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To make one pan of baklava, Dorothea needs 400 grams of filo pastry. If Dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?
2.4 kilograms
Many measurements in the United States are made in metric units. Our soda may come in 2-liter bottles, our calcium may come in 500-mg capsules, and we may run a 5K race. To work easily in both systems, we need to be able to convert between the two systems.
[link] shows some of the most common conversions.
Conversion Factors Between U.S. and Metric Systems | ||
---|---|---|
Length | Mass | Capacity |
$\begin{array}{c}\begin{array}{ccc}\text{1 in.}\hfill & =\hfill & \text{2.54 cm}\hfill \\ \text{1 ft.}\hfill & =\hfill & \text{0.305 m}\hfill \\ \text{1 yd.}\hfill & =\hfill & \text{0.914 m}\hfill \\ \text{1 mi.}\hfill & =\hfill & \text{1.61 km}\hfill \\ \text{1 m}\hfill & =\hfill & \text{3.28 ft.}\hfill \end{array}\hfill \end{array}$ | $\begin{array}{c}\begin{array}{ccc}\text{1 lb.}\hfill & =\hfill & \text{0.45 kg}\hfill \\ \text{1 oz.}\hfill & =\hfill & \text{28 g}\hfill \\ \text{1 kg}\hfill & =\hfill & \text{2.2 lb.}\hfill \end{array}\hfill \end{array}$ | $\begin{array}{c}\begin{array}{ccc}\text{1 qt.}\hfill & =\hfill & \text{0.95 L}\hfill \\ \text{1 fl. oz.}\hfill & =\hfill & \text{30 mL}\hfill \\ \text{1 L}\hfill & =\hfill & \text{1.06 qt.}\hfill \end{array}\hfill \end{array}$ |
[link] shows how inches and centimeters are related on a ruler.
[link] shows the ounce and milliliter markings on a measuring cup.
[link] shows how pounds and kilograms marked on a bathroom scale.
We make conversions between the systems just as we do within the systems—by multiplying by unit conversion factors.
Lee’s water bottle holds 500 mL of water. How many ounces are in the bottle? Round to the nearest tenth of an ounce.
$\begin{array}{cccc}& & & \hfill \text{500 mL}\hfill \\ \begin{array}{c}\text{Multiply by a unit conversion factor relating}\hfill \\ \text{mL and ounces.}\hfill \end{array}\hfill & & & \hfill 500\phantom{\rule{0.2em}{0ex}}\text{milliliters}\xb7\frac{1\phantom{\rule{0.2em}{0ex}}\text{ounce}}{30\phantom{\rule{0.2em}{0ex}}\text{milliliters}}\hfill \\ \text{Simplify.}\hfill & & & \hfill \frac{\text{50 ounce}}{30}\hfill \\ \text{Divide.}\hfill & & & \hfill \text{16.7 ounces.}\hfill \\ & & & \text{The water bottle has 16.7 ounces.}\hfill \end{array}$
Soleil was on a road trip and saw a sign that said the next rest stop was in 100 kilometers. How many miles until the next rest stop?
$\begin{array}{cccc}& & & \hfill \text{100 kilometers}\hfill \\ \begin{array}{c}\text{Multiply by a unit conversion factor relating}\hfill \\ \text{km and mi.}\hfill \end{array}\hfill & & & \hfill \text{100 kilometers}\xb7\frac{1\phantom{\rule{0.2em}{0ex}}\text{mile}}{1.61\phantom{\rule{0.2em}{0ex}}\text{kilometer}}\hfill \\ \text{Simplify.}\hfill & & & \hfill \frac{100\phantom{\rule{0.2em}{0ex}}\text{miles}}{1.61}\hfill \\ \text{Divide.}\hfill & & & \hfill \text{62 miles}\hfill \\ & & & \hfill \text{Soleil will travel 62 miles.}\hfill \end{array}$
The height of Mount Kilimanjaro is 5,895 meters. Convert the height to feet.
19,335.6 feet
The flight distance from New York City to London is 5,586 kilometers. Convert the distance to miles.
8,993.46 km
Have you ever been in a foreign country and heard the weather forecast? If the forecast is for $22\text{\xb0}\text{C},$ what does that mean?
The U.S. and metric systems use different scales to measure temperature. The U.S. system uses degrees Fahrenheit, written $\text{\xb0}\text{F}\text{.}$ The metric system uses degrees Celsius, written $\text{\xb0}\text{C}\text{.}$ [link] shows the relationship between the two systems.
To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula
To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula
Convert $50\text{\xb0}$ Fahrenheit into degrees Celsius.
We will substitute
$50\text{\xb0}\text{F}$ into the formula to find C.
Simplify in parentheses. | |
Multiply. | |
So we found that 50°F is equivalent to 10°C. |
Convert the Fahrenheit temperature to degrees Celsius: $59\text{\xb0}$ Fahrenheit.
$15\text{\xb0}\text{C}$
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