3 years ago

What is the value of x? Enter your answer in the box. X=

Mathematics

1 answer:

Julli [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find the simplified form of the expression. Given your answer in scientific notation (8 x 10^4)(9 x 10^8)

Lady bird [3.3K]

$(8 \times {10}^{4} )(9 \times {10}^{8} ) \\ = 8 \times 9 \times {10}^{4} \times {10}^{8 } \\ = 72 \times {10}^{4 + 8} \\ = 7.2 \times 10 \times {10}^{12} \\ = 7.2 \times {10}^{13}$

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3 years ago

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?

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