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Inessa [10]
2 years ago
3

in april the vega family gets 400 text messages included in their plant.together,tomas and marisol use half of the messages.javi

er and sergio use 120 messages.carmen uses the rest of the messages.write and evaluate and expression to find the number of messages carmen uses.show your work
Mathematics
2 answers:
DerKrebs [107]2 years ago
5 0
Ok half of 400 is 200 so 400-200=200. And so 200-120=80 and since Carmen used all the messages after that, Carmen used 80 messages.
liubo4ka [24]2 years ago
4 0

Answer: carman used 80

Step-by-step explanation:

half of 400 (the amount of texts per month) is 200, so then you subtract 200 - 120 ( the amount of messages javier and sergio used) that equals 80 so the amount of messages carman used was 80

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2 years ago
.580 80 repeating as fraction
denis-greek [22]
First off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.

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anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
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and you can check that in your calculator.
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