How many 5/8 foot pieces of wood can you cut from a board that is 4 5/8 feet long?

1 answer:

3 0

So how many of 5/8 wood pieces out of a 4 5/8 board
let's make the board size into a improper fraction so 8*4+5 = 37
so the board is 37/8
how many times can 5/8 go into 37/8
37/8 / 5/8
"Keep, change, flip" (for division of fractions)
keep the first number, change the sign into multiplication, and flip the last fraction
37/8 * 8/5
That is 7 2/5
Only 7 full 5/8 feet pieces of wood can be cut from a board that is 4 5/8 feet long (remainder 2/5)

Hope this helps :)

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The value of a motorbike depreciates by 32% per year. Work out the current value of a motorbike bought 5 years ago for £3600

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$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &3600\\
r=rate\to 32\%\to \frac{32}{100}\to &0.32\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
A=3600(1-0.32)^5\implies A=3600(0.68)^5\implies A\approx 523.41601$