Question

Write the ratio of the first measurement to the second measurement. Compare in millimeters.

Answer 1

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

Answer 2

Answer:

$\frac{A}{B}=\frac{8mm}{19mm}$

Step-by-step explanation:

A ratio is a quantified relation between two magnitudes that represent the same proportion.

In this case, those magnitudes are

$A=40mm\\B=9.5mm$

Where $A$ and $B$ are balls' diameters.

The ratio would be the quotient between them

$\frac{A}{B}=\frac{40mm}{9.5cm}$

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

$9.5cm\frac{10mm}{1cm}=95mm$

Now, we replace this transformation in the ration, and that would be the answer

$\frac{A}{B}=\frac{40mm}{95mm}$

If we simplify,

$\frac{A}{B}=\frac{8mm}{19mm}$