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Murljashka [212]
3 years ago
9

During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

aining apples. On the third hour he sold 25% of the remaining apples, and so on, selling 5% more each following hour. If during the third hour he sold 34 kg of apples, how many kilograms of apples did he have initially?
Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

200 kg


Step-by-step explanation:

First hour he sold 15% <em>(remaining is 85%)</em>

Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold (0.2)(0.85)=0.17, which is 17% (remaining 85-17=68%)

Third hour he sold 25% of remaining <em>(which is 68%)</em> -- so he sold (0.25)(0.68)=17, which is 17%


In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):

\frac{0.17}{34}=\frac{1}{x}\\0.17x=34\\x=\frac{34}{0.17}=200

Initially the farm stand owner had 200 kg of apples.

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Answer: With no choices given here, here are a few possibilities.

If it is not a right triangle, the third side could be any number less than 50 cm

If it is a right triangle, the third side could be the hypotenuse, which would be 10√13 or about 36.05 cm.

If 30cm is the hypotenuse, the other side would be 10√5 or about 22.36 cm

Step-by-step explanation: If the two given sides add up to 50, they flatten out to a straight line, equal to the third side, so it is no longer a triangle. The third side must be less than the sum of the other two sides.

We can use the Pythagorean Theorem a² + b² = c² to calculate the lengths of the sides of a right triangle.

For example

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400 + 900 = c²

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3 years ago
I really need help with this. It's on a test due today, and the teacher said we can use any help we can get, so this is allowed.
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Given each bottle, match the Height vs. Volume graph that will be created as the bottle is consistently filled with a liquid.
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Bucket: <u>H</u>

Vase: <u>D</u>

Plugged funnel: <u>E</u>

The reason the above values are correct are as follows:

The formula for the volume of the cylindrical portion of the containers is;

V_{cylinder} = π·r²·h

∴ V_{cylinder} ∝ h

Rate of change, dV/dh = π·r²

Given that <em>r</em> is constant, dV/dh is constant

The formula for the volume of the spherical portion of the bottles is;

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Learn more about interpreting functions here:

brainly.com/question/17495022

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