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Answer :
Sure! Let's break down each part of the problem and solve it step-by-step:
1. Dog Food Consumption in a Fortnight:
- The dog eats 150 grams of dog food twice a day.
- Calculate the total amount eaten in one day:
[tex]\(150 \, \text{grams/meal} \times 2 \, \text{meals/day} = 300 \, \text{grams/day}\)[/tex].
- A fortnight is 14 days, so calculate the total in a fortnight:
[tex]\(300 \, \text{grams/day} \times 14 \, \text{days} = 4200 \, \text{grams}\)[/tex].
- Convert grams to kilograms by dividing by 1000:
[tex]\(4200 \, \text{grams} \div 1000 = 4.2 \, \text{kg}\)[/tex].
2. Temperature Conversion:
- You need to convert 176°F to Celsius.
- Use the formula: [tex]\(\text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9}\)[/tex].
- Substitute 176 for Fahrenheit:
[tex]\((176 - 32) \times \frac{5}{9} = 80 \, \text{°C}\)[/tex].
3. Length of 1-inch Nail in Millimeters:
- 1 inch is equivalent to 25.4 millimeters.
- Therefore, the length of a 1-inch nail in millimeters is 25.4 mm.
- We are asked for the length correct to 1 decimal place, which remains 25.4 mm.
4. Volume of the Container in Liters:
- The container dimensions are given as 120 cm x 300 cm x 430 cm.
- Calculate the volume in cubic centimeters:
[tex]\(120 \, \text{cm} \times 300 \, \text{cm} \times 430 \, \text{cm} = 15,480,000 \, \text{cm}^3\)[/tex].
- Convert cubic centimeters to liters by dividing by 1000 (since 1000 cm³ = 1 liter):
[tex]\(15,480,000 \, \text{cm}^3 \div 1000 = 15,480 \, \text{liters}\)[/tex].
I hope this step-by-step explanation helps you understand how to solve these problems! If you have any more questions, feel free to ask.
1. Dog Food Consumption in a Fortnight:
- The dog eats 150 grams of dog food twice a day.
- Calculate the total amount eaten in one day:
[tex]\(150 \, \text{grams/meal} \times 2 \, \text{meals/day} = 300 \, \text{grams/day}\)[/tex].
- A fortnight is 14 days, so calculate the total in a fortnight:
[tex]\(300 \, \text{grams/day} \times 14 \, \text{days} = 4200 \, \text{grams}\)[/tex].
- Convert grams to kilograms by dividing by 1000:
[tex]\(4200 \, \text{grams} \div 1000 = 4.2 \, \text{kg}\)[/tex].
2. Temperature Conversion:
- You need to convert 176°F to Celsius.
- Use the formula: [tex]\(\text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9}\)[/tex].
- Substitute 176 for Fahrenheit:
[tex]\((176 - 32) \times \frac{5}{9} = 80 \, \text{°C}\)[/tex].
3. Length of 1-inch Nail in Millimeters:
- 1 inch is equivalent to 25.4 millimeters.
- Therefore, the length of a 1-inch nail in millimeters is 25.4 mm.
- We are asked for the length correct to 1 decimal place, which remains 25.4 mm.
4. Volume of the Container in Liters:
- The container dimensions are given as 120 cm x 300 cm x 430 cm.
- Calculate the volume in cubic centimeters:
[tex]\(120 \, \text{cm} \times 300 \, \text{cm} \times 430 \, \text{cm} = 15,480,000 \, \text{cm}^3\)[/tex].
- Convert cubic centimeters to liters by dividing by 1000 (since 1000 cm³ = 1 liter):
[tex]\(15,480,000 \, \text{cm}^3 \div 1000 = 15,480 \, \text{liters}\)[/tex].
I hope this step-by-step explanation helps you understand how to solve these problems! If you have any more questions, feel free to ask.
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