6. (a) The number of tablets given to a patient was found to be directly proportional to the weight of the patient. If a patient with 36 kg was given 9 tablets, find how many tablets would be given to a patient whose weight is 48 kg.
8. (a) The 8times the 2th term of an arithmetic progression is 9 greater than the 5 nd term. Find the common difference and the first term of the arithmetic progression. th term and the 10 th term is 10
11. A shopkeeper sells refrigerators and washing machines. Each refrigerator takes up 1.8 m 2 of space and costs 500,000 2 of space and costs 300,000 shillings; whereas each washing machine takes up 1.5 mshillings. The owner of the shop has 6,000,000 shillings to spend and has 27 m 2 of space.
(a) Write down all the inequalities which represent the given information.
(b) If he makes a profit of 30,000 shillings on each refrigerator and 40,000 shillings on each washing machine, find how many refrigerators and washing machines he should sell for maximum profit.