A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

The choice is the first one (positive)

Response:

Sampling with replacement signifies that a marble is selected, its color is noted, replaced, and the box is shaken before another selection is made.

There are marbles in total. The probability of selecting the first blue marble is , then when Maya places this marble back, the chance of picking the second blue marble remains constant. By applying the product rule, the probability of drawing 2 blue marbles consecutively is

The volume of a rectangular prism is calculated as
V = length × width × height

. For the juice carton, the volume is calculated as
V = 4 × 4 × 8 = 128 in³

. The volume formula for a cylinder is
V = Area of circular base × height = ×h, where denotes the radius of the circular base

. The volume for the cylindrical glass is computed as
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

. Therefore, the quantity of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


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