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3 years ago

If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?

Mathematics

2 answers:

suter [353]3 years ago

8 0

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

nordsb [41]3 years ago

6 0

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

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3 years ago

What is the logarithmic form of the solution to 102t = 9?

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Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

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$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

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Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

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Step-by-step explanation:

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Step-by-step explanation:

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