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Mathematics

2 answers:

faust18 [17]4 years ago

7 0

Answer:

Step-by-step explanation:

Let's set this up as an equation.

$3^{12} * x = 3^{15}$

$x = \frac{3^{15} }{3^{12}}$

We know that dividing with exponents means we subtract the exponents. 15-12 = 3.

$x = 3^{3} = 3*3 * 3 = 27$

mars1129 [50]4 years ago

3 0

Answer:

Step-by-step explanation:

because it is exponentially 3 times bigger. So with exponents 3 to the 3rd power would be 27!

Hope this helped!!

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If we take 1200 as the 100%, how much percentage is 700 of it?

well $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1200&100\\
700&x
\end{array}\implies \cfrac{1200}{700}=\cfrac{100}{x}\implies x=\cfrac{700\cdot 100}{1200}
\\\\\\
x=\cfrac{175}{3}$

so, (175/3)% or roughly 58.3%

now, how much is (175/3)% of 15000 ?
well, if we take 15000 as the 100%
then $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15000&100\\
x&\frac{175}{3}
\end{array}\implies \cfrac{15000}{x}=\cfrac{100}{\frac{175}{3}}
\\\\\\
\cfrac{15000\cdot \frac{175}{3}}{100}=x\implies \cfrac{5000\cdot 175}{100}=x$