Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
Answer:
you can solve the equations using the roots formula and then find the values from the range that they've given you
then you just have to plot the graph and connect the dots to make a line
Answer: The sequence converges. The limit it converges to is 0.
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The sequence is a geometric sequence with a = 72 and r = 1/4. Because 0 < r < 1, this means that the sequence gets smaller and smaller. The terms get closer to 0. They don't actually get there but the limiting value is 0.
Answer:
x = 4 y=540
Step-by-step explanation:
the x is going up by 4
the y is going up by 180
Answer:
It required 3 cones to fill up the cylinder with the same height and diameter.
Step-by-step explanation:
Let the radius of the cone and cylinder be r.
Let the height of the cone and cylinder be h.
As we know that 
....(1)
It can be observed that the volume of a cone is 
rd the volume of the cylinder. so, multiply the volume of the cone by 3.
(From equation 1 )
Hence, It required 3 cones to fill up the cylinder with the same height and diameter.
