Write a unit rate for each situation

a. 254 words typed in 4 minutes

b. 5 trays with 90 ice cubes

c. 4 hot dogs eaten in 45 seconds

d. 8 hours to drive 528 miles

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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)