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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

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Convert between the u.s. and the metric systems of measurement

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
1 in. = 2.54 cm 1 ft. = 0.305 m 1 yd. = 0.914 m 1 mi. = 1.61 km 1 m = 3.28 ft. 1 lb. = 0.45 kg 1 oz. = 28 g 1 kg = 2.2 lb. 1 qt. = 0.95 L 1 fl. oz. = 30 mL 1 L = 1.06 qt.

[link] shows how inches and centimeters are related on a ruler.

A ruler with inches and centimeters.
This ruler shows inches and centimeters.

[link] shows the ounce and milliliter markings on a measuring cup.

A measuring cup showing milliliters and ounces.
This measuring cup shows ounces and milliliters.

[link] shows how pounds and kilograms marked on a bathroom scale.

We are given an image of a bathroom scale showing pounds.
This scale shows pounds and kilograms.

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.

Solution

500 mL Multiply by a unit conversion factor relating mL and ounces. 500 milliliters · 1 ounce 30 milliliters Simplify. 50 ounce 30 Divide. 16.7 ounces. The water bottle has 16.7 ounces.

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How many quarts of soda are in a 2-L bottle?

2.12 quarts

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How many liters are in 4 quarts of milk?

3.8 liters

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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?

Solution

100 kilometers Multiply by a unit conversion factor relating km and mi. 100 kilometers · 1 mile 1.61 kilometer Simplify. 100 miles 1.61 Divide. 62 miles Soleil will travel 62 miles.

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The height of Mount Kilimanjaro is 5,895 meters. Convert the height to feet.

19,335.6 feet

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The flight distance from New York City to London is 5,586 kilometers. Convert the distance to miles.

8,993.46 km

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Convert between fahrenheit and celsius temperatures

Have you ever been in a foreign country and heard the weather forecast? If the forecast is for 22 ° 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 ° F . The metric system uses degrees Celsius, written ° C . [link] shows the relationship between the two systems.

Two thermometers are shown, one in Celsius (°C) and another in Fahrenheit (°F). They are marked “Water boils” at 100°C and 212°F. They are marked “Normal body temperature” at 37°C and 98.6°F. They are marked “Water freezes” at 0°C and 32°F.
The diagram shows normal body temperature, along with the freezing and boiling temperatures of water in degrees Fahrenheit and degrees Celsius.

Temperature conversion

To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula

C = 5 9 ( F 32 ) .

To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula

F = 9 5 C + 32 .

Convert 50 ° Fahrenheit into degrees Celsius.

Solution

We will substitute 50 ° F into the formula to find C.

.
. .
Simplify in parentheses. .
Multiply. .
So we found that 50°F is equivalent to 10°C.

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Convert the Fahrenheit temperature to degrees Celsius: 59 ° Fahrenheit.

15 ° C

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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