I need help with questions 1-9

UNIT 3 - Test 2 Review Find the missing value in the proportions below. e T 4 p 2 T 3 24 (3) Which of the following represent the same proportional relationship as ; = =7 56 x a == 24 56 x 56 b. i 3 24 3 x Cooon =i 24 56 24 56 d = 3 x x 24 e = 3 56 Set up and solve the PROPORTIONS below. (4) A recipe calls for 5 cups of flour for every 2 cups of sugar. If | want to make the recipe using 8 cups of flour, how much sugar should | use? (5) Suppose a 30 mg dose of a particular medication is recommended for a dog that weighs 95 Ibs. How many mg of this medication should be given to a dog weighing 18 Ibs.? (6) Cefaclor is a medication used for infections. It is often given in liquid form. A pharmacist is mixing a prescription for a child. The instructions indicate that 145 mg of Cefaclor should be mixed with 5 ml of fluid. If the child only requires a dosage of 100 mg of Cefaclor, how much fluid should be in each dosage? Set up the VARIATION equations and solve for the indicated value. (7) \"m varies inversely as the square of r* \" a. Set up the equation. b. Determinek whenr=5andm=9. c. Find mwhenr=4.5. (8) The population of a certain species of bacteria varies directly with the temperature. When the temperature is 35 degrees Celsius, there are 7 million bacteria. How many millions of bacteria are there when the temperature is 38 degrees Celsius? (9) Use the properties of exponents to simplify the following. d7 3 -8 4 x FE (%3 2572 m>m