A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool. Each minute, the faucet allows 10/34 gallons of water to enter the pool, and the drain allows 12/13 gallons to leave the pool.

What is the change in the amount of water in the pool after 1 1/2 minutes?

Enter your answer as a simplified mixed number by filling in the boxes.

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Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part 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 (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de