Answer:
[tex]\frac{A}{B}=\frac{8mm}{19mm}[/tex]
Step-by-step explanation:
A ratio is a quantified relation between two magnitudes that represent the same proportion.
In this case, those magnitudes are
[tex]A=40mm\\B=9.5mm[/tex]
Where [tex]A[/tex] and [tex]B[/tex] are balls' diameters.
The ratio would be the quotient between them
[tex]\frac{A}{B}=\frac{40mm}{9.5cm}[/tex]
However, this ratio isn't ratio yet, because it's not based on the same magnitude, we need to transform 9.5 centimeters to millimeters.
We know that 1 centimeter equals 10 milimeter, so, 9.5 centimeters would be
[tex]9.5cm\frac{10mm}{1cm}=95mm[/tex]
Now, we replace this transformation in the ration, and that would be the answer
[tex]\frac{A}{B}=\frac{40mm}{95mm}[/tex]
If we simplify,
[tex]\frac{A}{B}=\frac{8mm}{19mm}[/tex]
