On a typical night at a restaurant, the patio lights use 210.71 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?

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Ответ:

arletsolis23p2cjls

18.11.2020

Mathematics

$\large\boxed{1.\overline{21}=\dfrac{40}{33}}$

Step-by-step explanation:

$x=1.\overline{21}\\\\x=1.212121...\qquad\text{multiply both sides by 100}\\\\100x=121.212121...\\\\\text{subtract x from 100x}\\\\100x-x=121.212121...-1.212121...\\\\99x=120\qquad\text{divide both sides by 99}\\\\x=\dfrac{120}{99}\\\\x=\dfrac{120:3}{99:3}\\\\x=\dfrac{40}{33}$

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On a typical night at a restaurant, the patio lights use 210.71 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?