Question: Perform the indicated operation and reduce your
Perform the indicated operation and reduce your answer to lowest terms.
> Give an example to show that the stated case can occur. The product of two irrational numbers may be a rational number.
> Evaluate each expression using the order of operations.
> Write the phrase as a mathematical expression. 8, increased by 5 times x
> A number in which each digit except 0 appears exactly three times is divisible by 3. For example, 888,444,555 and 714,714,714 are both divisible by 3. Explain why this outcome must be true.
> Give an example to show that the stated case can occur. The sum of two irrational numbers may be a rational number.
> Evaluate each expression using the order of operations.
> Write the phrase as a mathematical expression. 8 less than y
> Write the phrase as a mathematical expression. 5 less than twice a number
> Recall that if a number is divisible by both 2 and 3, then the number is divisible by 6. If a number is divisible by both 2 and 4, is the number necessarily divisible by 8? Explain your answer.
> Determine whether the statement is true or false. Rewrite each false statement to make it a true statement. A false statement can be modified in more than one way to be made a true statement. The product of any two irrational numbers is always an irratio
> Evaluate each expression using the order of operations.
> Write the phrase as a mathematical expression. 7 times x, increased by 4
> Use the Euclidean algorithm to find the GCD. 496
> Determine whether the statement is true or false. Rewrite each false statement to make it a true statement. A false statement can be modified in more than one way to be made a true statement. The product of any two rational numbers is always a rational n
> Alternative methods for adding and subtracting two fractions are shown below. These methods may not result in a solution in its lowest terms. Use the appropriate formula above to evaluate the expression.
> Speed of Light (a)Light travels at a speed of 1.86 × 105 mi/sec. A lightyear is the distance that light travels in 1 year. Determine the number of miles in a light-year. (b) Earth is approximately 93,000,000 mi from the sun.How long does i
> Use the Euclidean algorithm to find the GCD. 36
> Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d. a1 = 9, d = 7
> Determine whether the statement is true or false. Rewrite each false statement to make it a true statement. A false statement can be modified in more than one way to be made a true statement. (p is a rational number for any prime number p.
> Alternative methods for adding and subtracting two fractions are shown below. These methods may not result in a solution in its lowest terms. Use the appropriate formula above to evaluate the expression.
> Use a scientific calculator to perform the necessary operations. Smartphone Usage In 2014, there were approximately 1.75×109 smartphone users worldwide. If the world’s population in 2014 was about 7.19 × 109, determine the approximate percentage of the w
> Use the Euclidean algorithm to find the GCD. 210, 560
> Dropping an Object The formula can be used to estimate the time, t, in seconds it takes for an object dropped to travel d feet. (a)Estimate the time it takes for an object to drop 100 ft. (b)Estimate the time it takes for an object to drop 400 ft. (c)Es
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. Milligrams and Kilograms In the metric system, 1 gram = 103 milligrams and 1 gram = 10-3 kilogram. What is the relationship between milligrams and kilograms?
> Use the Euclidean algorithm to find the GCD. 78, 104
> A Swinging Pendulum the time T required for a pendulum to swing back and forth may be found by the formula Where l is the length of the pendulum and g is the acceleration of gravity. Determine the time in seconds fo the pendulum to swing back and forth i
> Perform the indicated operation and reduce your answer to lowest terms.
> Evaluate the expression. Assume x ≠ 0. (a)23 – 2 (b) (-2)3 # (-2)
> Use a scientific calculator to perform the necessary operations. Radioactive Isotopes The half-life of a radioactive isotope is the time required for half the quantity of the isotope to decompose. The half-life of uranium-238 is 4.5 × 109 years, and the
> Use the Euclidean algorithm to find the GCD. 36, 60
> Without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a calculator.
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. Bucket Full of Molecules A drop of water contains about 40 billion molecules. If a bucket has half a million drops of water in it, how many molecules of water are in the bucket? Write your
> State a procedure that defines a divisibility test for 22.Euclidean Algorithm Another method that can be used tofind the greatest common divisor is known as the Euclidean algorithm. We illustrate this procedure by finding the GCD of 60 and 220. First div
> Without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a calculator.
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. Computer Speed As of September 25, 2014, the fastest computer in the world was the Tianhe-2 (Milky Way-2) computer located at Sun Yat-Sen University in Guangzhou, China. This computer is ca
> Show that Goldbach’s conjecture is true for the even numbers 4 through 20.
> F = ma; determine m when F = 40 and a = 5(physics).
> Without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a calculator.
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. Traveling to Proxima Centauri The star closest in distance to our own sun is Proxima Centauri. The distance from Earth to Proxima Centauri is approximately 2.5 * 1013 miles. If a spacecraft
> Determine the first five Mersenne prime numbers.
> Rationalize the denominator.
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. China’s GDP In 2013, the GDP (see Exercise 65) of China was about $9.24 trillion, and the population of China was about 1.396 billion people. Determine China’s GDP per person by dividing th
> The primes 2 and 3 are consecutive natural numbers. Is there another pair of consecut
> Rationalize the denominator.
> Write the mathematical expression as a phrase. (There are several acceptable answers.) 3x + 5
> China’s Population. In September 2014, the population of China was about 1.396 billion people, and the population of the world was about 7.194 billion people. Determine the ratio of China’s population to the world’s population by dividing China’s populat
> Landscape Trimming Bianca trims her palm trees every 45 days and her viburnum shrubs every 25 days. If Bianca trims both her palm trees and her viburnum shrubs on the same day, how many days will it be until they are both trimmed on the same day again?
> Rationalize the denominator.
> Perform the indicated operation and reduce your answer to lowest terms.
> Use a scientific calculator to perform the necessary operations. Spain’s Debt per Person In 2014, the Spanish national debt was about 849 billion euros (the euro is the unit of currency in Spain). Spain’s population in 2014 was about 46.7 million people.
> Car Maintenance For many sport utility vehicles, it is recommended that the oil be changed every 3500 miles and that the tires be rotated every 6000 miles. If Carmella just had the oil changed and tires rotated on her SUV during the same visit to her mec
> Rationalize the denominator.
> Perform the indicated operation and reduce your answer to lowest terms.
> List the numbers from smallest to largest. 267,000,000; 3.14 * 107; 1,962,000; 4.79 * 106
> Stacking Trading Cards Desmond collects trading cards. He has 432 baseball cards and 360 football cards. He wants to make stacks of cards on a table so that each stack contains the same number of cards and each card belongs to one stack. If the baseball
> A = lw; determine A when l = 9 and w = 4.(geometry)
> Perform the indicated operation. Simplify the answer when possible.
> Perform the indicated operation and reduce your answer to lowest terms.
> List the numbers from smallest to largest. 8.5 × 10-5; 8.2 × 103 ; 1.3 × 10-1 ; 6.2 × 104
> Barbie and Ken Mary collects Barbie dolls and Ken dolls. She has 390 Barbie dolls and 468 Ken dolls. Mary wishes to display the dolls in groups so that the same number of dolls are in each group and that each doll belongs to one group. If each group is t
> Perform the indicated operation. Simplify the answer when possible.
> Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.
> Perform the indicated operation without the use of a calculator and express each answer in scientific notation. (b) Confirm your answer from part (a) by using a scientific calculator to perform the operations. If the calculator displays the answer in dec
> U.S. Senate Committees The U.S. Senate consists of 100 members. Senate committees are to be formed so that each of the committees contains the same number of senators and each senator is a member of exactly one committee. The committees are to have more
> Perform the indicated operation. Simplify the answer when possible.
> Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.
> Write the mathematical expression as a phrase. (There are several acceptable answers.) x – 2
> Perform the indicated operation without the use of a calculator and express each answer in scientific notation. (b) Confirm your answer from part (a) by using a scientific calculator to perform the operations. If the calculator displays the answer in dec
> Find (a) the greatest common divisor (GCD) and (b) the least common multiple (LCM). 18, 78, and 198
> Perform the indicated operation. Simplify the answer when possible.
> Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.
> Perform the indicated operation without the use of a calculator and express each answer in scientific notation. (b) Confirm your answer from part (a) by using a scientific calculator to perform the operations. If the calculator displays the answer in dec
> Find (a) the greatest common divisor (GCD) and (b) the least common multiple (LCM). 240 and 285
> Perform the indicated operation.
> Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.
> Perform the indicated operation without the use of a calculator and express each answer in scientific notation. (b) Confirm your answer from part (a) by using a scientific calculator to perform the operations. If the calculator displays the answer in dec
> Find (a) the greatest common divisor (GCD) and (b) the least common multiple (LCM). 120 and 240
> Fill in the blank with an appropriate word, phrase, or symbol(s). An equation that typically has a real-life application is called a(n)________ .
> (2). for the rational number p/q p is called the __________.
> During the current year, merchandise is sold for $186,500 cash and $1,437,200 on account. The cost of the goods sold is $900,000. What is the amount of the gross profit?
> Shore Co. sold merchandise to Blue Star Co. on account, $112,000, terms FOB shipping point, n/30. The cost of the goods sold is $67,200. Shore paid freight of $1,800. Shore Co. issued a credit memo for $7,500 to Blue Star Co. for merchandise that was r
> Determine the amount to be paid in full settlement of each of two invoices, (a) and (b), assuming that credit for returns and allowances was received prior to payment and that all invoices were paid within the discount period.
> The Gorman Group is a financial planning services firm owned and operated by Nicole Gorman. As of October 31, 20Y9, the end of the fiscal year, the accountant for The Gorman Group prepared an end-of-period spreadsheet, part of which follows: Instructions
> Light-It-Up Company maintains and repairs warning lights, such as those found on radio towers and lighthouses. Light-It-Up Company prepared the following end-of-period spreadsheet at August 31, 20Y5, the end of the fiscal year: Instructions 1. Prepare an
> Alphabet Inc. (GOOG) and Microsoft Corporation (MSFT) design and distribute consumer and enterprise software, including overlaps in search, business productivity, and mobile operating systems. Alphabet’s primary source of revenue is fro
> Caterpillar Inc. (CAT) is one of the world’s largest manufacturers of construction and mining equipment with revenue over $50 billion per year. The following year-end data were taken from a recent Caterpillar balance sheet (in millions)
> The following year-end data were taken from recent balance sheets of Under Armour, Inc. (UA) (in millions): a. Compute the working capital and the current ratio as of December 31, Year 2 and Year 1. Round to one decimal place. b. What conclusions concer
> The Foot Locker, Inc. (FL) and Dick’s Sporting Goods, Inc. (DKS) are two retail chains. The current assets and current liabilities from recent balance sheets for both companies are as follows (in millions): a. Compute the working capit
> Data (in millions) from recent financial statements of Zynga Inc. (ZNGA), Electronic Arts Inc. (EA), and Take-Two Interactive Software, Inc. (TTWO) are as follows: a. Compute the working capital for Year 2 and Year 1 for each company. b. Which company
> On July 1, the supplies account balance was $1,680. During July, supplies of $5,250 were purchased, and $1,810 of supplies was on hand as of July 31. Determine supplies expense for July.
> Amazon.com, Inc. (AMZN) is the largest Internet retailer in the United States. Best Buy, Inc. (BBY) is a leading retailer of technology and media products in the United States. Amazon and Best Buy compete in similar markets; however, Best Buy sells throu
> An accountant prepared the following post-closing trial balance: Prepare a corrected post-closing trial balance. Assume that all accounts have normal balances and that the amounts shown are correct.
> Easy Weight Loss Co. offers personal weight reduction consulting services to individuals. After all the accounts have been closed on November 30, 20Y7, the end of the fiscal year, the balances of selected accounts from the ledger of Easy Weight Loss are
> Paoli Consulting is a consulting firm owned and operated by Mary Paoli. The following end-of-period spreadsheet was prepared for the year ended March 31, 20Y9: Based on the preceding spreadsheet, prepare an income statement, statement of stockholders&a
> A cash T account for Pryor Consulting Services’ first month of operations ended March 31, 20Y3, is as follows: a. Classify each of the March cash transactions as an operating, investing, or financing activity using the preceding forma
