Answer :
Sure, let's break down the conversions step-by-step:
1. Ryan's Sprint Conversion:
- Ryan sprinted 181 feet.
- We know that 1 yard equals 3 feet.
- To find out how many yards Ryan sprinted, divide the number of feet by the number of feet in a yard:
[tex]\[
\text{yards} = \frac{181 \text{ feet}}{3 \text{ feet per yard}} = 60.33 \text{ yards}
\][/tex]
- Rounded to the nearest hundredth, Ryan sprinted 60.33 yards.
2. Lara's Truck Weight Conversion:
- Lara's truck weighs 8737 pounds.
- Since 1 ton is equal to 2000 pounds, we convert the truck's weight to tons by dividing the number of pounds by the number of pounds in a ton:
[tex]\[
\text{tons} = \frac{8737 \text{ pounds}}{2000 \text{ pounds per ton}} = 4.37 \text{ tons}
\][/tex]
- Rounding to the nearest hundredth, the truck weighs 4.37 tons.
3. Julia's Sugar Conversion:
- Julia needs 1.75 cups of sugar.
- Knowing that 1 cup equals 8 fluid ounces, we can convert the cups into ounces by multiplying the number of cups by the number of ounces in a cup:
[tex]\[
\text{ounces} = 1.75 \text{ cups} \times 8 \text{ ounces per cup} = 14.0 \text{ ounces}
\][/tex]
- As a result, Julia needs 14.0 ounces of sugar.
These conversions show how we can change measurements from one unit to another using simple division and multiplication, while also ensuring precision by rounding to the nearest hundredth where necessary.
1. Ryan's Sprint Conversion:
- Ryan sprinted 181 feet.
- We know that 1 yard equals 3 feet.
- To find out how many yards Ryan sprinted, divide the number of feet by the number of feet in a yard:
[tex]\[
\text{yards} = \frac{181 \text{ feet}}{3 \text{ feet per yard}} = 60.33 \text{ yards}
\][/tex]
- Rounded to the nearest hundredth, Ryan sprinted 60.33 yards.
2. Lara's Truck Weight Conversion:
- Lara's truck weighs 8737 pounds.
- Since 1 ton is equal to 2000 pounds, we convert the truck's weight to tons by dividing the number of pounds by the number of pounds in a ton:
[tex]\[
\text{tons} = \frac{8737 \text{ pounds}}{2000 \text{ pounds per ton}} = 4.37 \text{ tons}
\][/tex]
- Rounding to the nearest hundredth, the truck weighs 4.37 tons.
3. Julia's Sugar Conversion:
- Julia needs 1.75 cups of sugar.
- Knowing that 1 cup equals 8 fluid ounces, we can convert the cups into ounces by multiplying the number of cups by the number of ounces in a cup:
[tex]\[
\text{ounces} = 1.75 \text{ cups} \times 8 \text{ ounces per cup} = 14.0 \text{ ounces}
\][/tex]
- As a result, Julia needs 14.0 ounces of sugar.
These conversions show how we can change measurements from one unit to another using simple division and multiplication, while also ensuring precision by rounding to the nearest hundredth where necessary.
