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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Chandler buys a monthly MetroCard, which entitles him to unlimited subway travel in New York City, for $112 per month. Without the Metrocard, each sub-way ride costs $2.50. How many rides per month
The following table shows the five cities where the average U.S. house prices have increased the most from 2012 to 2013. The table also shows the percent change from 2006 to 2013 for those cities.(a)
The circle graph below shows the percent of bachelor€™s degrees awarded in 2012 in Business, Social Sciences and History, Health Professions, Psychology, Education, and other fields. In
The circle graph below shows the percent of Americans€™ net monthly in-come spent on housing, transportation, food, insurance/retirement, healthcare, and entertainment/miscellaneous. Sammy
According to International Data Corporation, the average price of a smartphone decreased by 12.9% from 2012 to 2013. The average price of a smartphone in 2012 was $387. Determine the average price of
At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 3-ft stick in the ground casts a shadow of 1.2 ft, find the height of a tree
Tony, an architect, is designing a new enclosure for the giraffes at a zoo. The scale of his plan is 1 in. = 2.5yd. He draws a 22.4-in. line on the blueprint to represent the northern boundary of the
The scale on a map is 1 inch = 12 miles. How long a distance is a route on the map if it measures 4.25 in.?
The symbol ≈ means is approximately ______________________ to.Fill in the blank with an appropriate word, phrase, or symbol(s).
The process of arriving at an approximate answer to a question is called _________.Fill in the blank with an appropriate word, phrase, or symbol(s).
Another name for the counting numbers is the numbers.Fill in the blank with an appropriate word, phrase, or symbol(s).
According to the College Board, the average tuition at a public four-year college increased by 2.9% from 2013 to 2014. The average tuition at a public four-year college in 2013 was $8642. Determine
A bag of Turf Builder Sun and Shade Mix grass seed covers an area of 4000 ft2. How many bags are needed to cover an area of 35,000 ft2?
Li’s total monthly expenses consist of room and board: $595; car payment: $289; gas: $120; insurance: $110; and miscellaneous expenses: $230. Estimate Li’s total monthly expenses.
Estimate the answer.The number of months needed to save $400 if you save $23 each month.
Estimate the answer.A 15% tip on a meal that costs $26.32.
Estimate the answer.The weight of one pork chop in a package of six pork chops if the weight of the package is 3.25 lb.
Estimate the answer.The total weight of three people on an elevator if their weights are 95 lb, 127 lb, and 210 lb.
Estimate the answer.The cost of 5 items purchased at a hardware store if the items cost $1.29, $6.86, $12.43, $25.62, and $8.99.
Estimate the answer.The cost of 5 items at a grocery store if the items cost $7.99, $4.23, $16.82, $3.51, and $20.12
Estimate the answer.The cost of 12 gallons of gas if one gallon costs $3.75.
Estimate the answer.The amount of money Issac spends on fast food in a year if the average amount he spends per month is $47.
Estimate the answer.The cost of dinner per person if dinner for 8 people costs $210 and they split the bill evenly.
Estimate the answer.The cost of one tire if a set of 4 tires costs $410
Estimate the answer. There is no one correct estimate.296.3/0.0096
Estimate the answer. There is no one correct estimate.22% of 9116
Estimate the answer. There is no one correct estimate.11% of 8221
Estimate the answer. There is no one correct estimate.51,608 x 6981
Estimate the answer. There is no one correct estimate.0.63 x 1523
Estimate the answer. There is no one correct estimate.405/0.049
Estimate the answer. There is no one correct estimate.1776 x 0.0098
Estimate the answer. There is no one correct estimate.197,500/4.063
Estimate the answer. There is no one correct estimate.86 + 47.2 + 289.8 + 532.4 + 12.8
In how many different ways can four letters, A, B, C, D, be arranged?
David wants to purchase nine herb plants. Countryside Nursery has herbs that are on sale at three for $3.99. David has a coupon for 25% off an unlimited number of herb plants at the original price of
One guess is off by 9, another guess is off by 17, and yet another guess is off by 31. How many jelly beans are in the jar below? HOW MANY My guess is 260 My guess is 274 BEANS My guess is 234
A 10 meter by 12 meter rectangular lawn has a concrete walkway 1 meter wide around the outside of the lawn. What is the area of the walkway?
Three teaspoons equal one tablespoon. A recipe for chili calls for teaspoon of salt for 2 pounds of ground beef. How many tablespoons of salt are needed for 6 pounds of ground beef?
Mary drove from her home to the beach that is 30 mi from her house. The first 15 mi she drove at 60 mph, and the next 15 mi she drove at 30 mph. Would the trip take more, less, or the same time if
Create a magic square by using the numbers 5, 10, 15, 20, 25, 30, 35, 40, and 45. The sum of the numbers in every row, column, and diagonal must be 75
Kono gets $12.75 per hour with time and a half for any time over 40 hours per week. If she works a 50-hr week and gets paid $652.25, by how much was she underpaid?
In this photo of Sunflowers, an 1889 painting by Vincent van Gogh, 1 in. equals 15.8 in. on the actual painting. Find the dimensions of the actual painting.
How much time does it take Carla, a carpenter, to cut a 10-ft length of wood into four equal pieces, if each cut takes 2 1/2 min?
At a local store a six-pack of soda costs $2.59 and individual cans cost $0.80. What is the maximum number of cans of soda that can be purchased for $15?
A truck costs $35 a day plus 20 cents a mile to rent. If the total cost for a one-day rental is $50.40, how many miles were driven?
The following graph shows the annual sales revenue, in billions of dollars, for Facebook for 2012 and 2013.(a) Estimate the sales revenue for Facebook for 2013.(b) Estimate the difference in the
The federal government gives a procedure to determine if a child is overweight. To make this decision, first determine the child€™s body mass index (BMI). Then compare the BMI with one of
Estimate the answers188,000/0.11
Estimate the answers.0.51 x 96,000
Pick any number, multiply the number by 5, and add 10 to the number. Divide the sum by 5. Subtract 1 from the quotient.(a) What is the relationship between the number you started with and the final
Use inductive reasoning to determine the next three numbers in the pattern.1, 1/2, 1/3, 1/4, . . .
Use inductive reasoning to determine the next three numbers in the pattern.2, 8, 14, 20, …
People stand in a line at movies, the grocery store, and many other places.(a) In how many ways can two people stand in a line? (b) In how many ways can three people stand in a line? (c) In
Place the numbers 1 through 12 in the 12 circles so that the sum of the numbers in each of the six rows is 26. Use each number from 1 through 12 exactly once.
Patterns How many orange tiles will be required to build the sixth figure in this pattern?
Draw the next figure in the pattern
How many three-digit numbers greater than 100 are palindromes?
On a balance scale, three green balls balance six blue balls, two yellow balls balance five blue balls, and six blue balls balance four white balls. How many blue balls are needed to balance four
Find the sum of the first 500 counting numbers.
You have 13 coins, which all look alike. Twelve coins weigh exactly the same, but the other one is heavier. You have a pan balance. Tell how to find the heavier coin in just three weighings.
Volume of a Cube Here is a flat pattern for a cube to be formed by folding. The sides of each square are 6 cm. Find the volume of the cube.
Could a person have $1.15 worth of change in his pocket and still not be able to give someone change for a dollar bill? If so, what coins might he have?
An average grade of 80 on all exams in a course is needed to earn a B in the course. On her first four exams, Jacqueline’s grades are 93, 88, 81, and 86. What is the minimum grade that Jacqueline
Three friends check into a single room in a motel and pay $10 apiece. The room costs $25 instead of $30, so a clerk is sent to the room to give $5 back. The friends each take back $1, and the clerk
Jim has four more brothers than sisters. How many more brothers than sisters does his sister Mary have?
A colony of microbes doubles in number every second. A single microbe is placed in a jar, and in an hour the jar is full. When was the jar half full?
Create a magic square by using the numbers 13, 15, 17, 19, 21, 23, 25, 27, and 29. The sum of the numbers in every row, column, and diagonal must be 63.
The following magic square uses each number from 6 to 21 exactly once. Complete the magic square by using the unused numbers from 6 through 21 exactly once. |21 7 10 15 18 14 12 11 17 19
If the following pattern is continued, how many dots will be in the hundredth figure?
Conversions If 1 mi =1.6 km,(a) Convert 65 miles per hour to kilometers per hour. (b) Convert 90 kilometers per hour to miles per hour.
The international date line is an imaginary line of longitude (from the North Pole to the South Pole) on Earth’s surface between Japan and Hawaii in the Pacific Ocean. Crossing the line east to
New York City is on eastern standard time, St. Louis is on central standard time (1 hour earlier than eastern standard time), and Las Vegas is on Pacific standard time (3 hours earlier than eastern
Serena’s bank will grant her a mortgage provided the monthly mortgage payments are not greater than 28% of her monthly take-home pay. What is the maximum monthly mortgage payment the bank will
If 1.5 milligrams of a medicine is to be given for 10 lb of body weight, how many milligrams should be given to a child who weighs 52 lb?
Most insurance companies reduce premiums by 10% for people under the age of 25 who successfully pass a driver’s education course. A particular driver’s education course costs $60. Patrick, who
Ronaldo needs to apply fertilizer to his lawn on his farm. A 30-pound bag of fertilizer will cover an area of 2500 square feet.(a) How many pounds of fertilizer are needed to cover an area of 24,000
Sam and four of his friends want to schedule a 6-hour fishing trip on Lake Ontario with Reel Easy Sport Fishing. The cost for five people is $445. The cost for six people is $510. How much money per
The rental cost of a jet ski from Freemac Marina is $15 for 15 minutes and the cost from Silvan Rental is $25 per half-hour. If you plan to rent the jet ski for 2 hours, which is the better deal and
A six-pack of bottled water costs $1.99. A case of 4 six-packs costs $4.99. How much will be saved by purchasing the case rather than 4 individual six-packs?
David can buy a copier from Staples for $500 that prints, copies, and scans. He can either pay the total amount at the time of purchase, or he can agree to pay the store $50 down and $40 a month for
The scale of a model railroad is 1 in. = 12.5 ft.Estimate the size of an actual box car if this drawing is the same size as the model box car.
If each square represents one square unit, estimate the size of the shaded area.
Estimate the difference in the projected number of RNs needed and the projected number of RNs available in 2020.Refer to the following graph, which illustrates the number of registered nurses (RNs)
Refer to the following graph, which illustrates the number of registered nurses (RNs) needed (demand) and the number of RNs available (supply) from 2000 to 2014. The graph also illustrates the
Estimate the answer. The scale of the map is 1/4 = 0.11 mi. Estimate the distance of the walking path indicated in red. Liberty Bell U.S. Custom House Independence Hall
Estimate the answer. Estimate the total cost of six grocery items that cost $2.49, $0.79, $1.89, $0.10, $2.19, and $6.75.
Estimate the answer. Estimate your average walking speed in miles per hour if you walked 1.1 mi in 22 min.
Estimate the answer.Estimate the sales tax on a boat that costs $21,000 if the sales tax rate is 8%.
Estimate the answer. Cost Estimate the cost of 48 decorative bricks if one brick costs $3.97.
Estimate the answer. 21% of 2095
Estimate the answer. 215.9 + 128.752 + 3.6 + 861 + 792
Estimate the answer. 205, 123 x 4002
Find a counterexample to the statement “The sum of two squares is an even number."
Pick any number between 1 and 20. Add 5 to the number. Multiply the sum by 6. Subtract 12 from the product. Divide the difference by 2. Divide the quotient by 3. Subtract the number you started with
Pick any number and multiply the number by 10. Add 5 to the product. Divide the sum by 5. Subtract 1 from the quotient. (a) What is the relationship between the number you started with and the
Examine the grid above and to the right for a pattern and then select the answer which completes the pattern. (Hint: Think about rotating groups of four squares at a time.) b) d) a) c)
Use inductive reasoning to predict the next three numbers or figures in the pattern.
Use inductive reasoning to predict the next three numbers or figures in the pattern. O.G.0,E).….
Use inductive reasoning to predict the next three numbers or figures in the pattern.6, 3, 3/2, 3/4 , . . .
Use inductive reasoning to predict the next three numbers or figures in the pattern.25, 24, 22, 19, 15,. . .

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