Convert the following units: 21 ounces to g, 0.03 pounds to kg, and 8 ounces to kg.

Question

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Here are the conversions and calculations:

Conversion Factors Used:

$1 \text{ kg} = 2.20462 \text{ pounds}$
$1 \text{ pound} = 0.453592 \text{ kg}$
$1 \text{ ounce (oz)} = 28.3495 \text{ g}$
$1 \text{ g} = 0.035274 \text{ ounces}$
$1 \text{ pound} = 16 \text{ ounces}$
$1 \text{ ton (US short ton)} = 2000 \text{ pounds}$
$1 \text{ kg} = 1000 \text{ g}$

1. Convert the following:

1.3: 21 ounces to g

Use the conversion factor $1 \text{ ounce} = 28.3495 \text{ g}$ .
$$ 21 \text{ ounces} \times \frac{28.3495 \text{ g}}{1 \text{ ounce}} $$

Calculate the value.

$$
21 \times 28.3495 = 595.3395 \text{ g}
$$
The conversion is: $\boxed{\text{595.3395 g}}$

1.4: 0.03 pounds to kg

Use the conversion factor $1 \text{ pound} = 0.453592 \text{ kg}$ .
$$ 0.03 \text{ pounds} \times \frac{0.453592 \text{ kg}}{1 \text{ pound}} $$

Calculate the value.

$$
0.03 \times 0.453592 = 0.01360776 \text{ kg}
$$
The conversion is: $\boxed{\text{0.0136 kg}}$

1.5: 8 ounces to kg

Convert ounces to grams using $1 \text{ ounce} = 28.3495 \text{ g}$ .
$$ 8 \text{ ounces} \times \frac{28.3495 \text{ g}}{1 \text{ ounce}} = 226.796 \text{ g} $$

Convert grams to kg using $1 \text{ kg} = 1000 \text{ g}$ .

$$
226.796 \text{ g} \times \frac{1 \text{ kg}}{1000 \text{ g}} = 0.226796 \text{ kg}
$$
The conversion is: $\boxed{\text{0.2268 kg}}$

1.6: 2 pounds to g

Convert pounds to kg using $1 \text{ pound} = 0.453592 \text{ kg}$ .
$$ 2 \text{ pounds} \times \frac{0.453592 \text{ kg}}{1 \text{ pound}} = 0.907184 \text{ kg} $$

Convert kg to g using $1 \text{ kg} = 1000 \text{ g}$ .

$$
0.907184 \text{ kg} \times \frac{1000 \text{ g}}{1 \text{ kg}} = 907.184 \text{ g}
$$
The conversion is: $\boxed{\text{907.184 g}}$

1.7: 99.32 kg to ounces

Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .
$$ 99.32 \text{ kg} \times \frac{2.20462 \text{ pounds}}{1 \text{ kg}} = 218.9609 \text{ pounds} $$

Convert pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .

$$
218.9609 \text{ pounds} \times \frac{16 \text{ ounces}}{1 \text{ pound}} = 3503.3744 \text{ ounces}
$$
The conversion is: $\boxed{\text{3503.3744 ounces}}$

1.8: 818.7 g to pounds

Convert g to kg using $1 \text{ kg} = 1000 \text{ g}$ .
$$ 818.7 \text{ g} \times \frac{1 \text{ kg}}{1000 \text{ g}} = 0.8187 \text{ kg} $$
Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .
$$ 0.8187 \text{ kg} \times \frac{2.20462 \text{ pounds}}{1 \text{ kg}} = 1.80492 \text{ pounds} $$ The conversion is: $\boxed{\text{1.8049 pounds}}$
2. A crane can lift a maximum load of 3.5 tons. If a container weighs 6 820 pounds, will the crane be able to lift the container?
Convert the crane's maximum load from tons to pounds using $1 \text{ ton} = 2000 \text{ pounds}$ .
$\text{Crane capacity} = 3.5 \text{ tons} \times \frac{2000 \text{ pounds}}{1 \text{ ton}} = 7000 \text{ pounds}$
Compare the crane's capacity with the container's weight.
Crane capacity: $7000 \text{ pounds}$
Container weight: $6820 \text{ pounds}$
Since $7000 \text{ pounds} > 6820 \text{ pounds}$ , the crane can lift the container.

The crane will be able to lift the container: $\boxed{\text{Yes}}$

3. Calculate the cost of 0.25 pounds of gold, if gold costs R13 070.58 per ounce.
Convert 0.25 pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .
$\text{Gold in ounces} = 0.25 \text{ pounds} \times \frac{16 \text{ ounces}}{1 \text{ pound}} = 4 \text{ ounces}$
Calculate the total cost.
$\text{Total cost} = 4 \text{ ounces} \times \text{R}13070.58/\text{ounce} = \text{R}52282.32$
The cost of 0.25 pounds of gold is: $\boxed{\text{R}52282.32}$

Convert the following units: 21 ounces to g, 0.03 pounds to kg, and 8 ounces to kg.

Step-by-step solution

Use the conversion factor $1 \text{ ounce} = 28.3495 \text{ g}$ .

Calculate the value.

Use the conversion factor $1 \text{ pound} = 0.453592 \text{ kg}$ .

Calculate the value.

Convert ounces to grams using $1 \text{ ounce} = 28.3495 \text{ g}$ .

Convert grams to kg using $1 \text{ kg} = 1000 \text{ g}$ .

Convert pounds to kg using $1 \text{ pound} = 0.453592 \text{ kg}$ .

Convert kg to g using $1 \text{ kg} = 1000 \text{ g}$ .

Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .

Convert pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .

Convert g to kg using $1 \text{ kg} = 1000 \text{ g}$ .

Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .

Convert the crane's maximum load from tons to pounds using $1 \text{ ton} = 2000 \text{ pounds}$ .

Compare the crane's capacity with the container's weight.

Convert 0.25 pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .

Calculate the total cost.

Still stuck on this one?

More Mathematics Questions

Convert the following units: 21 ounces to g, 0.03 pounds to kg, and 8 ounces to kg.

Step-by-step solution

Use the conversion factor 1 ounce=28.3495 g1 \text{ ounce} = 28.3495 \text{ g}1 ounce=28.3495 g.

Calculate the value.

Use the conversion factor 1 pound=0.453592 kg1 \text{ pound} = 0.453592 \text{ kg}1 pound=0.453592 kg.

Calculate the value.

Convert ounces to grams using 1 ounce=28.3495 g1 \text{ ounce} = 28.3495 \text{ g}1 ounce=28.3495 g.

Convert grams to kg using 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}1 kg=1000 g.

Convert pounds to kg using 1 pound=0.453592 kg1 \text{ pound} = 0.453592 \text{ kg}1 pound=0.453592 kg.

Convert kg to g using 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}1 kg=1000 g.

Convert kg to pounds using 1 kg=2.20462 pounds1 \text{ kg} = 2.20462 \text{ pounds}1 kg=2.20462 pounds.

Convert pounds to ounces using 1 pound=16 ounces1 \text{ pound} = 16 \text{ ounces}1 pound=16 ounces.

Convert g to kg using 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}1 kg=1000 g.

Convert kg to pounds using 1 kg=2.20462 pounds1 \text{ kg} = 2.20462 \text{ pounds}1 kg=2.20462 pounds.

Convert the crane's maximum load from tons to pounds using 1 ton=2000 pounds1 \text{ ton} = 2000 \text{ pounds}1 ton=2000 pounds.

Compare the crane's capacity with the container's weight.

Convert 0.25 pounds to ounces using 1 pound=16 ounces1 \text{ pound} = 16 \text{ ounces}1 pound=16 ounces.

Calculate the total cost.

Still stuck on this one?

More Mathematics Questions

Use the conversion factor $1 \text{ ounce} = 28.3495 \text{ g}$ .

Use the conversion factor $1 \text{ pound} = 0.453592 \text{ kg}$ .

Convert ounces to grams using $1 \text{ ounce} = 28.3495 \text{ g}$ .

Convert grams to kg using $1 \text{ kg} = 1000 \text{ g}$ .

Convert pounds to kg using $1 \text{ pound} = 0.453592 \text{ kg}$ .

Convert kg to g using $1 \text{ kg} = 1000 \text{ g}$ .

Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .

Convert pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .

Convert g to kg using $1 \text{ kg} = 1000 \text{ g}$ .

Convert kg to pounds using $1 \text{ kg} = 2.20462 \text{ pounds}$ .

Convert the crane's maximum load from tons to pounds using $1 \text{ ton} = 2000 \text{ pounds}$ .

Convert 0.25 pounds to ounces using $1 \text{ pound} = 16 \text{ ounces}$ .