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Answer :
Sure! Let's break down and solve each part of the question step-by-step:
1. Soap Production:
- A factory manufactures 568 soaps in one day.
- There are 7 days in a week, so the factory makes [tex]\( 568 \times 7 = 3,976 \)[/tex] soaps per week.
- Over 12 weeks, the factory will manufacture [tex]\( 3,976 \times 12 = 47,712 \)[/tex] soaps.
2. Milk Usage:
- Mrs. Menon starts with 10 liters of milk.
- She uses 3.8 liters in the morning and 2.3 liters in the evening.
- The total milk used is [tex]\( 3.8 + 2.3 = 6.1 \)[/tex] liters.
- So, the milk left is [tex]\( 10 - 6.1 = 3.9 \)[/tex] liters.
- To convert the remaining milk into hectoliters, we calculate [tex]\( 3.9 \)[/tex] liters as [tex]\( 3.9 / 100 = 0.039 \)[/tex] hectoliters.
3. Area of a Square:
- For the first square with an area of 36 square centimeters, the side is found using the formula [tex]\(\text{side} = \sqrt{\text{area}}\)[/tex]. Therefore, the side is [tex]\(\sqrt{36} = 6\)[/tex] cm.
- For the second square with an area of 49 square meters, the side is [tex]\(\sqrt{49} = 7\)[/tex] m.
4. Age Calculation:
- Akash's age is 8 years and 8 months.
- His father is 33 years and 9 months older than him.
- Adding these, his father’s age in years and months becomes [tex]\( 8 + 33 = 41 \)[/tex] years and [tex]\( 8 + 9 = 17 \)[/tex] months.
- Since 17 months is more than 12 months, it equals 1 year and 5 months.
- Thus, his father's age is [tex]\( 42 \)[/tex] years and 5 months.
5. Time Duration:
- Activity a:
- Starts at 3:20 a.m. and ends at 10:15 a.m.
- Calculate the total duration in minutes: from 3:20 to 10:15 is 6 hours and 55 minutes.
- That's a total of [tex]\( 6 \)[/tex] hours and [tex]\( 55 \)[/tex] minutes.
- Activity b:
- Starts at 4:26 p.m. and ends at 11:34 p.m.
- The total duration is from 4:26 p.m. to 11:34 p.m., which is 7 hours and 8 minutes.
- That's a total of [tex]\( 7 \)[/tex] hours and [tex]\( 8 \)[/tex] minutes.
I hope this detailed explanation helps you understand how to arrive at each answer! If you have any questions, feel free to ask.
1. Soap Production:
- A factory manufactures 568 soaps in one day.
- There are 7 days in a week, so the factory makes [tex]\( 568 \times 7 = 3,976 \)[/tex] soaps per week.
- Over 12 weeks, the factory will manufacture [tex]\( 3,976 \times 12 = 47,712 \)[/tex] soaps.
2. Milk Usage:
- Mrs. Menon starts with 10 liters of milk.
- She uses 3.8 liters in the morning and 2.3 liters in the evening.
- The total milk used is [tex]\( 3.8 + 2.3 = 6.1 \)[/tex] liters.
- So, the milk left is [tex]\( 10 - 6.1 = 3.9 \)[/tex] liters.
- To convert the remaining milk into hectoliters, we calculate [tex]\( 3.9 \)[/tex] liters as [tex]\( 3.9 / 100 = 0.039 \)[/tex] hectoliters.
3. Area of a Square:
- For the first square with an area of 36 square centimeters, the side is found using the formula [tex]\(\text{side} = \sqrt{\text{area}}\)[/tex]. Therefore, the side is [tex]\(\sqrt{36} = 6\)[/tex] cm.
- For the second square with an area of 49 square meters, the side is [tex]\(\sqrt{49} = 7\)[/tex] m.
4. Age Calculation:
- Akash's age is 8 years and 8 months.
- His father is 33 years and 9 months older than him.
- Adding these, his father’s age in years and months becomes [tex]\( 8 + 33 = 41 \)[/tex] years and [tex]\( 8 + 9 = 17 \)[/tex] months.
- Since 17 months is more than 12 months, it equals 1 year and 5 months.
- Thus, his father's age is [tex]\( 42 \)[/tex] years and 5 months.
5. Time Duration:
- Activity a:
- Starts at 3:20 a.m. and ends at 10:15 a.m.
- Calculate the total duration in minutes: from 3:20 to 10:15 is 6 hours and 55 minutes.
- That's a total of [tex]\( 6 \)[/tex] hours and [tex]\( 55 \)[/tex] minutes.
- Activity b:
- Starts at 4:26 p.m. and ends at 11:34 p.m.
- The total duration is from 4:26 p.m. to 11:34 p.m., which is 7 hours and 8 minutes.
- That's a total of [tex]\( 7 \)[/tex] hours and [tex]\( 8 \)[/tex] minutes.
I hope this detailed explanation helps you understand how to arrive at each answer! If you have any questions, feel free to ask.
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