[tex]x = 4.82[/tex]
Step-by-step explanation:
Given equation is:
6.2 ÷ (2x+1) = 2 1/3 ÷4
Applying the division operation
[tex]\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\[/tex]
Cross multiplication
[tex]6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4[/tex]
Dividing both sides by 14
[tex]\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....[/tex]
Rounding off to nearest hundredth
[tex]x = 4.82[/tex]
Keywords: Linear equation, variables
Learn more about linear equation at:
- brainly.com/question/9969022
- brainly.com/question/9801816
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