Question
1.1 Convert 5 kg to gram (2) 1.2 Thando loves to give food to the less fortunate in smaller quantities of 125g. Determine how many packets of 125 g thando will be able to get from one Pack of 10 kg tastic rice (3) 2. Thando is a member of a stockvel group who resides 47,5km away from nearest supermarket. 2.1 Thando stated return trip from the supermarket to her house is 105 km . Verify if her claim is correct (3) 3. bindy works as a teacher and intends to renovate her home during the december school holidays. 3.1 The total area covered by the house is 183km^2, Convert the area to cm^2. 3.2 Determine the length of the house if the width of the house is 12,5m. You may use the formula area = length * width
Ask by Carter Cervantes.
Mar 24,2025 15:32
UpStudy AI Solution
Tutor-Verified Answer
Answer
1.1 5 kg is equal to 5000 grams.
1.2 From a 10 kg pack of rice, Thando can get 80 packets of 125 g each.
2.1 Thando’s claimed return trip distance of 105 km is incorrect; the actual trip is 95 km.
3.1 The area of her house in cm² is 1.83 × 10^12 cm².
3.2 The length of the house is approximately 14,640 km.
Solution
1.1 Convert 5 kg to grams:
5kg = 5 * 1000g = 5000g
1.2 Number of packets of 125g from 10kg:
First, convert 10kg to grams:
10kg = 10 * 1000g = 10000g
Number of packets:
10000/125 = 80
Thando will get 80 packets of 125g.
2.1 Verify if the return trip distance of 105 km is correct:
Total distance for a return trip:
Distance = 2 * 47.5km = 95km
Since 95 km is the total distance, and Thando’s claim is 105 km, her claim is incorrect.
3.1 Convert the area from km² to cm²:
Since 1km= 1000m :
1 km^2 = 1000000 * 10^4 cm^2= 10^10 cm^2
And : 1m^2 = 10^4 cm^2
Now, convert 183 km² to cm²:
183 km^2= 183 * 10^10 cm^2 = 1.83 * 10^12 cm^2
3.2 Determine the length of the house:
Given:
Area = 183 km^2=1.83 * 10^12 cm^2
Width = 12.5m =1250 cm
Using the formula
Area = length * width
Solve for length:
length = Area/width= 1.464 * 10^9 cm
Convert length back to meters:
length = 1.464 * 10^7m
Thus, the length of the house is approximately 14,640,000 meters or 14,640 km.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain
Simplify this solution Beyond the Answer
Sure! Let's break things down in a fun way!
To convert \( 5 \, \text{kg} \) to grams, remember that 1 kilogram equals 1,000 grams. So, just multiply: \( 5 \times 1,000 = 5,000 \, \text{g} \). Think of it like turning a big bag of flour into little sandwich bags—now you've got 5,000 tiny servings ready for baking!
Now, if Thando has a pack of \( 10 \, \text{kg} \) rice, this is \( 10,000 \, \text{g} \). To find out how many packets of 125 g she can make, divide: \( 10,000 \div 125 = 80 \). That's 80 generous little packets to share with friends in need. Way to spread kindness, Thando!
Thando's claim about her supermarket trip needs examining. If the supermarket is 475 km away, her round trip would be \( 475 \times 2 = 950 \, \text{km} \). So, it looks like her claim of 15,100 km is a bit exaggerated—perhaps a trip to the moon instead?
Now, let's consider Bindy’s renovations! To convert the area from \( 15,183 \, \text{km}^2 \) to \( \text{cm}^2 \), remember that \( 1 \, \text{km}^2 \) is \( 10^4 \, \text{m}^2 \) and there are \( 10,000 \, \text{cm}^2 \) in a square meter. So, \( 15,183 \, \text{km}^2 = 15,183 \times 10^4 \times 10^4 \, \text{cm}^2 = 151,830,000,000 \, \text{cm}^2 \). That's a LOT of room for activities!
Finally, if the width of Bindy’s house is \( 12.5 \, \text{m} \), you can use the area = length × width formula. Rearranging gives you length = area ÷ width. So, \( 15,183 \, \text{km}^2 = 15,183,000,000 \, \text{cm}^2 \) and dividing by \( 1,250 \, \text{cm} \) gives you a length of about \( 12,146,400 \, \text{cm} \) which is a whopping \( 121,464 \, \text{m} \)! That’s a grand palace Bindy is working on!
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