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4 years ago

70 dm + 3 m = how many m?

Mathematics

1 answer:

mariarad [96]4 years ago

5 0

70dm=7m
7m+3m=10m

metric system:
K,H,da,(meter,liter,gram),d,c,m

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What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2

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$\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2} \end{gathered}$}$

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

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$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

Use the distributive property to multiply −4 times x 4/7.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1) } \end{gathered}$}$

Multiply −4 by 4/7.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=-50 } \end{gathered}$}$

Add 7 to both sides.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}$

The fraction $\bf{\frac{-43}{-4}}$ can be simplified to $\bf{\frac{43}{4}}$ by removing the negative sign from the numerator and denominator.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}$

simplify

$\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}$

<h2>{ Pisces04 }</h2>

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