Question

Веревка разделена на три части в отношении 5:7:13.Самый длинный из кусков длиннее короткого на 2м 88 см.Найдите длину каждого РЕШИТЕ !!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Пусть х-одна часть, тогда 5х-меньший кусок, 13х -больший кусок, 7 х- средний кусок.
по условию третий кусок на 288 см больше первого
сост.ур
13х-5х=288
8х=288
х=36-одна часть
36*5=180 см - меньший кусок
36*7=252 см -средний кусок
36* 13=468 см -больший кусок
ответ: 180 см, 252 см, 468 см
 

Answer 2

Problem Analysis

We are given a rope that is divided into three parts in the ratio of 5:7:13. The longest piece is 2 meters and 88 centimeters longer than the shortest piece. We need to find the length of each part.

Solution

Let's assume the length of the shortest part is x meters.

According to the given information, the longest part is 2 meters and 88 centimeters longer than the shortest part. We can convert 2 meters and 88 centimeters to meters by adding 2 meters and 0.88 meters. So, the length of the longest part is x + 2.88 meters.

Now, we can set up the equation based on the ratio of the three parts:

5x : 7x : 13x

Since the longest part is 2.88 meters longer than the shortest part, we can write the equation:

13x = 5x + 2.88

To solve for x, we can subtract 5x from both sides of the equation:

13x - 5x = 2.88

Simplifying the equation:

8x = 2.88

Now, we can solve for x by dividing both sides of the equation by 8:

x = 2.88 / 8

Calculating the value of x:

x = 0.36 meters

So, the length of the shortest part is 0.36 meters.

To find the lengths of the other two parts, we can multiply x by the corresponding ratios:

Shortest part: 0.36 meters Middle part: 7x = 7 * 0.36 = 2.52 meters Longest part: 13x = 13 * 0.36 = 4.68 meters

Therefore, the lengths of the three parts are: - Shortest part: 0.36 meters - Middle part: 2.52 meters - Longest part: 4.68 meters

Please note that the lengths are rounded to two decimal places.

I hope this helps! Let me know if you have any further questions.