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blsea [12.9K]
3 years ago
11

Ms. Forestal is purchasing greeting cards in preparation for the upcoming winter holidays. At Store A she can get 3 greeting car

ds for $15.00. At Store B, she can get 6 greeting cards for $24. Which is the better buy?
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

store B

Step-by-step explanation:

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\displaystyle\bf\\Explanations:\\\\The~similarity~ratio~of~two~similar~cones=k\\\\k=is~the~ratio~between~2~corresponding~lengths\\\\k=\frac{R_1}{R_2}=\frac{h_1}{h_2}\\\\The~ratio~between~2~corresponding~areas~of~similar~cones=k^2\\\\\frac{Area~1}{Area~2}=k^2\\\\The~ratio~between~the~volumes~of~the~2~similar~cones=k^3\\\\\frac{Volume~1}{Volume~2}=k^3

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\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}

 

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Step-by-step explanation:

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I hope my answer help you, Greetings _/\_ /\

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