Question

11.) true or false: a short way to explain the means - extremes property is to say“cross - multiply and divide”.
12.) true or false: 20 mph is a rate.
13.) true or false you can write the ratio 5:2 as \\( \frac{2}{5} \\).

Explanation:

11.

Step1: Recall Means - Extremes Property

The Means - Extremes Property (also known as the cross - multiplication property) for a proportion \(\frac{a}{b}=\frac{c}{d}\) (\(b
eq0,d
eq0\)) states that \(ad = bc\). It does not involve division in its basic statement.

12.

Step1: Define a rate

A rate is a ratio that compares two different kinds of quantities. \(20\) mph (miles per hour) compares distance (miles) and time (hours).

13.

Step1: Understand ratio to fraction conversion

For a ratio \(a:b\), the fraction form is \(\frac{a}{b}\). For the ratio \(5:2\), the fraction form is \(\frac{5}{2}\), not \(\frac{2}{5}\).

Answer:

1. False
2. True
3. False