Question

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion Which of the following proportions are correct?


A. 12.5 cm/1 cm = 140mm/x

B. 10mm/1 cm = 140mm/x

C. 1 cm/10 mm = 12.5 cm/x

D. 10 mm/1 cm= x/140 mm

Answer 1

The correct proportions to compare 12.5 centimeters and 140 millimeters are A and C.

Step-by-step explanation:

Proportions express the equality of two ratios. In a proportion, the cross-products are equal. Mathematically, if a/b = c/d, then a and d are called extremes, and b and c are called means. Proportions are commonly used in various fields, such as mathematics, science, and finance, to compare quantities. The correct proportions to compare 12.5 centimeters and 140 millimeters are:

1. A. 12.5 cm/1 cm = 140mm/x
2. C. 1 cm/10 mm = 12.5 cm/x

These proportions allow you to compare the measurements in the same unit, either centimeters or millimeters. By cross-multiplying and solving the equations, you can determine if 12.5 centimeters is greater than 140 millimeters.

Answer 2

First we need to have same units before comparing them. That is, either both of them are in cm or both of them are in mm. So if we need to convert 12.5 cm to mm, we know that 1 cm =10 mm. So we have to find out how many mm are in 12.5 cm. And let 12.5 cm =x mm. So to find the value of x , we set a proportion and solve for x. That is

`(1cm)/(10mm)=(12.5cm)/(x mm)`

The units cancel out and we do cross multiplication. That is

`1*x =12.5*10`

x=125

So 12.5 cm =125 mm. Therefore the correct proportion is C.