f. A nutritional label says that a serving of mac and cheese is 117 grams. How many ounces are in a serving? (Use \( 1 \mathrm{oz}=28.35 \mathrm{~g} \) ) g. What is the height in meters of a person who is \( 5^{\prime} 6.5^{\prime \prime} \) tall? (Use \( 1 \mathrm{ft}=0.3048 \mathrm{~m} \) ) 4.13 h. What is your approximate mass in lb-mass and in kg (Use 1 lb -mass \( =0.453592 \mathrm{~kg} \) )? i. What is your approximate height in ft -in and in m ? lb-mass \( \square \mathrm{mg} \)

Sure, let's address each of your questions step by step: --- **f. Converting Grams to Ounces** *A nutritional label says that a serving of mac and cheese is 117 grams. How many ounces are in a serving? (Use \( 1 \mathrm{oz} = 28.35 \mathrm{~g} \))* **Calculation:** \[ \text{Ounces} = \frac{\text{Grams}}{28.35} = \frac{117 \, \text{g}}{28.35 \, \text{g/oz}} \approx 4.13 \, \text{oz} \] **Answer:** A 117-gram serving is approximately **4.13 ounces**. --- **g. Converting Height from Feet and Inches to Meters** *What is the height in meters of a person who is \( 5^{\prime} 6.5^{\prime \prime} \) tall? (Use \( 1 \mathrm{ft}=0.3048 \mathrm{~m} \))* **Calculation:** 1. **Convert Feet to Meters:** \[ 5 \, \text{ft} \times 0.3048 \, \text{m/ft} = 1.524 \, \text{m} \] 2. **Convert Inches to Meters:** - First, convert inches to feet: \[ 6.5 \, \text{in} \times \frac{1 \, \text{ft}}{12 \, \text{in}} = 0.5417 \, \text{ft} \] - Then, convert to meters: \[ 0.5417 \, \text{ft} \times 0.3048 \, \text{m/ft} \approx 0.1651 \, \text{m} \] 3. **Total Height in Meters:** \[ 1.524 \, \text{m} + 0.1651 \, \text{m} \approx 1.6891 \, \text{m} \] **Answer:** A person who is 5 feet 6.5 inches tall is approximately **1.69 meters** tall. --- **h. Calculating Mass in Pounds and Kilograms** *What is your approximate mass in lb-mass and in kg? (Use \( 1 \mathrm{~lb} = 0.453592 \mathrm{~kg} \))* **Note:** To calculate your mass in pounds (lb-mass) and kilograms (kg), you'll need to provide your weight. Here's how you can perform the conversion once you have your weight: 1. **From Kilograms to Pounds:** \[ \text{Pounds} = \frac{\text{Kilograms}}{0.453592} \] 2. **From Pounds to Kilograms:** \[ \text{Kilograms} = \text{Pounds} \times 0.453592 \] **Example:** If you weigh **70 kg**: \[ \text{Pounds} = \frac{70}{0.453592} \approx 154.32 \, \text{lb} \] --- **i. Calculating Height in Feet-Inches and Meters** *What is your approximate height in ft-in and in m?* **Note:** To convert your height to feet and inches or meters, you'll need to provide your height measurements. Here's how you can perform the conversions: 1. **From Meters to Feet-Inches:** - **Feet:** \[ \text{Feet} = \left\lfloor \frac{\text{Meters}}{0.3048} \right\rfloor \] - **Inches:** \[ \text{Inches} = \left( \frac{\text{Meters}}{0.3048} - \text{Feet} \right) \times 12 \] 2. **From Feet-Inches to Meters:** \[ \text{Meters} = (\text{Feet} \times 0.3048) + (\text{Inches} \times 0.0254) \] **Example:** If you are **1.75 meters** tall: \[ \text{Feet} = \left\lfloor \frac{1.75}{0.3048} \right\rfloor = 5 \, \text{ft} \] \[ \text{Inches} = (5.7415 - 5) \times 12 \approx 8.898 \, \text{in} \] So, approximately **5 feet 9 inches**. --- **Additional Note:** It seems like there might be a typo or incomplete part in your question: - **lb-mass \( \square \mathrm{mg} \):** If you're looking to convert mass from pounds to milligrams (mg), here's how: \[ 1 \, \text{lb} = 453,592 \, \text{mg} \] **Example:** If you have **2 lb**: \[ 2 \, \text{lb} \times 453,592 \, \text{mg/lb} = 907,184 \, \text{mg} \] --- Feel free to provide more details for questions **h** and **i** if you need specific calculations!