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Romashka [77]
3 years ago
8

14. A recipe calls for % cup brown sugar for

Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

1 1/8 cup of brown sugar.

Step-by-step explanation:

Here is the correct question: A recipe calls for 3/4 cup brown sugar for  each 2/3 cup white sugar. How many cups of  brown sugar per cup of white sugar is this?    

Given: 3/4 cup of brown sugar for each 2/3 cup of white sugar.

Finding requirement of brown sugar for 1 cup of white sugar.

∴ Each 2/3 cup of white sugar require 3/4 cup of brown sugar.    

Now, 1 cup of white sugar require brown sugar = \frac{\frac{3}{4} }{\frac{2}{3} } cups

 = \frac{3}{4} \times \frac{3}{2} = \frac{9}{8} \ cup

Thus, we can say \frac{9}{8} = 1 1/8 cup of brown sugar is required per cup of white sugar.

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We\ are\ given:\\Diameter\ of\ the\ first\ volleyball=8\ inches \\Diameter\ of\ the\ second\ volleyball=9\ inches\\Diameter\ of\ the\ third\ volleyball= 10\ inches.\\Hence,\\We\ know\ that,\\If\ the\ side\ of\ the\ cube\ box\ is\ s, it's\ Total\ Surface\ Area\ =No.\ of\\ faces\ in\ a\ regular\ polyhedron\ *Area\ of\ each\ face\ of\ the\ polyhedron=6*s^2=6s^2\\Hence,\\Lets\ apply\ this\ equation\ in\ finding\ the\ area\ of\ material\ required\ for\ the\\ three\ cases.\\

As\ the\ volleyball\ should\ wholly\ fit\ into\ the\ box,\ the\ diameter\ of\ the\\ volleyballs\ would\ be\ the\ side\ of\ the\ cube\ box.\\Hence,\\For\ the\ first\ volleyball,\\Diameter\ of\ the\ first\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ first\ volleyball=8\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ first\ box=6s^2=6*8*8=384\ inches^2

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For\ the\ third\ volleyball,\\Diameter\ of\ the\ third\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ third\ volleyball=10\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ third\ box=6s^2=6*10*10=600\ inches^2

Hence,\\If\ you\ are\ asked\ the\ Total\ Area\ to\ make\ all\ the\ boxes,\\ you\ just\ add\ them\ together.\\Hence,\\Total\ Area\ of\ Material\ required\ to\ make\ the\ three\ boxes=384+486+600=1470\ inches^2

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