Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD. y − 0.15y 0.05(0.85y) y − 0.85y + 0.05y 1.05(0.85y) Question 3(Multiple Choice Worth 5 points) (06.09A) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25. 6.9x − 16 6.9x + 16 0.1x − 16 0.1x + 16 Question 4(Multiple Choice Worth 5 points) (06.09A) Which expression is equivalent to one over fivem − 20? one over five(m − 4) one over five(m − 100) 5(m − 4) 5(m − 100) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: FDK411.04 Previous QuestionNext Question

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

                        Factor of Tax          = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

           Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

          Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

                                                   (1 / 5)*m - 20

Take LCM of the denominator:

                                                  (m - 100) / 5

                            One over five ( m - 100)

0.05(0.85y)

Step-by-step explanation:

This is for the first question.

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: