Answer:
a = 18
Step-by-step explanation:
Step 1: Cross-multiply.
- [tex]0.5 * a = 10*0.9[/tex]
- [tex]0.5a =9[/tex]
Step 2: Divide both sides by 0.5
- [tex]\frac{0.5a}{0.5} =\frac{9}{0.5}[/tex]
- [tex]a = \frac{90}{5}[/tex]
- [tex]a = 18[/tex]
Step 3: Check if solution is correct.
- [tex]\frac{0.9}{0.5}=\frac{18}{10}[/tex]
- [tex]\frac{9}{5} =\frac{18}{10}[/tex]
- [tex]\frac{18/2}{10/2} =\frac{9}{5}[/tex]
- [tex]\frac{9}{5} =\frac{9}{5}[/tex]
Therefore, a = 18.
