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9 ( 6 x 11 ) + 15

54 x − 84

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Systems of Measurement

In the following exercises, convert between U.S. units. Round to the nearest tenth.

A floral arbor is 7 feet tall. Convert the height to inches.

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A picture frame is 42 inches wide. Convert the width to feet.

3.5 feet

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Kelly is 5 feet 4 inches tall. Convert her height to inches.

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A playground is 45 feet wide. Convert the width to yards.

15 yards

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The height of Mount Shasta is 14,179 feet. Convert the height to miles.

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Shamu weighs 4.5 tons. Convert the weight to pounds.

9000 pounds

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The play lasted 1 3 4 hours. Convert the time to minutes.

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How many tablespoons are in a quart?

64 tablespoons

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Naomi’s baby weighed 5 pounds 14 ounces at birth. Convert the weight to ounces.

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Trinh needs 30 cups of paint for her class art project. Convert the volume to gallons.

1.9 gallons

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In the following exercises, solve, and state your answer in mixed units.

John caught 4 lobsters. The weights of the lobsters were 1 pound 9 ounces, 1 pound 12 ounces, 4 pounds 2 ounces, and 2 pounds 15 ounces. What was the total weight of the lobsters?

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Every day last week, Pedro recorded the amount of time he spent reading. He read for 50 , 25 , 83 , 45 , 32 , 60 , and 135 minutes. How much time, in hours and minutes, did Pedro spend reading?

7 hours 10 minutes

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Fouad is 6 feet 2 inches tall. If he stands on a rung of a ladder 8 feet 10 inches high, how high off the ground is the top of Fouad’s head?

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Dalila wants to make pillow covers. Each cover takes 30 inches of fabric. How many yards and inches of fabric does she need for 4 pillow covers?

3 yards, 12 inches

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In the following exercises, convert between metric units.

Donna is 1.7 meters tall. Convert her height to centimeters.

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Mount Everest is 8,850 meters tall. Convert the height to kilometers.

8.85 kilometers

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One cup of yogurt contains 488 milligrams of calcium. Convert this to grams.

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One cup of yogurt contains 13 grams of protein. Convert this to milligrams.

13,000 milligrams

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Sergio weighed 2.9 kilograms at birth. Convert this to grams.

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A bottle of water contained 650 milliliters. Convert this to liters.

0.65 liters

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In the following exercises, solve.

Minh is 2 meters tall. His daughter is 88 centimeters tall. How much taller, in meters, is Minh than his daughter?

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Selma had a 1-liter bottle of water. If she drank 145 milliliters, how much water, in milliliters, was left in the bottle?

855 milliliters

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One serving of cranberry juice contains 30 grams of sugar. How many kilograms of sugar are in 30 servings of cranberry juice?

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One ounce of tofu provides 2 grams of protein. How many milligrams of protein are provided by 5 ounces of tofu?

10,000 milligrams

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In the following exercises, convert between U.S. and metric units. Round to the nearest tenth.

Majid is 69 inches tall. Convert his height to centimeters.

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A college basketball court is 84 feet long. Convert this length to meters.

25.6 meters

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Caroline walked 2.5 kilometers. Convert this length to miles.

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Lucas weighs 78 kilograms. Convert his weight to pounds.

171.6 pounds

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Steve’s car holds 55 liters of gas. Convert this to gallons.

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A box of books weighs 25 pounds. Convert this weight to kilograms.

11.4 kilograms

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In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

Chapter practice test

For the numbers 0.18349… , 0. 2 , 1.67 , list the rational numbers and irrational numbers.

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Is 144 rational or irrational?

144 = 12 therefore rational.

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From the numbers −4 , 1 1 2 , 0 , 5 8 , 2 , 7 , which are integers rational irrational real numbers?

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Rewrite using the commutative property: x · 14 = _________

x ·14 = 14· x

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Rewrite the expression using the associative property: ( y + 6 ) + 3 = _______________

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Rewrite the expression using the associative property: ( 8 · 2 ) · 5 = ___________

(8·2)·3 = 8·(2·3)

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Evaluate 3 16 ( 16 3 n ) when n = 42 .

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For the number 2 5 find the additive inverse multiplicative inverse.

  1. 2 5
  2. 5 2

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In the following exercises, simplify the given expression.

( 1.27 q + 0.25 q ) + 0.75 q

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( 8 15 + 2 9 ) + 7 9

23 15

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14 y + ( −6 z ) + 16 y + 2 z

30 y − 4 z

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6 ( 5 x 4 )

30 x − 24

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1 4 ( 8 a + 12 )

2 a + 3

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8 ( 6 p 1 ) + 2 ( 9 p + 3 )

66 p − 2

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( 12 a + 4 ) ( 9 a + 6 )

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In the following exercises, solve using the appropriate unit conversions.

Azize walked 4 1 2 miles. Convert this distance to feet. (1 mile = 5,280 feet).

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One cup of milk contains 276 milligrams of calcium. Convert this to grams. (1 milligram = 0.001 gram)

.276 grams

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Larry had 5 phone customer phone calls yesterday. The calls lasted 28 , 44 , 9 , 75 , and 55 minutes. How much time, in hours and minutes, did Larry spend on the phone? (1 hour = 60 minutes)

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Janice ran 15 kilometers. Convert this distance to miles. Round to the nearest hundredth of a mile. (1 mile = 1.61 kilometers)

9.317 miles

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Yolie is 63 inches tall. Convert her height to centimeters. Round to the nearest centimeter. (1 inch = 2.54 centimeters)

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Use the formula F = 9 5 C + 32 to convert 35 °C to degrees F

95° F

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Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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