The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: step 1: 4(2x − 4) = 8 + 2x + 8 step 2: 6x − 8 = 16 + 2x step 3: 6x − 2x = 16 + 8 step 4: 4x = 24 step 5: x = 6 in which step did the student first make an error and what is the correct step? step 2; 8x − 4 = 2(6 + x + 6) step 2; 8x − 16 = 16 + 2x step 3; 6x − 2x = 16 − 8 step 3; 6x + 2x = 16 + 8

Carmen begins her next painting on a rectangular canvas that is 82.7 cm long and has a area of 8,137.68 cm2. will the painting fit in a frame with an opening that is 82.7 cm long and 95 cm wide? explain

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

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