Вопрос задан 07.05.2019 в 16:51. Предмет Математика. Спрашивает Костерина Карина.

У Ани две ленты: зеленая и желтая. Зеленая лента на 3дм длиннее желтой,. Аня отрезала от зеленой

ленты 6 дм, а от желтой 2 дм. Какая лента стала длиннее? На сколько сантиметров
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Отвечает Рукина Карина.
Когда она отрезала 6 дм то зеленая стала меньше на 3 дм чем жолтая, а когда она отрезала от жолтой 2 дм то она стала длиннее  всего на 1 дм.
Так что жолтая стала дленнее на 1 дм.
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Отвечает Смирнов Евгений.
желтая длинее зеленой на 1 дм или 10 см
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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

Аня has two ribbons: a green ribbon and a yellow ribbon. The green ribbon is 3 meters longer than the yellow ribbon. Аня cut off 6 decimeters (dm) from the green ribbon and 2 dm from the yellow ribbon. We need to determine which ribbon became longer and by how many centimeters.

Solution

To solve this problem, we need to compare the lengths of the ribbons before and after the cuts.

Let's assume the initial length of the green ribbon is x meters and the initial length of the yellow ribbon is y meters.

According to the given information, the green ribbon is 3 dm longer than the yellow ribbon. Since 1 meter is equal to 10 dm, we can write the equation:

x = y + 3 (Equation 1)

After cutting off 6 dm from the green ribbon, the length of the green ribbon becomes x - 0.6 meters. After cutting off 2 dm from the yellow ribbon, the length of the yellow ribbon becomes y - 0.2 meters.

We need to compare the lengths of the ribbons after the cuts to determine which ribbon became longer. Let's set up the following equation:

x - 0.6 > y - 0.2 (Equation 2)

Now, we can solve Equations 1 and 2 to find the lengths of the ribbons and determine which one became longer.

Calculation

Let's solve the equations:

From Equation 1, we have: x = y + 3

From Equation 2, we have: x - 0.6 > y - 0.2

Substituting the value of x from Equation 1 into Equation 2, we get: (y + 3) - 0.6 > y - 0.2

Simplifying the equation, we have: y + 2.4 > y - 0.2

Subtracting y from both sides, we get: 2.4 > -0.2

Since the inequality is true, it means that the green ribbon became longer than the yellow ribbon.

Answer

The green ribbon became longer than the yellow ribbon. However, we need to determine the exact difference in length in centimeters.

To find the difference in length, we need to subtract the length of the yellow ribbon from the length of the green ribbon after the cuts.

Let's assume the length of the green ribbon after the cuts is g meters and the length of the yellow ribbon after the cuts is y meters.

From Equation 1, we know that x = y + 3. Since we don't have the exact values of x and y, we cannot determine the exact difference in length.

Therefore, without the specific lengths of the ribbons, we cannot determine the exact difference in length in centimeters.

Please provide the specific lengths of the ribbons in order to calculate the exact difference in length.

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