2 years ago

Pls help and show work so I can understand

Mathematics

1 answer:

masya89 [10]2 years ago

7 0

Since there is no x it’s simply moving down 4. There is no movement left or right (x) just simply down for -4.

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A tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank

jolli1 [7]

if we take 64 to be the 100%, how much is 6¼% off of it?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}$