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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
Identify the kind of line passing through the points \(A\) and \(B\).Use this graph for the following exercises. E A B C F D
Identify the kind of line passing through the points \(C\) and \(D\).Use this graph for the following exercises. E A B C F D
Identify all sets of parallel lines.Use this graph for the following exercises. E A B C F D
Identify all sets of perpendicular lines.Use this graph for the following exercises. E A B C F D
Find \(\overleftarrow{B A} \cup \overline{B C}\).Use the line for the following exercise. A B C D
Find \(\overrightarrow{A D} \cup \overrightarrow{C D}\).Use the line for the following exercise A B C D
Find \(\overline{A C} \cap \overline{B D}\).Use the line for the following exercise A B C D
Find \(\overleftarrow{C A} \cap \overrightarrow{B D}\)Use the line for the following exercise A B C D
Find \(\overline{A B} \cup \overline{B D}\)Use the line for the following exercise A B C D
Find \(\overleftrightarrow{B C} \cup \overrightarrow{B D}\)Use the line for the following exercise A B C D
Name the points in the set \(\overleftrightarrow{F H} \cap \overline{G H}\).For the following exercise, reference this line. E F G H I K L
Name the points contained in the set \(\overrightarrow{H L} \cap \overrightarrow{J L}\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overleftrightarrow{E L} \cup \overrightarrow{G H}\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overleftarrow{G E} \cup \overrightarrow{K L}\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overleftarrow{G E} \cap \overrightarrow{K L}\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overrightarrow{H K} \cap \overleftarrow{J F}\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overrightarrow{G L} \cap K\).For the following exercise, reference this line. E F G H I K L
Name the points in the set \(\overleftarrow{H E} \cup \overrightarrow{K L}\).For the following exercise, reference this line. E F G H I K L
Describe the lighter plane (right) in the drawing.Use the given figure for the following exercises. P B R. T L
Describe the darker plane (left) in the drawing.Use the given figure for the following exercises P B R. T L
Which metric base unit would be used to measure the height of a door?
Which metric base unit would be used to measure your weight?
Which is greater: 12 hectoliters or 12 centiliters?
Convert \(1,520 \mathrm{~cm}\) to meters (m).
Convert \(1.34 \mathrm{~km}\) to decameters (dam).
Convert \(12,700 \mathrm{cg}\) to hectograms (hg).
Convert \(750 \mathrm{~km}\) to millimeters \((\mathrm{mm})\).
Which is the larger measurement: 0.04 dam or \(40 \mathrm{~cm}\) ?
bedroom wall: \(12 \mathrm{~km}^{2}, 12 \mathrm{~m}^{2}, 12 \mathrm{~cm}^{2}\), or \(12 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
city park: \(1,200 \mathrm{~km}^{2}, 1,200 \mathrm{~m}^{2}, 1,200 \mathrm{~cm}^{2}\), or \(1,200 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
kitchen table: \(2.5 \mathrm{~km}^{2}, 2.5 \mathrm{~m}^{2}, 2.5 \mathrm{~cm}^{2}\), or \(2.5 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
\(20,000 \mathrm{~cm}^{2}=\) _________________ m2.Convert the given area to the units shown.
\(5.7 \mathrm{~m}^{2}=\) ___________ cm2.Convert the given area to the units shown.
\(217 \mathrm{~cm}^{2}=\) _____________ mm2.Convert the given area to the units shown.
A wall measures \(4 \mathrm{~m}\) by \(2 \mathrm{~m}\). A doorway in the wall measures \(0.5 \mathrm{~m}\) by \(1.6 \mathrm{~m}\). What is the area of the wall not taken by the door in square meters?
Terrarium: \(50,000 \mathrm{~km}^{3}, 50,000 \mathrm{~m}^{3}, 50,000 \mathrm{~cm}^{3}\), or \(50,000 \mathrm{~mm}^{3}\)Determine the most reasonable value for each volume.
Milk carton: \(236,000 \mathrm{~L}, 236 \mathrm{~L}, 236,000 \mathrm{~mL}\), or \(236 \mathrm{~mL}\)Determine the most reasonable value for each volume.
Box of crackers: \(1,500 \mathrm{~km}^{3}, 1,500 \mathrm{~m}^{3}, 1,500 \mathrm{~cm}^{3}\), or \(1,500 \mathrm{~mm}^{3}\)Determine the most reasonable value for each volume.
\(42,500 \mathrm{~mm}^{3}=\) _____________ \(\mathrm{cm}^{3}\) Convert the given volume to the units shown.
\(1.5 \mathrm{dm}^{3}=\) _______________ mL.Convert the given volume to the units shown.
\(6.75 \mathrm{~cm}^{3}=\) __________ \(\mathrm{mm}^{3}\)Convert the given volume to the units shown.
\(20 \mathrm{~cm} \times 20 \mathrm{~m} \times 20 \mathrm{~cm}\)\(V=\) _____________ \(\mathrm{L}\)Determine the volume of objects with the dimensions shown.
\(12 \mathrm{~mm} \times 5 \mathrm{~cm} \times 1.7 \mathrm{~cm}\) \(V=\) _________ mL.Determine the volume of objects with the dimensions shown.
\(7.3 \mathrm{~m} \times 3.2 \mathrm{~m} \times 7 \mathrm{~m}\)\(V=\) ____________ \(\mathrm{m}^{3}\)Determine the volume of objects with the dimensions shown.
Candy bar:\(50 \mathrm{~kg}, 50 \mathrm{~g}\), or \(50 \mathrm{mg}\)Determine the most reasonable value for each weight.
Lion:\(180 \mathrm{~kg}, 180 \mathrm{~g}\), or \(180 \mathrm{mg}\)Determine the most reasonable value for each weight.
Basketball:\(624 \mathrm{~kg}, 624 \mathrm{~g}\), or \(624 \mathrm{mg}\)Determine the most reasonable value for each weight.
\(8,900 \mathrm{~g}=\) ___________ \(\mathrm{kg}\)Convert the given weight to the units shown.
\(17 \mathrm{~g}=\) ____________ \(\mathrm{mg}\)Convert the given weight to the units shown.
\(0.07 \mathrm{~kg}=\) ___________ \(\mathrm{g}\)Convert the given weight to the units shown.
three \(48 \mathrm{~g}\) granola bars ____________ \(\mathrm{kg}\)Determine the total weight in the units shown.
seven \(28 \mathrm{~g}\) cheese slices ___________ \(\mathrm{mg}\)Determine the total weight in the units shown.
six \(15 \mathrm{mg}\) tea bags ________ g.Determine the total weight in the units shown.
Popsicle:\(28.5^{\circ} \mathrm{C}\) or\(28.5^{\circ} \mathrm{F}\)Determine the most reasonable value for each temperature.
Room temperature:\(20^{\circ} \mathrm{F}\) or\(20^{\circ} \mathrm{C}\)Determine the most reasonable value for each temperature.
Hot coffee:\(71.1^{\circ} \mathrm{C}\) or\(71.1^{\circ} \mathrm{F}\)Determine the most reasonable value for each temperature.
\(450^{\circ} \mathrm{F}=\) ____________ \({ }^{\circ} \mathrm{C}\)Use mental math to approximate the temperature.
\(35^{\circ} \mathrm{C}=\) ___________ \({ }^{\circ} \mathrm{F}\)Use mental math to approximate the temperature.
\(100^{\circ} \mathrm{F}=\) ____________ °C Use mental math to approximate the temperature.
\(225^{\circ} \mathrm{F}=\) ___________ \({ }^{\circ} \mathrm{C}\)Convert the temperatures to the nearest degree.
\(27^{\circ} \mathrm{C}=\) ____________ \({ }^{\circ} \mathrm{F}\)Convert the temperatures to the nearest degree.
\(750^{\circ} \mathrm{F}=\) ____________ \({ }^{\circ} \mathrm{C}\)Convert the temperatures to the nearest degree.
Which base unit would be used to express the following?1. amount of water in a swimming pool 2. length of an electrical wire 3. weight of one serving of peanuts
Order the measures from smallest unit to largest unit.centimeter, millimeter, decimeter
What is a reasonable value for the length of a person's thumb: 5 meters, 5 centimeters, or 5 millimeters?
The firehouse is \(13.45 \mathrm{~km}\) from the library. How many meters is it from the firehouse to the library?
How many liters is 3,565 milliliters?
Caroline and Aiyana are working on a chemistry experiment together and must perform calculations using measurements taken during the experiment. Due to miscommunication, Caroline took measurements in centigrams and Aiyana used milligrams. Convert Caroline's measurement of 125 centigrams to
A bottle contains \(500 \mathrm{~mL}\) of juice. If the juice is packaged in 24-bottle cases, how many liters of juice does the case contain?
The nutrition label on a jar of spaghetti sauce indicates that one serving contains \(410 \mathrm{mg}\) of sodium. You have poured two servings over your favorite pasta before recalling your doctor's advice about keeping your sodium consumption below \(1 \mathrm{~g}\) per meal. Have you followed
A student carefully measured \(0.52 \mathrm{cg}\) of copper for a science experiment, but their lab partner said they need \(6 \mathrm{mg}\) of copper total. How many more centigrams of copper does the student need to add?
Which unit of measure is most reasonable to describe the area of a sheet of paper: \(\mathrm{km}^{2}, \mathrm{~cm}^{2}\), or \(\mathrm{mm}^{2}\) ?
You want to paint your bedroom walls. Which represents a reasonable value for the area of the walls: \(100 \mathrm{~cm}^{2}, 100 \mathrm{~m}^{2}\), or \(100 \mathrm{~km}^{2}\) ?
A landscaper is hired to resod a school's football field. After measuring the length and width of the field they determine that the area of the football field is \(5,350 \mathrm{~km}^{2}\). Does their calculation make sense? Explain your answer.
A plot of land has an area of \(237,500,000 \mathrm{~m}^{2}\). What is the area in square kilometers?
A plot of land has an area of \(0.004046 \mathrm{~km}^{2}\). What is the area of the land in square meters?
A computer chip measures \(10 \mathrm{~mm}\) by \(15 \mathrm{~mm}\). How many square centimeters is the computer chip?
One side of a commercial building is 12 meters long by 9 meters high. There is a rolling door on this side of the building that is 4 meters wide by 3 meters high. You want to refinish the side of the building, but not the door, with aluminum siding. How many square meters of aluminum siding are
A national park has a land area in the shape of a rectangle. The park measures 2.2 kilometers long by 1,250 meters wide. What is the area of the park in square kilometers?
A kitchen floor has an area of \(15 \mathrm{~m}^{2}\). The floor in the kitchen pantry is \(100 \mathrm{~cm}\) by \(200 \mathrm{~cm}\). You want to tile the kitchen and pantry floors using the same tile. How many square meters of tile do you need to buy?
A grandparent wants to send cookies to their grandchild away at college. Which represents a reasonable value for the volume of a box to ship the cookies:- \(3,375 \mathrm{~km}^{3}\),- \(3,375 \mathrm{~m}^{3}\), or- \(3,375 \mathrm{~cm}^{3}\) ?
A food manufacturer is prototyping new packaging for one of its most popular products. Which represents a reasonable value for the volume of the box:- \(2 \mathrm{dm}^{3}\),- \(2 \mathrm{~cm}^{3}\), or- \(2 \mathrm{~mm}^{3}\) ?
A farmer has a hay loft. They calculate the volume of the hayloft as \(64 \mathrm{~cm}^{3}\). Does the calculation make sense? Explain your answer.
A pencil case has a volume of \(1,700 \mathrm{~cm}^{3}\). What is the volume in cubic millimeters?
A shipping container has a volume of \(33.2 \mathrm{~m}^{3}\). What is the volume in cubic centimeters?
A holding tank at the local aquarium has a volume of \(22,712,000,000 \mathrm{~cm}^{3}\). What is the volume in cubic meters?
A holding tank at the local aquarium has a volume of \(22,712,000,000 \mathrm{~cm}^{3}\) ? What is the capacity of the holding tank in liters?
An airplane used \(150 \mathrm{~m}^{3}\) of fuel to fly from New York to Hawaii. How many liters of fuel did the airplane use?
How many liters can a pitcher with a volume of \(8,000,000 \mathrm{~mm}^{3}\) hold?
A cubic shipping carton's dimensions measure \(2 \mathrm{~m} \times 2 \mathrm{~m} \times 2 \mathrm{~m}\). A company wants to fill the carton with smaller cubic boxes that measure \(10 \mathrm{~cm} \times 10 \mathrm{~cm} \times 10 \mathrm{~cm}\). How many of the smaller boxes will fit in each
A carton of juice measures \(6 \mathrm{~cm}\) long, \(6 \mathrm{~cm}\) wide and \(20 \mathrm{~cm}\) tall. A factory produces 28,800 liters of orange juice each day. How many cartons of orange juice are produced each day?
A fish tank measures \(60 \mathrm{~cm}\) long, \(15 \mathrm{~cm}\) wide and \(34 \mathrm{~cm}\) tall (Figure 9.11). The tank is 25 percent full. How many liters of water are needed to completely fill the tank? 60 cm Figure 9.11 15 cm 34 cm
Which is the more reasonable value for the weight of a newborn baby:- \(3.5 \mathrm{~kg}\) or- \(3.5 \mathrm{~g}\) ?
Which of the following represents a reasonable value for the weight of three lemons?- \(250 \mathrm{~g}\)- \(2,500 \mathrm{~g}\), or- \(250 \mathrm{~kg}\) ?
The blue whale is the largest living mammal on Earth. Which of the following is a reasonable value for the weight of a blue whale: \(149 \mathrm{~g}, 149 \mathrm{~kg}\), or \(149 \mathrm{mt}\) ? Explain your answer.
How many kilograms are in \(24,300,000\) milligrams?
The average ostrich weighs approximately 127 kilograms. How many grams does an ostrich weigh?
How many milligrams are there in 0.025 kilograms?
The maximum weight for a child to safely use a car seat is 29 kilograms. If a child weighs 23,700 grams, can the child safely use the car seat?
A recipe for scones calls for 350 grams of flour. How many kilograms of flour are required to make 4 batches of scones?
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