Translate to a system of three equations; then solve.Michael's bank contains only nickels, dimes, and quarters. There are 42 coins in all, valued at $3.75. The number of nickels is 6 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

A. 5
B. 7
C. 30
D. 10


Answer: A

Mathematics

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Solve the problem.The temperature of water in a certain lake on a day in October can be determined by using the model  where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 9 degrees? (Round to the nearest foot.)

A. 45 B. 12 C. 67 D. 30

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Identify the equation without completing the square.2x2 - 3y2 + 5x + 2y + 3 = 0

A. circle B. ellipse C. parabola D. hyperbola

Mathematics