Question

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

Answer 1

$\huge\bf Question:—$

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

$\bf \huge \: Solution:—$

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

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

$\sf \longmapsto6.2 + 0.4x = 8.05$

$\sf \longmapsto0.4x+6.2=8.05$

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

$\sf\longmapsto0.4x+6.2−6.2=8.05−6.2$

$\sf \longmapsto0.4x=1.85$

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

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

$\boxed{\bf \: Cross-multiply:—}$

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

$\sf \longmapsto \: 0.16x = 0.74$

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

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

$\boxed{ \bf \: Cross-multiply:—}$

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

$\sf \longmapsto0.0256x=0.1184$

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

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

$\sf \longmapsto \: x = 4.625$

$\underline{{\boxed{\bf \: Answer:—}}}$

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

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

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

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

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

Answer 2

$\: \: \: \:$

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

Step-by-step explanation:

$6.2 + 0.4x = 8.05$

• move the constant to the right

$0.4x = 8.05 - 6.2$

• calculate

$0.4x = 1.85$

• divide both sides

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

hope it helps