dondre54

dondre54

07.05.2021 •

Mathematics

Each of three students wrote an equation. • Nikole wrote 5 2/8

• Erik wrote .5.14=21/4

• Keisha wrote .4 1/5=21/4

Which of these students wrote an equation that is true?

Solved

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Ответ:

kwilly60

04.03.2022

$(a)\ Ratio = 1.43$

$(b)\ Ratio = 0.864$

Step-by-step explanation:

Given

$French\ Week= 10\ days$

$French\ days= 10\ hours$

$French\ hours= 100\ minutes$

$French\ minutes= 100\ seconds$

Solving (a): Ratio of french minute to standard week

This is calculated as:

$Ratio = \frac{French\ week}{Standard\ week}$

$Ratio = \frac{10\ days}{7\ days}$

$Ratio = \frac{10}{7}$

Ratio = 1.43

Solving (b): Ratio of french second to standard second

This is calculated as:

$Ratio = \frac{French\ second}{Standard\ second}$

Convert french days to seconds

$French\ days= 10\ hours$

$French\ days = 10hr * 100mins/hr * 100secs/min$

$French\ days = 10 * 100 * 100secs$

$French\ days = 100000\ secs$

This gives:

$French\ second = \frac{1}{100000}day$

For standard day, we have:

$Standard\ second = \frac{1}{86400}day$

So, we have:

$Ratio = \frac{1/100000}{1/86400}$

Rewrite as:

$Ratio = \frac{1}{100000} \div \frac{1}{86400}$

$Ratio = \frac{1}{100000} * \frac{86400}{1}$

$Ratio = \frac{86400}{100000}$

Ratio = 0.864

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