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1. Aziza uy vazifasini 1 h 20 min da bajardi. Bu vaqtning \( \frac{1}{4} \) qismini u matematikaga sarfladi, yana 15 minut ona tili bilan shug'ullandi. \( U \) vaqtining \( \frac{1}{5} \) qismida she'r yodladi, qolgan vaqtini esa Tabiiy fanlarda berilgan loyiha ishiga sarfladi. Aziza loyiha ishiga qancha vaqt sarflagan?

Ask by Maxwell Tyler. in Uzbekistan
Jan 21,2025

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Answer

Азиза потратила на проект 29 минут.

Solution

Давайте пошагово решим задачу. 1. **Общая продолжительность времени:** \[ U = 1 \text{ час } 20 \text{ минут} = 80 \text{ минут} \] 2. **Время, потраченное на математику:** \[ \frac{1}{4}U = \frac{1}{4} \times 80 = 20 \text{ минут} \] 3. **Время, потраченное на родной язык:** \[ 15 \text{ минут} \] 4. **Время, потраченное на заучивание стихотворения:** \[ \frac{1}{5}U = \frac{1}{5} \times 80 = 16 \text{ минут} \] 5. **Общее время, затраченное на математику, родной язык и стихотворение:** \[ 20 + 15 + 16 = 51 \text{ минут} \] 6. **Оставшееся время, потраченное на проект:** \[ U - 51 = 80 - 51 = 29 \text{ минут} \] **Ответ:** Азиза потратила на проект **29 минут**.

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Aziza vazifasini bajarish uchun jami 1 soat 20 daqiqa (ya'ni 80 daqiqa) vaqt sarf etdi. Bu vaqtdan \( \frac{1}{4} \) qismini matematikaga sarfladi, ya'ni 80 daqiqaning \( \frac{1}{4} \) qismi 20 daqiqa. Shundan so‘ng, u ona tili bilan 15 daqiqa, shunday qilib, umumiy 20 + 15 = 35 daqiqa vaqt sarflagan. Endi, Aziza yangi vaqtni aniqlashimiz kerak: 80 - 35 = 45 daqiqa. U vaqtining \( \frac{1}{5} \) qismida she'r yodladi, bu 45 daqiqaning \( \frac{1}{5} \) qismi 9 daqiqa. Endi loyiha ishiga sarflangan vaqt: 45 daqiqa - 9 daqiqa = 36 daqiqa. Demak, Aziza loyiha ishiga 36 daqiqa vaqt sarflagan.

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