The cost of renting a jumping castle includes a fixed charge of525 for setup and delivery, and a variable charge of 175 for each hour the jumping castle is rented for. Maria would like to rent a jumping castle for a party, and is willing to spend a minimum amount of 700 and a maximum amount of 1050. Solve for the range of hours t that she could hire the jumping castle for. Give your answer as an inequality.

Write a positive or negative number to represent each situation. a. you win 150 dollars in a contest b. a loss of 15 yards in a football game c. 75 feet below sea level d. 35 degrees above 0 f e. a debt of 24.75 dollars

Which of the following could be the ratio of the length of the longer leg 30-60-90 triangle to the length of its hypotenuse? check all that apply. a. 313 6 b. 3: 215 c. 18: 13 d. 1: 13 e. 13: 2 of. 3: 15

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.