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natulia [17]
2 years ago
13

Write -0.5 repeating as a fraction in simplest form​

Mathematics
2 answers:
mario62 [17]2 years ago
4 0
The answer is 5/9.
(P.S. I got the step by step solution from a Socratic Question and Answer website)

Semmy [17]2 years ago
4 0

let's start by making the expression the recurring value, and then we'll multiply it by some power of 10 so that we move the recurring decimal over to the left, and then again by a power of 10 so we move a second part of the recurring decimal over, let's proceed,

\bf x = 0.\overline{5}~\hfill \begin{array}{llll} 10\cdot x&=&5.\overline{5}\\\\ 100\cdot x&=&55.\overline{5} \end{array}~\hfill \begin{array}{rllll} \stackrel{100x}{55.\overline{5}}\\\\ -\stackrel{10x}{5.\overline{5}}\\\cline{1-1} 50 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=50\implies 90x=50\implies x=\cfrac{50}{90}\implies x=\cfrac{5}{9}\implies \stackrel{x = -0.\overline{5}}{x=-\cfrac{5}{9}}

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2 years ago
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Damm [24]

Answer:

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Attached is the image used in the question;

Step-by-step explanation:

Applying the law of cosine;

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3 years ago
A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, nega
Yuki888 [10]

Answer:

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Step-by-step explanation:

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

5F + -9 C = 160

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2 years ago
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