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Sliva [168]
2 years ago
10

6.2 + 0.4x = 8.05 as a decimal . do not round

Mathematics
2 answers:
s2008m [1.1K]2 years ago
5 0

\huge\bf Question:—

\sf \longmapsto \: 6.2 + 0.4x = 8.05

\bf \huge \: Solution:—

\boxed{ \underline{\bf \: Solving \:  for \:  x:—}}

\boxed{\bf \: Simplify \:  both  \: sides  \: of  \: the  \: uequation:—}

\sf \longmapsto6.2 + 0.4x = 8.05

\sf \longmapsto0.4x+6.2=8.05

\boxed{ \bf \: Subtract  \: 6.2  \: from  \: both  \: sides:—}

\sf\longmapsto0.4x+6.2−6.2=8.05−6.2

\sf \longmapsto0.4x=1.85

\boxed{ \bf \: Divide  \: both  \: sides \:  by  \: 0.4:—}

\sf \longmapsto \:  \dfrac{0.4x}{0.4}  =  \dfrac{1.85}{0.4}

\boxed{\bf \: Cross-multiply:—}

\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)

\sf \longmapsto \: 0.16x = 0.74

\boxed{\bf \: Divide  \: both  \: sides \:  by  \: 0.16:—}

\sf \longmapsto \:  \dfrac{0.16x}{0.16}  =  \dfrac{0.74}{0.16}

\boxed{ \bf \: Cross-multiply:—}

\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)

\sf \longmapsto0.0256x=0.1184

\boxed{ \bf \: Divide  \: both  \: sides \:  by  \: 0.0256:—}

\sf \longmapsto \:  \dfrac{0.0256x}{0.0256}  =  \dfrac{0.1184}{0.0256}

\sf \longmapsto \: x = 4.625

\underline{{\boxed{\bf \: Answer:—}}}

\boxed{\huge\red{\bf \: 4.625}}

\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}

\boxed{\bf \dfrac{37}{8}}

\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}

\boxed{\bf 4\dfrac{5}{8}}

KengaRu [80]2 years ago
4 0

\:  \:  \:  \:

\pink{x = 4.625} \\  \\ or \: in \: alternate \:  \: form \\  \\  \pink{x =  \frac{37}{8} }

Step-by-step explanation:

6.2 + 0.4x = 8.05

  • <u>move </u><u>the</u><u> constant</u><u> to</u><u> the</u><u> </u><u>right</u>

<u>0.4x = 8.05 - 6.2</u>

  • <u>calculate</u>

<u>0.4x = 1.85</u>

  • <u>divide</u><u> both</u><u> </u><u>sides</u>

<u>\pink{x = 4.625} \\  \\ in \:  \: alternate \:  \: form \\  \\  \pink{x =  \frac{37}{8} }</u>

<h2><u>hope</u><u> it</u><u> helps</u></h2>
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