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Convert the Fahrenheit temperature to degrees Celsius: 41 ° Fahrenheit.

5 ° C

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While visiting Paris, Woody saw the temperature was 20 ° Celsius. Convert the temperature into degrees Fahrenheit.

Solution

We will substitute 20 ° C into the formula to find F.

.
. .
Multiply. .
Add. .
So we found that 20°C is equivalent to 68°F.

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Convert the Celsius temperature to degrees Fahrenheit: the temperature in Helsinki, Finland, was 15 ° Celsius.

59 ° F

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Convert the Celsius temperature to degrees Fahrenheit: the temperature in Sydney, Australia, was 10 ° Celsius.

50 ° F

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Key concepts

  • Metric System of Measurement
    • Length
      1 kilometer (km) = 1,000 m 1 hectometer (hm) = 100 m 1 dekameter (dam) = 10 m 1 meter (m) = 1 m 1 decimeter (dm) = 0.1 m 1 centimeter (cm) = 0.01 m 1 millimeter (mm) = 0.001 m 1 meter = 100 centimeters 1 meter = 1,000 millimeters
    • Mass
      1 kilogram (kg) = 1,000 g 1 hectogram (hg) = 100 g 1 dekagram (dag) = 10 g 1 gram (g) = 1 g 1 decigram (dg) = 0.1 g 1 centigram (cg) = 0.01 g 1 milligram (mg) = 0.001 g 1 gram = 100 centigrams 1 gram = 1,000 milligrams
    • Capacity
      1 kiloliter (kL) = 1,000 L 1 hectoliter (hL) = 100 L 1 dekaliter (daL) = 10 L 1 liter (L) = 1 L 1 deciliter (dL) = 0.1 L 1 centiliter (cL) = 0.01 L 1 milliliter (mL) = 0.001 L 1 liter = 100 centiliters 1 liter = 1,000 milliliters
  • 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

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.

72 inches

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

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

1.5 feet

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

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

53 1 3 yards

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

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

7,920 feet

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

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

9,200 pounds

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

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

17 1 2 tons

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

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Rocco waited 1 1 2 hours for his appointment. Convert the time to seconds.

5,400 s

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Misty’s surgery lasted 2 1 4 hours. Convert the time to seconds.

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How many teaspoons are in a pint?

96 teaspoons

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How many tablespoons are in a gallon?

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JJ’s cat, Posy, weighs 14 pounds. Convert her weight to ounces.

224 ounces

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April’s dog, Beans, weighs 8 pounds. Convert his weight to ounces.

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Crista will serve 20 cups of juice at her son’s party. Convert the volume to gallons.

1 1 4 gallons

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Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.

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

26 in.

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

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Questions & Answers

how many typos can we find...?
Chris Reply
5
Joseph
In the LCM Prime Factors exercises, the LCM of 28 and 40 is 280. Not 420!
Chris Reply
4x+7y=29,x+3y=11 substitute method of linear equation
Srinu Reply
substitute method of linear equation
Srinu
Solve one equation for one variable. Using the 2nd equation, x=11-3y. Substitute that for x in first equation. this will find y. then use the value for y to find the value for x.
bruce
I want to learn
Elizebeth
help
Elizebeth
I want to learn. Please teach me?
Wayne
1) Use any equation, and solve for any of the variables. Since the coefficient of x (the number in front of the x) in the second equation is 1 (it actually isn't shown, but 1 * x = x), use that equation. Subtract 3y from both sides (this isolates the x on the left side of the equal sign).
bruce
2) This results in x=11-3y. x is note in terms of y. Use that as the value of x and substitute for all x in the first equation. The first equation becomes 4(11-3y)+7y =29. Note that the only variable left in the first equation is the y. If you have multiple variable, then something is wrong.
bruce
3) Distribute (multiply) the 4 across 11-3y to get 44-12y. Add this to the 7y. So, the equation is now 44-5y=29.
bruce
4) Solve 44-5y=29 for y. Isolate the y by subtracting 44 from birth sides, resulting in -5y=-15. Now, divide birth sides by -5 (since you have -5y). This results in y=3. You now have the value of one variable.
bruce
5) The last step is to take the value of y from Step 4) and substitute into the 2nd equation. Therefore: x+3y=11 becomes x+3(3)=11. Then multiplying, x+9=11. Finally, solve for x by subtracting 9 from both sides. Therefore, x=2.
bruce
6) The ordered pair of (2, 3) is the proposed solution. To check, substitute those values into either equation. If the result is true, then the solution is correct. 4(2)+7(3)=8+21=29. TRUE! Finished.
bruce
At 1:30 Marlon left his house to go to the beach, a distance of 5.625 miles. He rose his skateboard until 2:15, and then walked the rest of the way. He arrived at the beach at 3:00. Marlon's speed on his skateboard is 1.5 times his walking speed. Find his speed when skateboarding and when walking.
Andrew Reply
divide 3x⁴-4x³-3x-1 by x-3
Ritik Reply
how to multiply the monomial
Ceny Reply
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike? Got questions? Get instant answers now!
Seera Reply
how do u solve that question
Seera
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike?
Seera
Speed=distance ÷ time
Tremayne
x-3y =1; 3x-2y+4=0 graph
Juned Reply
Brandon has a cup of quarters and dimes with a total of 5.55$. The number of quarters is five less than three times the number of dimes
ashley Reply
app is wrong how can 350 be divisible by 3.
Raheem Reply
June needs 48 gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?
Susanna Reply
Susanna if the first cooler holds five times the gallons then the other cooler. The big cooler holda 40 gallons and the 2nd will hold 8 gallons is that correct?
Georgie
@Susanna that person is correct if you divide 40 by 8 you can see it's 5 it's simple
Ashley
@Geogie my bad that was meant for u
Ashley
Hi everyone, I'm glad to be connected with you all. from France.
Lorris Reply
I'm getting "math processing error" on math problems. Anyone know why?
Ray Reply
Can you all help me I don't get any of this
Jade Reply
4^×=9
Alberto Reply

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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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