Shari and Ana are playing games at an arcade. Shari has $37.50 and is playing $0.50 games. Ana has $42.75 and is playing $0.75 games. Sandor wants to know when Shari and Ana will have the same amount of money remaining. So he wrote and solved this equation. Let x = number of games played. Equation: 37.50 – .5x = 42.75 – .75x Step 1: 37.50 – 1.25x = 42.75 Step 2: – 1.25x = 5.25 Step 3: – 4.2 = x Sandor knows his answer is incorrect because a negative number of games cannot be played. What was Sandor’s mistake? The variable x should represent the amount of money left. The equation should have sums on both sides. In step 1, he should have added .75x to both sides. In step 3, he should have added 1.25x to both sides.

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?