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topjm [15]
3 years ago
10

Today, 9 friends went out for lunch. Their total bill was $47.68, including tax and gratuity. One of them ordered only soda and

needed to
pay only $1.12. The other 8 friends ordered the same daily special. How much did each of the other friends need to pay?
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

$5.82

Step-by-step explanation:

Start with the total amount, $47.68.

Subtract the amount o the soda.

$47.68 - $1.12 = $46.56

$46.56 was the cost of the food of the other 8 people.

$46.56/8 = $5.82

Answer: $5.82

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Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

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Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

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