Вопрос задан 03.09.2020 в 10:21. Предмет Математика. Спрашивает Филонова Настя.

От рулона материи, в котором было 120 м, сначала отрезали 2/5, а потом 3/4 остатка. Сколько материи

осталось в рулоне? Решите задачу прямо сейчас, пожалуйста!!!
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Problem Analysis

We are given a roll of fabric that initially measures 120 meters. We are told that 2/5 of the fabric is cut off, and then 3/4 of the remaining fabric is cut off. We need to determine how much fabric is left on the roll.

Solution

To find the amount of fabric left on the roll, we need to subtract the cut-off portions from the initial length of the fabric.

Let's calculate the amount of fabric that was cut off in two steps: 1. First, we calculate the amount of fabric that was cut off initially, which is 2/5 of the total length. 2. Then, we calculate the amount of fabric that was cut off from the remaining fabric, which is 3/4 of the remaining length after the initial cut.

Let's calculate the amount of fabric left on the roll step by step:

1. Calculate the amount of fabric cut off initially: - Initial length of the fabric: 120 meters - Amount cut off initially: (2/5) * 120 meters

2. Calculate the amount of fabric remaining after the initial cut: - Remaining length after the initial cut: Initial length - Amount cut off initially

3. Calculate the amount of fabric cut off from the remaining fabric: - Amount cut off from the remaining fabric: (3/4) * Remaining length after the initial cut

4. Calculate the amount of fabric left on the roll: - Fabric left on the roll: Remaining length after the initial cut - Amount cut off from the remaining fabric

Let's perform the calculations:

1. Calculate the amount of fabric cut off initially: - Amount cut off initially: (2/5) * 120 meters = 48 meters

2. Calculate the amount of fabric remaining after the initial cut: - Remaining length after the initial cut: 120 meters - 48 meters = 72 meters

3. Calculate the amount of fabric cut off from the remaining fabric: - Amount cut off from the remaining fabric: (3/4) * 72 meters = 54 meters

4. Calculate the amount of fabric left on the roll: - Fabric left on the roll: 72 meters - 54 meters = 18 meters

Therefore, there are 18 meters of fabric left on the roll.

Answer

There are 18 meters of fabric left on the roll.

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