Step-by-step explanation:
1. making the equation:
shoes = x
shirts = y
175 = x + 3y
x = 4y
2. graph it (I'm using desmos)
the green line is for 175 = x + 3y and the purple one is for x = 4y
3. find the price
x = 4y
175 = 4y + 3y
175 = 7y
y = 175/7 = $25
price of the shirt = $25
x = 4y = 4*25 = $100
price of a pair of shoes = $100
This 3D solid is a strange sideways bowl shape. Each cross section is a ring to show the empty space.
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Explanation:
Check out the diagram below. The graph was created with GeoGebra. We have y = x^2 in red and x = y^2 in blue.
The gray region is the region between the two curves. We spin this gray region around the horizontal green line y = 1 to generate the answer mentioned above.
Note how (1,1) is a fixed point that does not move as this is on the line y = 1. Every other point moves to sweep through 3D space to create the solid figure. One way you can think of it is to think of propeller blades. Or you can think of a revolving door (the door is "flat" so to speak, but it sweeps out a 3D solid cylinder).
