Respuesta :
B)
Explanation
Step 1
A) 5.8 times a number is 2
Let x represents the number, then
[tex]\begin{gathered} a)5.8x=2 \\ 5.8x=2 \\ \text{divide both sides by 5.8} \\ \frac{5.8x}{5.8}=\frac{2}{5.8} \\ x=0.34 \end{gathered}[/tex]Hence, A) is not the solution
Step 2
B) 2 times a number is 5.8
Let x represents the number
[tex]\begin{gathered} 2\text{ times a number is 5.8} \\ 2\cdot x=5.8 \\ 2x=5.8 \\ \text{divide both sides by 2} \\ \frac{2x}{2}=\frac{5.8}{2} \\ x=2.9 \end{gathered}[/tex]Hence, the unknow number is 2.9, B is a solution
Step 3
C) 2.9 times a number is 5.8
Let x represents the number, then
[tex]\begin{gathered} 2.9\text{ times a number is 5.8} \\ 2.9\cdot x=5.8 \\ 2.9x=5.8 \\ \text{divide both sides by 2.9} \\ \frac{2.9x}{2.9}=\frac{5.8}{2.9} \\ x=2 \end{gathered}[/tex]Hence, C) is not a solution
Step 4
Finally
D) 5.8 times a number is 2.9
Let x represents the number, then
[tex]\begin{gathered} 5.8\text{ times a number is 2.9} \\ 5.8\cdot x=2.9 \\ 5.8x=2.9 \\ to\text{ solve, divide both sides by 5.8} \\ \frac{5.8x}{5.8}=\frac{2.9}{5.8} \\ x=\frac{1}{2} \end{gathered}[/tex]Hence, D) is not the solution
