A red food coloring recipe says, "Mix `4` tbsp raspberry juice with `3` tbsp strawberry juice and `2` tbsp water." Kiran wants to make `45` tbsp of red food coloring. He has plenty of water, but he only has `24` tbsp of raspberry juice and `21` tbsp of strawberry juice.

What is the most food coloring Kiran can make using the ingredients he has?

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step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

1. perpendicular

2. parallel

3. perpendicular