Carrie has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 12 corsages and 31 boutonnieres, which brought in a total of $972. This year, she sold 33 corsages and 30 boutonnieres, for a total of $1,347. How much does each item sell for?

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12

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)

The radius of the circle below intersects the unit circle at (3/5,4/5). what is the approximate value of theta? 0.6 radians 1.0 radians 36.9 degrees 53.1 degrees