A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible
solutions are correct? Check all that apply.
•A circle and a line always intersect, so the system can have an infinite number of solutions.
•A circle and a line can intersect at one point, so the system can have one solution.
•A circle and a line can intersect at three points, so the system can have three solutions.
•A circle and a line can intersect twice, so the system can have two solutions.
•A circle and a line do not have to intersect, so the system can have no solution.

What values of c and d make the equation true?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?