Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Sure, let's walk through the problem step by step.
1. Determine the cost of tomatoes in dollars per kilogram.
We know that the tomatoes cost 14.89 yuan per kilogram, and the exchange rate is 1 yuan = 0.14 dollars.
So, the first conversion is from yuan to dollars:
[tex]\[ \text{Price in dollars per kilogram} = \text{Price in yuan per kilogram} \times \text{Exchange rate} \][/tex]
2. Convert yuan per kilogram to dollars per kilogram:
[tex]\[ 14.89 \, \text{yuan/kg} \times 0.14 \, \text{dollars/yuan} = 2.0846 \, \text{dollars/kg} \][/tex]
3. Convert the cost from dollars per kilogram to dollars per pound.
The conversion factor between kilograms and pounds is:
[tex]\[ 1 \, \text{kg} = 2.20462 \, \text{lb} \][/tex]
Therefore, inverting the conversion to find how many kilograms in a pound gives us:
[tex]\[ 1 \, \text{lb} = \frac{1 \, \text{kg}}{2.20462} \][/tex]
4. Convert dollars per kilogram to dollars per pound:
[tex]\[ \text{Price in dollars per pound} = \frac{\text{Price in dollars per kilogram}}{2.20462} \][/tex]
[tex]\[ \text{Price in dollars per pound} = \frac{2.0846 \, \text{dollars/kg}}{2.20462 \, \text{kg/lb}} \][/tex]
[tex]\[ \text{Price in dollars per pound} = 0.9466 \, \text{dollars/lb} \][/tex]
5. Round the result to the nearest hundredth:
[tex]\[ 0.9466 \, \text{rounds to} \, 0.95 \, \text{dollars/lb} \][/tex]
So, the cost of the tomatoes in dollars per pound is 0.95.
Now, filling in the blanks in your tabular representation, we get:
[tex]\[ \begin{tabular}{|ccc|} \hline yuan & dollars & is \\ m & $\frac{0.14}{2.20462}$ & $0.95$ \\ $x$ & 5 \end{tabular} \][/tex]
And that's the fully detailed solution!
1. Determine the cost of tomatoes in dollars per kilogram.
We know that the tomatoes cost 14.89 yuan per kilogram, and the exchange rate is 1 yuan = 0.14 dollars.
So, the first conversion is from yuan to dollars:
[tex]\[ \text{Price in dollars per kilogram} = \text{Price in yuan per kilogram} \times \text{Exchange rate} \][/tex]
2. Convert yuan per kilogram to dollars per kilogram:
[tex]\[ 14.89 \, \text{yuan/kg} \times 0.14 \, \text{dollars/yuan} = 2.0846 \, \text{dollars/kg} \][/tex]
3. Convert the cost from dollars per kilogram to dollars per pound.
The conversion factor between kilograms and pounds is:
[tex]\[ 1 \, \text{kg} = 2.20462 \, \text{lb} \][/tex]
Therefore, inverting the conversion to find how many kilograms in a pound gives us:
[tex]\[ 1 \, \text{lb} = \frac{1 \, \text{kg}}{2.20462} \][/tex]
4. Convert dollars per kilogram to dollars per pound:
[tex]\[ \text{Price in dollars per pound} = \frac{\text{Price in dollars per kilogram}}{2.20462} \][/tex]
[tex]\[ \text{Price in dollars per pound} = \frac{2.0846 \, \text{dollars/kg}}{2.20462 \, \text{kg/lb}} \][/tex]
[tex]\[ \text{Price in dollars per pound} = 0.9466 \, \text{dollars/lb} \][/tex]
5. Round the result to the nearest hundredth:
[tex]\[ 0.9466 \, \text{rounds to} \, 0.95 \, \text{dollars/lb} \][/tex]
So, the cost of the tomatoes in dollars per pound is 0.95.
Now, filling in the blanks in your tabular representation, we get:
[tex]\[ \begin{tabular}{|ccc|} \hline yuan & dollars & is \\ m & $\frac{0.14}{2.20462}$ & $0.95$ \\ $x$ & 5 \end{tabular} \][/tex]
And that's the fully detailed solution!
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.