Write a system of linear equations in three variables, and then use matrices to solve the system.Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 103 g protein, 93 g fat, and 135 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?
A. 7 mushrooms; 4 meatballs; 2 eggs
B. 2 mushrooms; 7 meatballs; 4 eggs
C. 4 mushrooms; 2 meatballs; 7 eggs
D. 8 mushrooms; 5 meatballs; 3 eggs
Answer: A
Mathematics
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Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.2% annually. Determine the half-life of this isotope, to the nearest year.
A. 347 years B. 3 years C. 250 years D. 151 years
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Divide. Write the answer as a mixed number as needed.
÷ 5
A. 
B. 
C. 30
D. 
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Find the absolute value.- 
A. 
B. - 
C. 0
D. 
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Solve.
= 
A. 9, -9 B. 9 C. 81 D. -9
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