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Colt1911 [192]
3 years ago
6

Three friends decide to evenly split their bill at a restaurant. The total bill is $84.99 and they will have to pay an additiona

l $5.10 tax. One of the friends determines that each person owes $45.04. Estimate the amount each person should owe. Is the friend's calculation reasonable? Select from the drop-down menus to complete the sentence. The friend's calculation because each person should owe about .
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Given : The Total Bill at the Restaurant is $84.99

Given : The Additional Tax is $5.10

⇒ Total Bill Including the Tax is : (84.99 + 5.10) = $90.09

Given : Three Friends decide to evenly split their Bill

⇒ $90.09 should be Divided into 3 Equal Parts

\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = (\frac{90.09}{3})}

\mathsf{\implies The\;Amount\;each\;person\;should\;owe\;is = 30.03\;Dollars}

His Friend Calculation is <u>not</u> Reasonable

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General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

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To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

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Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

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