we know that
A machine produces [tex] 75 [/tex] widgets an hour
How many widgets does it produce in [tex] 6 [/tex] minutes?
one hour is equal to ------> [tex] 60\ minutes [/tex]
by proportion
[tex] \frac{75}{60} =\frac{x}{6} \\\\ 60*x= 75*6\\\\ x=\frac{75*6}{60} [/tex]
[tex] x=7.5\ widgets [/tex]
therefore
the answer is
A machine produces [tex] 7\ widgets [/tex] in [tex] 6 [/tex] minutes