Question

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

diameter of ball​ A: 40 mm
diameter of ball​ B: 9.5 cm
The ratio of the diameter of ball A to the diameter of ball B is

Answer 1

8:19

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

`(A)/(B)=(8mm)/(19mm)`

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

`(A)/(B)=(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(10mm)/(1cm)=95mm`

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

`(A)/(B)=(40mm)/(95mm)`

If we simplify,

`(A)/(B)=(8mm)/(19mm)`