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DiKsa [7]
3 years ago
8

Points representing 0.20, 0.35 and 0.42 are plotted on the number line.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

0.42 > 0.35

Step-by-step explanation:

' > ' means greater than

0.42 is greater than 0.35

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Answer: <em>m = 7</em>

Step-by-step explanation: In this equation, since a -5 is being multiplied by <em>m</em>, in order to get <em>m</em> by itself, we must divide both sides of the equation by -5.

On the left side, our -5's cancel out and we are left with <em>m</em>. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for <em>m</em> in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

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\huge{ \fbox{ \sf{5b + 9}}}

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\star{ \text{( \: 3b + 5) + (2b + 4)}}

\text{Step \: 1 \:  :  \sf{Remove \: the \: unnecessary \: parentheses}}

\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}

\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}

\mapsto{ \sf{3b + 5 + 2b + 4}}

\text{Step \: 2 \:  : Collect \: like \: terms.}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

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\mapsto{ \sf{5b + 5 + 4}}

\text{ Step \: 3 \:  :  \sf{Add \: the \: numbers : 5 \: and \: 4}}

\mapsto{ \boxed {\sf{ {5b + 9}}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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