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Lilit [14]
3 years ago
7

Jess recently started a business producing cosmetic products made from natural ingredients. She wants to advertise her products

by distributing bags of samples in her neighborhood. She calculated that it takes a person 2 minutes to prepare one bag.
How many hours will it take to prepare 1200 bags of samples if Jess and 7 of her friends work simultaneously?
Mathematics
2 answers:
vladimir2022 [97]3 years ago
7 0
6 hours I believe. I got the answer by multiplying 1200 by 2 because 2 seconds per bag then you divide by 7 then take that answer and divide by 60 because 60 minutes in an hour. 
mylen [45]3 years ago
4 0
Since it takes 2 minutes per bag, multiply that by how many bags need to be prepared and you have 2400 minutes. Now divide that by 60 to find out how many hours it will take (and this is currently only for one person) and you'll get 40. Now since we have 8 people working together, divide 40 by 8, and there's your answer. It will take 5 hours.
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Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

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Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

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y----> the height of the larger pyramid  

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Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

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Let

z----> the scale factor

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\frac{7}{10}^{3}=\frac{x}{y}

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Part c) The volume of the smaller pyramid

we know that

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so

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we have

z=\frac{7}{10}

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substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

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