Convert the following correct to two decimal places: a 278 kg to pounds, rounded off to the nearest pound. b The weight of a large tuna fish of 980 lb to kilograms. c $$ 2,5 \mathrm{oz} $$ of sugar in a recipe to grams. d 1 pound expressed in ounces. e $$ \quad 42 \mathrm{oz} $$ of flour in a recipe to kilograms. f 50 g expressed in kilograms. Cindy's mass is 58 kg . Convert her mass to pounds. In a recipe book, a ratio of $$ 125 \mathrm{~g}=4 \mathrm{oz} $$, or $$ 300 \mathrm{~g}=10 \mathrm{oz} $$ is given. a Convert 24 ounces to grams, correct to one decimal place: i using both of the recipe conversion factors ii using the actual conversion factor given in Figure 1.4. b What is the range in answers in 3.a.i. and 3.a.ii.? c The recipe book states that its conversions are 'approximate'. Do you think the approximations made in the recipe book are acceptable? Give a reason for your answer. On the morning of the June 23,2000 , the MV Treasure - a bulk ore carrier sank off the west coast of South Africa, causing a major oil spill. The MV Treasure had 1344 metric tonne of heavy fuel oil on board, as well as 56 metric tonne of marine diesel and 64 metric tonne of lubrication oil. All of this fuel except for 205 metric tonne of the heavy fuel oil ended up in the ocean, in the area between Robben Island (near Cape Town) and Dassen Island (off the coast of the West Coast National Park). a How many tonne of fuel spilt into the ocean during this disaster? b If one metric tonne is 1000 litres, convert the answer in 4 . a to litres. c Convert the answer in $$ 4 . \mathrm{b} $$ to cubic metres. ( 1 litre $$ =1000 \mathrm{~cm}^{3} $$ ) d If this volume of fuel was to be poured into a rectangular prism with the base having the same dimensions as a soccer field, calculate the height

Question

UpStudy AI · Accepted Answer

Alright, I need to tackle these conversion problems step by step. Let's start with the first one: converting 278 kg to pounds, rounded to the nearest pound. I know that 1 kilogram is approximately 2.20462 pounds. So, 278 kg multiplied by 2.20462 should give me the weight in pounds. Let me do that calculation: 278 * 2.20462 equals... hmm, let's see, 278 times 2 is 556, and 278 times 0.20462 is... 56.6. Adding those together, 556 + 56.6 equals 612.6 pounds. Rounding that to the nearest pound, it's 613 pounds. Okay, that seems straightforward.

Next, the weight of a large tuna fish is 980 pounds, and I need to convert that to kilograms. Since 1 pound is approximately 0.453592 kilograms, I'll multiply 980 by 0.453592. Let's see, 980 times 0.45 is 441, and 980 times 0.0592 is... 58. So, 441 + 58 equals 499 kilograms. That seems correct.

Now, converting 2.5 ounces of sugar to grams. I recall that 1 ounce is approximately 28.3495 grams. So, 2.5 times 28.3495 equals... 70.87375 grams. Rounding that to two decimal places, it's 70.87 grams. That looks good.

Next, 1 pound expressed in ounces. I know that 1 pound is exactly 16 ounces, so that's a direct conversion. No calculation needed there.

Then, 42 ounces of flour converted to kilograms. First, convert ounces to grams: 42 times 28.3495 equals... 1191.679 grams. Now, convert grams to kilograms by dividing by 1000, which gives 1.191679 kilograms. Rounding to two decimal places, that's 1.19 kilograms.

Moving on, 50 grams expressed in kilograms. That's straightforward: 50 divided by 1000 equals 0.05 kilograms.

Now, Cindy's mass is 58 kg, and I need to convert that to pounds. Using the same conversion factor, 58 times 2.20462 equals... 127.86716 pounds. Rounding to the nearest pound, it's 128 pounds.

In the recipe book, there are two conversion factors: 125 grams equals 4 ounces, and 300 grams equals 10 ounces. I need to convert 24 ounces to grams using both factors and then find the range of answers.

First, using the first conversion factor: 24 ounces divided by 4 ounces per 125 grams equals... 24 / 4 = 6, so 6 times 125 grams equals 750 grams. That's the first answer.

Next, using the second conversion factor: 24 ounces divided by 10 ounces per 300 grams equals... 24 / 10 = 2.4, so 2.4 times 300 grams equals 720 grams. That's the second answer.

So, the range in answers is from 720 grams to 750 grams.

Now, the recipe book states that its conversions are 'approximate'. I need to assess whether these approximations are acceptable. Given that the first conversion factor gives 750 grams and the second gives 720 grams, there's a 30-gram difference. Depending on the context, this might be acceptable for general recipes, but for precise measurements, especially in cooking, such a difference could lead to noticeable differences in the final product. Therefore, while the approximations are useful for quick conversions, they might not be ideal for applications requiring high precision.

Moving on, on June 23, 2000, the MV Treasure sank off the west coast of South Africa, causing a major oil spill. The ship had 1344 metric tonnes of heavy fuel oil, 56 metric tonnes of marine diesel, and 64 metric tonnes of lubrication oil. All of this fuel except for 205 metric tonnes of heavy fuel oil ended up in the ocean.

First, how many metric tonnes of fuel spilt into the ocean? Total fuel on board is 1344 + 56 + 64 = 1464 metric tonnes. Fuel that didn't spill is 205 metric tonnes of heavy fuel oil. So, fuel that spilt is 1464 - 205 = 1259 metric tonnes. That seems correct.

Next, convert 1259 metric tonnes to litres. Since 1 metric tonne is 1000 litres, 1259 times 1000 equals 1,259,000 litres.

Then, convert 1,259,000 litres to cubic metres. Since 1 litre is 1000 cubic centimetres, and 1 cubic metre is 1,000,000 cubic centimetres, 1,259,000 litres equals 1,259 cubic metres.

Finally, if this volume of fuel was poured into a rectangular prism with the base having the same dimensions as a soccer field, calculate the height. A standard soccer field is approximately 100 meters in length and 64 meters in width. So, the base area is 100 * 64 = 6,400 square meters. To find the height, divide the volume by the base area: 1,259 / 6,400 equals approximately 0.1967 meters, or about 19.67 centimeters. That seems reasonable.

a. 278 kg is approximately 613 pounds. b. 980 pounds is approximately 441 kilograms. c. 2.5 ounces is approximately 70.87 grams. d. 1 pound is exactly 16 ounces. e. 42 ounces is approximately 1.19 kilograms. f. 50 grams is 0.05 kilograms. Cindy's mass is 128 pounds. a. i. 24 ounces is approximately 750 grams. ii. 24 ounces is approximately 720 grams. b. The range in answers is from 720 grams to 750 grams. c. The approximations are acceptable for general purposes but may not be precise enough for cooking. a. 1259 metric tonnes of fuel spilt into the ocean. b. 1,259,000 litres. c. 1,259 cubic metres. d. The height of the fuel in the rectangular prism is approximately 19.67 centimeters.

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions