Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
Step-by-step explanation:
Given the expression [tex]5=\frac{2}{3}x[/tex]
.-We can make x the subject of the formula and solve in many different ways:
#Multiply both sides by the reciprocal of 2/3:
[tex]5=\frac{2}{3}x\\\\\\x=\frac{3}{2}\times 5\\\\x=\frac{15}{2}[/tex]
#Multiply divide both sides by the factor of x:
[tex]5=\frac{2}{3}x\\\\\frac{5}{\frac{2}{3}}=\frac{\frac{2}{3}x}{\frac{2}{3}}\\\\x=\frac{5}{\frac{2}{3}}[/tex]
Hence, the 3 possible solutions are C, D and E:
[tex]x=5\div \frac{2}{3}\\\\x=\frac{15}{2}\\\\x=\frac{3}{2}\times 5[/tex]
