Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school's cross-country team
she needs to buy a total of at least 200 items without buying too many of just one item. the graph shows the
possible number of water bottles and pairs of socks that malia should buy, and the system of inequalities.
x + y 2 200
2x + 3y s 500
the given system of inequalities only makes sense in the first quadrant. what two inequalities could be added to the
system to indicate this? explain

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Finally, the arena decides to offer advertising space on the jerseys of the arena's own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14 what is this as a percentage? what is this as a fraction? what is the probability of not being shortlisted? give your answer as a decimal.

What is the answer to this problem? ignore the work. what is the correct answer?