7.5 Systems of measurement  (Page 6/10)

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The U.S. and metric systems use different scales to measure temperature. The U.S. system uses degrees Fahrenheit, written $\text{°F}.$ The metric system uses degrees Celsius, written $\text{°C}.$ [link] shows the relationship between the two systems.

If we know the temperature in one system, we can use a formula to convert it to the other system.

Temperature conversion

To convert from Fahrenheit temperature, $\text{F},$ to Celsius temperature, $\text{C},$ use the formula

$C=\frac{5}{9}\left(F-32\right)$

To convert from Celsius temperature, $\text{C},$ to Fahrenheit temperature, $\text{F},$ use the formula

$F=\frac{9}{5}C+32$

Convert $50\text{°F}$ into degrees Celsius.

Solution

We will substitute $50\text{°F}$ into the formula to find $\text{C}.$

 Use the formula for converting °F to °C $C=\frac{5}{9}\left(F-32\right)$ Simplify in parentheses. $C=\frac{5}{9}\left(18\right)$ Multiply. $C=5$ A temperature of 50°F is equivalent to 10°C.

Convert the Fahrenheit temperatures to degrees Celsius: $59\text{°F}.$

15°C

Convert the Fahrenheit temperatures to degrees Celsius: $41\text{°F}.$

5°C

The weather forecast for Paris predicts a high of $20\text{°C.}$ Convert the temperature into degrees Fahrenheit.

Solution

We will substitute $20\text{°C}$ into the formula to find $\text{F}.$

 Use the formula for converting °F to °C $F=\frac{9}{5}C+32$ Multiply. $F=36+32$ Add. $F=68$ So 20°C is equivalent to 68°F.

Convert the Celsius temperatures to degrees Fahrenheit:

The temperature in Helsinki, Finland was $15\text{°C}.$

59°F

Convert the Celsius temperatures to degrees Fahrenheit:

The temperature in Sydney, Australia was $10\text{°C}.$

50°F

Practice makes perfect

Make Unit Conversions in the U.S. System

In the following exercises, convert the units.

A park bench is $6$ feet long. Convert the length to inches.

A floor tile is $2$ feet wide. Convert the width to inches.

24 inches

A ribbon is $18$ inches long. Convert the length to feet.

Carson is $45$ inches tall. Convert his height to feet.

3.75 feet

Jon is $6$ feet $4$ inches tall. Convert his height to inches.

Faye is $4$ feet $10$ inches tall. Convert her height to inches.

58 inches

A football field is $160$ feet wide. Convert the width to yards.

On a baseball diamond, the distance from home plate to first base is $30$ yards. Convert the distance to feet.

90 feet

Ulises lives $1.5$ miles from school. Convert the distance to feet.

Denver, Colorado, is $5,183$ feet above sea level. Convert the height to miles.

0.98 miles

A killer whale weighs $4.6$ tons. Convert the weight to pounds.

Blue whales can weigh as much as $150$ tons. Convert the weight to pounds.

300,000 pounds

An empty bus weighs $35,000$ pounds. Convert the weight to tons.

At take-off, an airplane weighs $220,000$ pounds. Convert the weight to tons.

110 tons

The voyage of the Mayflower took $2$ months and $5$ days. Convert the time to days.

Lynn’s cruise lasted $6$ days and $18$ hours. Convert the time to hours.

162 hours

Rocco waited $1\frac{1}{2}$ hours for his appointment. Convert the time to seconds.

Misty’s surgery lasted $2\frac{1}{4}$ hours. Convert the time to seconds.

8100 seconds

How many teaspoons are in a pint?

How many tablespoons are in a gallon?

256 tablespoons

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