Hi I need help with questions 7-9 please

7. [0.5/1 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 4.3.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Three market leaders in homeowners insuran on data from a certain year, two relationships between the homeowners insurance percentage market shares are found to be as given below, where x, y, z, and w are the percentages of the market held by State Farm, American Family, Allstate, and other companies, respectively. x = -60 + 5y + 2 z = 9 - 2y + w Given that the four groups account for the entire market, obtain a third equation relating x, y, z, and w, and solve the associated system of three linear equations to show how the market shares of State Farm, American Family, and Allstate depend on the share held by other companies. (Express your answer in terms of w, where x = x(w), y = y(w), and z = z(w).) (x, y, z) = Which of the three companies' market share is most affected by the share held by other companies? O State Farm O American Family Insurance Group Allstate Need Help? Read It Watch It 8. [0.32/1 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 4.3.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating of bin Lapolicy manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows. Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board. Toronto to Honolulu: $20 per b Venice Beach: $10 per board. (a) Assuming that you wish to fill all orders and capacity production at both plants, is it possible to meet a total transportation budget of $10,700? Yes O No If so, how many Gladiator boards are shipped from each manufacturing plant to each distribution outlet? (If there is no solution, enter NONE in all answer blanks.) Tucson to Honolulu boards Tucson to Venice Beach board Toronto to Honolulu boards Toronto to Venice Beach board (b) Is there a way of doing this for less money? O Yes NO Need Help? Read It Watch It 9. [0.75/1 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 4.3.030.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. 14,000 97,00 Total 63,210 111,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? xty = 14,000 2 + w = 97,000 O + w = 63,210 + w = 111,000 * + 14,000 +w = 97,000 O 2 + w = 63,21 + w - 111,000 xty 14,000 y 17,000 2+ w = 63,210 x + y + z+ w = 111,000 *+y 14,000 2 + w = 97,000 O + w = 63,210 x + y + z + w = 111,000 Does it have a unique solution? This system has a finite number of solutions. O This system has one solution. This system has no solution. This system has infinitely many solutions. What does this indicate about the missing data? O The given data is sufficient to obtain the missing data (x, y, z and w). The given data is insufficient to obtain the missing data (x, y, z and w). (b) Given that 42,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) = (