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mathematics
survey of mathematics
Questions and Answers of
Survey of Mathematics
Indicate the meaning of the prefix.Deka.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Centimeters, cm, are a measure of __________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The two unit fractions that relate feet and inches are _________ and __________ .
A high school track is an oval that measures 400 m around. If Savannah jogs around the track six times, how many kilometers has she gone?
Fill in the blanks with an appropriate word, phrase, or symbol(s).A metric tonne is the unit used to express the _________ of a very heavy item, such as a dump truck.
Indicate the meaning of the prefix.Hecto.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Hectares, ha, are a measure of _____________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The two unit fractions that relate seconds and minutes are _________ and _______.
How many times greater is a kilometer than a dekameter?
Fill in the blanks with an appropriate word, phrase, or symbol(s).The metric unit that is a little more than 2.2 pounds is the _____________ .
Indicate the meaning of the prefix.Mili.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Cubic meters, m3, are a measure of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A fraction in which the numerator and denominator contain different units, and the value of the fraction is 1, is called a(n)
Convert 46.2 cm to hm.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The mass of a nickel is about 5 __________ .
Indicate the meaning of the prefix.Centi.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Millimeters, mm, are a measure of __________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A procedure used to convert from one unit of measurement to a different unit of measurement is called ____________ analysis.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The base unit of mass in the metric system is the ____________.
Indicate the meaning of the prefix.Kilo.
If the cost of oranges is $3.50 per kilogram, determine the cost of 1 lb of oranges.
Determine the metric unit that would best express the volume of the following.Air in a soccer ball.
Peppers in Rome, Italy, cost 2 euros (€) per kilogram.(a) Determine the cost per pound, in euros, for the peppers.(b) If 1€ can be converted to $1.40 U.S., determine the cost, in U.S. dollars, of
The most visited mountain in the world is Mount Fuji in Japan, which has a height of 3776 meters. The second most visited mountain in the world is Pikes Peak in Colorado, which has a height of 4302
Forty-three grams of salt and 30 grams of pepper are added to 120 ml of water. What is the total mass of the mixture in grams?
The photo shows tomatoes for sale in Amsterdam, the Netherlands.(a) The tomatoes cost 2.50 euros per kilogram. Determine the price of 1 pound of tomatoes in euros.(b) If 1 euro can be converted to
Choose the best answer to indicate the volume of the following.A desk drawer(a) 7780 mm3 (b) 7780 dm3 (c) 7780 cm3
A bridge has a weight restriction of 3.5 metric tonnes (t). If the weight of an empty truck is 2.92 t and the driver and passengers together weigh 180 kilograms, how much cargo, in metric tonnes, can
On August 4, 2014, the conversion rates for the U.S. dollar were as follows: One U.S. dollar could buy 0.75 euro, 1.09 Canadian dollars, or 13.20 Mexican pesos. Using this information, determine the
Sean takes two 250-mg chewable calcium tablets each day.(a) How many milligrams of calcium will Sean take in a week?(b) How many grams of calcium will Sean take in a week?
As shown in the photo, curry being sold at an outdoor market in Paris costs 7 euros per 100 grams.(a) Determine the cost, in euros, for 1 kilogram of the curry.(b) Determine the cost, in euros, for
An advertisement for Piaggio airplanes stated that their Avanti II had a speed of 402 knots, or 745 kilometers per hour, or 463 miles per hour. Using this information, determine a unit fraction to
Choose the best answer to indicate the volume of the following.The volume of a typical living room(a) 45 km3 (b) 45 m3 (c) 45 cm3
A jet can travel about 1 km on 17 kg of fuel. How many metric tonnes of fuel will the jet use flying nonstop between Baltimore and Los Angeles, a distance of about 4320 km?
Choose the best answer to indicate the volume of the following.A carry-on suitcase(a) 0.04 cm3 (b) 0.04 mm3 (c) 0.04 m3
In caring for a patient after delivery, you are to give 0.2 mg Ergotrate Maleate. The ampule is labeled 1/300 grain/ml. How much would you draw and give? (60 mg = 1 grain)(a) 15 cc(b) 1.0 cc(c) 0.5
Choose the best answer to indicate the volume of the following.Juice that can be squeezed out of an orange(a) 120 k(b) 120 m(c) 120
A high school has a 400-m oval track. If Patty runs around the track eight times, how many kilometers has she traveled?
Paul is organizing a picnic and plans to purchase 0.18 kg of ground beef for each 100 lb of weight of guests who will be in attendance. If he expects 15 people whose average weight is 130 lb, how
Choose the best answer to indicate the volume of the following.The air in a basketball(a) 6370 m3 (b) 6370 mm3 (c) 6370 cm3
Convert as indicated.6.2 kg = _________ t
Choose the best answer to indicate the volume of the following.Soda in a full soda can(a) 355 l (b) 355 ml (c) 355 m3
Choose the best answer to indicate the volume of the following.Water in a 24-ft-diameter above-ground circular swimming pool(a) 55 l (b) 55 ml (c) 55 kl
Convert as indicated.17.4 t = _______________ g
This photo taken at the Roland Garros Tennis Stadium in Paris shows the distances from the Roland Garros Stadium to tennis stadiums where the other three grand slams of tennis are played.(a) How much
Compute the actual volume of the item. When appropriate, use the π key on your calculator. Round answers to two decimal places.Air in a pizza box that is 46 cm long, 46 cm wide, and 5 cm tall (Use V
Convert as indicated.1,460,000 mg = _______________ t
Fill in the blank to make a true statement.1 gigameter = _________ megameters
Compute the actual volume of the item. When appropriate, use the π key on your calculator. Round answers to two decimal places.Water in a water bed that is 2 m long, 1.5 m wide, and 25 cm deep (Use
Compute the actual volume of the item. When appropriate, use the π key on your calculator. Round answers to two decimal places.Oil in a barrel that has a height of 1 m and a diameter of 0.5 m (Use V
Convert as indicated.9.52 t = ___________ kg
Fill in the blank to make a true statement.1 nanogram = _________ micrograms
(a) Is a person’s mass the same in space as on Earth? Explain.(b) Is a person’s weight the same in space as on Earth? Explain.
Fill in the blank to make a true statement.1 teraliter = _________ picoliters
Compute the actual volume of the item. When appropriate, use the π key on your calculator. Round answers to two decimal places.Water in a cylindrical tank that is 40 cm in diameter and 2 m high (Use
A temperature display at a bank flashes the temperature in degrees Fahrenheit and then flashes the temperature in degrees Celsius. If it flashes 78°F, then 20°C, is there a problem with the
Fill in the blank to make a true statement.1 megagram = _________ nanograms
One liter of liquid has the equivalent volume of which of the following: a cubic centimeter, a cubic decimeter, or a cubic meter?Select the best answer.
Write an equivalent metric measurement without using any zeros. For example, you can write 3000 m without zeros as 3 km and 0.0003 hm as 3 cm.9000 cm
One cubic meter has the equivalent volume of which of the following liquid measures: a liter, a milliliter, or a kiloliter?Select the best answer.
Write an equivalent metric measurement without using any zeros. For example, you can write 3000 m without zeros as 3 km and 0.0003 hm as 3 cm.2000 mm
One milliliter of liquid has the equivalent volume of which of the following: a cubic centimeter, a cubic decimeter, or a cubic meter?Select the best answer.
Determine the quantity needed to replace the question mark to make the scale balance. The weight times the distance on both sides of the fulcrum (the triangle) must be the same to make the scale
A hectare has an area of about how many acres: 2.5, 25, or 250?Select the best answer.
Use a metric ruler to measure the length and width of the sides of the rectangle. Then compute the area of the rectangle. Give your answers in metric units. (Use the formula A = lw.)When appropriate,
Write an equivalent metric measurement without using any zeros. For example, you can write 3000 m without zeros as 3 km and 0.0003 hm as 3 cm.0.02 kl
Use a metric ruler to find the radius of the circle. Then compute the area of the circle. Give your answers in metric units. (Use the formula A = Ïr2.)When appropriate, use the
Write an equivalent metric measurement without using any zeros. For example, you can write 3000 m without zeros as 3 km and 0.0003 hm as 3 cm.500 cm
The world’s largest helicopter that went into production is the Russian-built MI-26. Its single top rotor blade is 32.0 meters long. What is the area of the circle formed by the spinning rotor
A rectangular building 50 m by 70 m is surrounded by a walkway 1.5 m wide.(a) Find the area of the region covered by the building and the walkway.(b) Find the area of the walkway.When appropriate,
Wolfgang purchased a large rectangular piece of land to be used to grow flowers. The dimensions of the land are 3.2 km by 1.9 km. (a) How many square kilometers of land did he purchase? (b)
The dimensions of a large rectangular playground are 42.4 m by 32.5 m.(a) Determine the area of the playground in square meters. (b) If 1 m2 equals 0.0001 ha, determine the area of the
The total area of a framed painting including the matting is 2540 cm2. If the length and width of the actual painting are 37 cm and 28 cm, respectively, determine the area of the matting.When
A cylindrical saucepan has a diameter of 18.0 cm and a height of 9.0 cm. Determine the volume of the saucepan in cubic centimeters.When appropriate, use the π key on your calculator.
How many times larger is a square kilometer than a square hectometer?When appropriate, use the π key on your calculator.
How many times larger is a square kilometer than a square dekameter?When appropriate, use the π key on your calculator.
How many times larger is a cubic meter than a cubic decimeter?When appropriate, use the π key on your calculator.
How many times larger is a cubic centimeter than a cubic millimeter?When appropriate, use the π key on your calculator.
Replace the question mark with the appropriate value.1 cm2 = ? mm2
Replace the question mark with the appropriate value.1 km2 = ? dam2
Replace the question mark with the appropriate value.1 cm2 = ? m2
Replace the question mark with the appropriate value.1 mm3 = ? dm3
Replace the question mark with the appropriate value.1 m3 = ? cm3
Replace the question mark with the appropriate value.1 hm3 = ? km3
Fill in the blank.501 m3 = ___________ ml
Fill in the blank.435 cm3 = _________ l
Fill in the blank.263 kl = ________ m3
Fill in the blank.4.2 l = ___________ cm3
When the ice melts, determine the approximate amount of water, in cubic centimeters, obtained from the ice.Assume that a part of a glacier that contains 60 cubic meters of ice breaks off and falls
Fill in the blank to make a true statement.6.7 kl = _______ dm3.
Fill in the blank to make a true statement.1.4 ha = _______ cm2.
(a) Change 1 square mile to square inches.(b) Is converting from one unit of area to a different unit of area generally easier in the metric system or the U.S. customary system? explain.
How much water do we use daily? On the average, people in the United States use more water than people anywhere else in the world.(a) Take a guess at the number of liters of water used per day per
(a) To what decimal value is (√5 + 1)/2 approximately equal?(b) To what decimal value is (√5 - 1) /2 approximately equal?(c) By how much do the results in parts (a) and (b) differ?
A student multiplied both sides of the inequality (-1/3)x ≤ 4 by -3 and forgot to reverse the direction of the inequality symbol. What is the relation between the student’s incorrect solution set
Teresa’s five test grades for the semester are 86%, 78%, 68%, 92%, and 72%. Her final exam counts one-third of her final grade. What range of grades on her final exam would result in Teresa
Donovan is painting the exterior of his house. The instructions on the paint can indicate that 1 gal covers from 250 to 400 ft2. The total surface of the house to be painted is 2750 ft2. Determine
The Palm Beach State College Planning Committee wants to rent tents for the spring job fair. Rent-a-Tent charges $325 for setup and delivery of its tents. This fee is charged regardless of the number
What range of grades on the fifth test would result in Devon receiving a grade of B if his grades on the first four tests were 78%, 64%, 88%, and 76%?
The minimum speed for vehicles on a highway is 40 mph, and the maximum speed is 55 mph. If Philip has been driving nonstop along the highway for 4 hr, what range in miles could he have legally
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