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lukranit [14]
3 years ago
15

Five oranges cost $2.Find the cost of two dozen oranges.

Mathematics
2 answers:
natulia [17]3 years ago
5 0
If 5 oranges cost $2 you can divide 2 by 5 to get the cost of each individual orange and then you must multiply that by 24 to get the total cost.
kaheart [24]3 years ago
4 0
So if 5 oranges cost 2 dollars, then 10 cost 4, 15 cost 6, 20 cost 8,
and 25 cost 10. We need 24, so now we need to find out the cost for 24 oranges. 
Looking at how much they go up by, we can see that each time it goes up by about 0.5
So your final answer would be: 2 dozen oranges cost $9.50
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Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

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2) The formula for the volume of a cylinder is V = π (radius)^2 * height

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=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

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V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

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