coffees. K orders 2 scoops of ice-cream and 3 coffees. S orders 4 scoops of ice-cream and 2 coffees. H orders 1 scoops of ice-creams and 2 coffees. At the end of the night, the total expenditure of the families are as follows: The Rahmans have spent Tk. 5064; the Khans have spent Tk. 2896; the Sarkars have spent Tk. 2889; and the Hasans have spent Tk. 1518. Using the information above, convert the Friday night expenditures of the four families into a system of linear equations. Convert this system of equations into the matrix form. What is the determinant of the coefficient matrix? unanswered What is the price of a movie ticket? unanswered What is the price of a pop-corn? unanswered What is the price of a scoop of ice-cream? unanswered What is the price of a cup of coffee? unanswered Submit You have used 0 of 1 attemptSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button. SaveSave Your Answer 2 4.0 points possible (graded, results hidden) Suppose next week (week 2), the four families go to the movies again. But this time, two things are different: i. the concession-stand is not open and the families cannot buy the pop-corns and ii. the price of the other goods have changed from what it was last week. If I give you the information about which family bought how much of each good, and what their total expenditure is, will it be possible to calculate the price of a movie-ticket, a scoop to ice-cream, and a cup of coffee? Select an option Yes, price of all three goods can be calculated No, none of the prices can be calculated No, only some of the prices can be calculated Not enough information is given unanswered Suppose next week (week 3), only three of the families go to the movies. This time, the concession-stand is open and the three families once again buy movie-tickets, pop-corns, ice-creams, and coffees. However, the price of goods have changed again. If I gave you the information about which family buys how much of each good, and what their total expenditure is, will it be possible to calculate the price of the four goods? Select an option Yes, price of all four goods can be calculated No, none of the prices can be calculated No, only some of the prices can be calculated Not enough information is given unanswered
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.
Four families decided to go watch a movie on a Friday evening. The Rahmans (R) have 5 family members, the Khans (K) have 3, Sarkars (S) 2, and the Hasans (H) 2.
They buy a movie-ticket for each member. During the intermission, R goes to the concession-stand and buys 5 large popcorns. K buys 2. S and the H buy 1 and 0 respectively. Once the movie ends, the families go to an ice-cream parlour nearby. R orders 4 scoops of ice-cream and 2 coffees. K orders 2 scoops of ice-cream and 3 coffees. S orders 4 scoops of ice-cream and 2 coffees. H orders 1 scoops of ice-creams and 2 coffees.
At the end of the night, the total expenditure of the families are as follows: The Rahmans have spent Tk. 5064; the Khans have spent Tk. 2896; the Sarkars have spent Tk. 2889; and the Hasans have spent Tk. 1518.
Using the information above, convert the Friday night expenditures of the four families into a system of linear equations. Convert this system of equations into the matrix form.
What is the determinant of the coefficient matrix?
unanswered
2
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images