Question

A number line goes from 0 to 30. Closed circles are at 6 and 25. A line is drawn from point 6 to point 25. Ari is swimming a 25-meter race. After swimming 6 meters, she catches up to Amanda in a ratio of 7:3 from the 6-meter mark. At what meter mark does Ari catch up to Amanda? Round to the nearest tenth, if necessary. Ari catches up to Amanda at meters.

Answer 1

The position on the meter mark where Ari catches up with Amanda is 19.3 m.

The given parameters:

• Range of the number line, = 0 to 30
• Position of the closed circles, = 6 and 25
• The ratio between the initial position and final position of Ari = 7:3

The distance between 6 m mark and 25 m mark is calculated as follows;

$d = 25 \ m - \ 6 \ m\\\\\d = 19 \ m$

The distance traveled by Ari before catching up with Amanda is calculated as follows;

total ratio = 7 + 3 = 10

$distance = \frac{7}{10} \times 19 \ m\\\\distance = 13.3 \ m$

The position of Ari from the 6 m mark is calculated as follows;

$position = 6 \ m \ + \ 13.3 \ m\\\\position = 19.3 \ m$

Thus, the position on the meter mark where Ari catches up with Amanda is 19.3 m.

Learn more about partition of line segments here: brainly.com/question/11764811

Answer 2

Answer:

The above answer is correct! The answer is 19.3 meters :)

Explanation:

adding a ss for proof!

hope this helps :D