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Question 13 Solve the following linear equations: a. 2( m - 5) = 15 b. 4b - 10 = 2b + 8 Question 14 The cost (C) of hiring a car is given by C = 12 d + 19, where d represents days. Determine the maximum number of days we can hire a car if we have a total of $130. State your final answer in a sentence.Question 15 The local supermarket sells 200g of coffee for $3.50. Determine the cost per gram. Question 16 Mike earns a weekly retainer of $721 plus commission of 6% on sales. Determine the commission earnt if he made sales of $9743? Question 17 Calculate the simple interest earnt on an investment of $5000 at 10% p.a. for 3 years.Blackboard. Measurement and Geometry Questions Question 1 Use Pythagoras' theorem to calculate the length of the unknown side in the right-angled triangles shown below. a x cm 12 cm 15 cm b. 55 cm x cm 20 cm Question 2 Determine the volume of a rectangular box of length 15 cm, width 6 cm and height 13 cm.13 5 12 For the triangle shown, circle the response for the value of sin 0: a. b. 12 13 13 13 C. 12 d. 13 e. 5 Question 6 Calculate the value of x correct to one decimal place: 58 40 xQuestion 3 Determine the area of the shape shown. 10 cm 4 9 cm 12 cm Question 4 Determine the area of the shaded region. 6 cm 4 cmQuestion 12 Jerry played a game at the camival 25 times. Each time he received a number of tickets. The stem and leaf plot represents the number of tickets won each game. Stem Leaf Key: 1/4 = 14 tickets 1 4 5 5 8 8 8 9 2 12 2 3 4 4 9 3 1 16 002349 5 25 State the five number summary for this data. Minimum Q1 Median Q2 Maximum Construct a boxplot for the data on the grid below. 10 20 30 40 50 60 Number of ticketsQuestion 10 The numbers of close friends reported by a group of 12-year-old girls are shown in the boxplot. 10 12 Number of close friends Using the box plot above and mathematical reasoning (show working) to determine the interquartile range (IQR). Question 11 The distributions of ages of a group people belonging to a social club are displayed separately for males and females in the boxplots below. Female. Male 50 60 70 Age In years Using the box plots, determine which of the following statements is not true? Answer: A. The youngest person is a male. B. The median ages are different. C. The oldest male and female are the same age D. The females tend to be younger than the males. E. The females tend to be older than the males.Question 7 State the type of correlation between the variables x and y shown on the scatterplot, in terms of strength, direction and form. YA Question 8 (1 mark) Use the given scatterplot and line of best fit to predict: a. the value of y when x = 10. 45 40 35 30 25 20 b. the value of x when y = 10. 15 10 5 0 5 10 15 20 25 30 35 40' Question 9 Robin shoots 20 arrows for target practice and notes how many points he scores on each arrow. 2 N 5 6 7 8 8 9 9 10 10 a. State the rule for finding the mean for this data. b. Calculate the mean number of points scored per arrow