The cafeteria manager in an office building surveyed workers in the office building about their soup preferences. the results are shown in the two-way relative frequency table below. lentil mushroom chicken tomato total female 0.17 0.08 0.07 0.14 0.46 male 0.05 0.11 0.13 0.25 0.54 total 0.22 0.19 0.20 0.39 1.00 use the information provided in the table to match each description with the correct percentage of workers.

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

[10 points, algebra 2-simplifying complex fractions]according to my answer key the restrictions are -1 and 4. but why not positive 1?

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.