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Brrunno [24]
3 years ago
9

Covert 1/4 to a decimal

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0
1/4 as a decimal would be 0.25
SCORPION-xisa [38]3 years ago
4 0
(1/4) * 100 = 25
So the decimal is 0.25
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Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

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So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

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x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

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