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Questions and Answers of College Algebra

The John Hancock Center tapers as it rises. The top floor is rectangular and has perimeter 520 ft. The width of the top floor measures 20-ft more than one-half its length. What are the dimensions of
Translate each verbal phrase into a mathematical expression using x as the variable.The quotient of three times a number and 10
In 2015, 16.2 million more U.S. residents traveled to Mexico than to Canada. There was a total of 41.2 million U.S. residents traveling to these two countries. How many traveled to each country? Step
Translate each verbal phrase into a mathematical expression using x as the variable.The product of 8 more than a number and 5 less than the number
Translate each verbal phrase into a mathematical expression using x as the variable.15 more than one-half of a number
Translate each verbal phrase into a mathematical expression using x as the variable.12 increased by four times a number
The John Hancock Center in Chicago has a rectangular base. The length of the base measures 65-ft less than twice the width. The perimeter of the base is 860 ft. What are the dimensions of the base?
Translate each verbal phrase into a mathematical expression using x as the variable.Triple a number, decreased by 14
Translate each verbal phrase into a mathematical expression using x as the variable.Twice a number, decreased by 13
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. 8 1 | | 10
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. -7 (x + 4) + 13(x - 6) = 18
In each of the following, translate part (a) As an expression and translate part (b) As an equation or inequality Use x to represent the number.(a) 5 greater than a number(b) 5 is greater than
In each of the following, translate part (a) As an expression and translate part (b) As an equation or inequality Use x to represent the number.(a) 15 more than a number(b) 15 is more than a
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. 5(x + 3) - 8(2x - 6)
Grant Wood painted his most famous work, American Gothic, in 1930 on composition board with perimeter 108.44 in. If the rectangular painting is 5.54 in. taller than it is wide, find the dimensions of
Lee Ann wants to mix tea worth 2¢ per oz with 100 oz of tea worth 5¢ per oz to make a mixture worth 3¢ per oz. How much 2¢ tea should be used? Ounces of Tea Cost per Ounce (in dollars) Total
Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $6 per lb to make a mixture worth $5 per lb. How many pounds of $6 nuts must he use? Pounds of Nuts Cost per Pound (in
In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to obtain a 14% solution. How many liters of the 20% solution are needed? agge
How many liters of a 14% alcohol solution must be mixed with 20 L of a 50% solution to obtain a 30% solution? Liters of Solution X Percent (as a decimal) 0.14 0.50 Liters of Pure Alcohol
How many liters of a 10% acid solution must be mixed with 10 L of a 4% solution to obtain a 6% solution? Liters of Solution 10 X Percent (as a decimal) 0.04 0.10 0.06 Liters of Pure Acid
Problem AJack has $800 invested in two accounts. One pays 3% interest per year and the other pays 6% interest per year. The amount of yearly interest is the same as he would get if the entire $800
Sheryl won $60,000 on a slot machine in Las Vegas. She invested part of the money at 2% simple interest and the rest at 3%. In one year, she earned a total of $1600 in interest. How much was invested
Problem AJack has $800 invested in two accounts. One pays 3% interest per year and the other pays 6% interest per year. The amount of yearly interest is the same as he would get if the entire $800
Problem AJack has $800 invested in two accounts. One pays 3% interest per year and the other pays 6% interest per year. The amount of yearly interest is the same as he would get if the entire $800
Problem AJack has $800 invested in two accounts. One pays 3% interest per year and the other pays 6% interest per year. The amount of yearly interest is the same as he would get if the entire $800
Mario earned $12,000 last year giving tennis lessons. He invested part of the money at 3% simple interest and the rest at 4%. In one year, he earned a total of $440 in interest. How much did he
How much water must be added to 6 gal of a 4% insecticide solution to reduce the concentration to 3%?
How much pure dye must be added to 4 gal of a 25% dye solution to increase the solution to 40%?
In 2017, the average cost of a traditional Thanksgiving dinner for 10, featuring turkey, stuffing, cranberries, pumpkin pie, and trimmings, was $49.12, a decrease of 1.48% from the cost in 2016. What
How many liters of a 10% alcohol solution must be mixed with 40 L of a 50% solution to obtain a 40% solution?
Mona received a year-end bonus of $17,000 from her company and invested the money in an account paying 6.5%. How much additional money should she deposit in an account paying 5% so that the return on
Dan has invested $12,000 in bonds paying 6%. How much additional money should he invest in a certificate of deposit paying 3% simple interest so that the total return on the two investments will be
Piotr invested some money at 3.5% simple interest, and $5000 more than three times this amount at 4%. He earned $1440 in annual interest. How much did he invest at each rate?
Ted Williams and Rogers Hornsby were two great hitters in Major League Baseball. Together, they had 5584 hits in their careers. Hornsby had 276 more hits than Williams. How many hits did each have?
Michelle invested some money at 4.5% simple interest and $1000 less than twice this amount at 3%. Her total annual income from the interest was $1020. How much was invested at each rate?
Galileo Galilei conducted experiments involving Italy’s famous Leaning Tower of Pisa to investigate the relationship between an object’s speed of fall and its weight. The Leaning Tower is 804 ft
Write an equation based on the following problem, solve the equation, and explain why the problem has no solution.How much 30% acid should be mixed with 15 L of 50% acid to obtain a mixture that is
Why is it impossible to mix candy worth $4 per lb and candy worth $5 per lb to obtain a final mixture worth $6 per lb?
David sold his house for $159,000. He got this amount knowing that he would have to pay a 6% commission to his agent. What amount did he have after the agent was paid?
At the end of a day, Lawrence found that the total cash register receipts at the motel where he works were $2725. This included the 9% sales tax charged. Find the amount of tax.
In 2016, the average cost of a Thanksgiving turkey was $22.74. This price had decreased by 1.58% in 2017. What was the average cost of a Thanksgiving turkey in 2017?
On Major League Baseball Opening Day 2016, the payroll of the Cleveland Indians was $87.2 million. In 2017, it had increased 44.3%. To the nearest tenth of a million, what was the opening-day payroll
In 2013, mobile messaging service WhatsApp had 300 million monthly active users worldwide. By 2017, this number had increased 333.3%. To the nearest million, what was the number of WhatsApp monthly
The Vietnam Veterans Memorial in Washington, DC, is in the shape of two sides of an isosceles triangle. If the two walls of equal length were joined by a straight line of 438-ft, the perimeter of the
The U.S. population reached 321 million in 2015 and is expected to reach 347 million by the year 2025. What percent increase is expected over this time period, to the nearest tenth of a percent?
In 2015, the number of graduating seniors taking the ACT exam was 1,924,436. In 2011, a total of 1,617,173 graduating seniors took the exam. By what percent did the number increase over this period
In 2017, two popular brands on Instagram were National Geographic and Nike. National Geographic had 8.0 million more followers than Nike. Together, the two brands had 158.8 million followers. How
In 2017, the Los Angeles Dodgers and the New York Yankees had the highest payrolls in Major League Baseball. The Dodgers’ payroll was $40.6 million more than the Yankees’ payroll, and the two
On a particular day in 2017, two of the longest-running Broadway shows were The Phantom of the Opera and Chicago. Together, there were 20,721 performances of these two shows during their Broadway
The two companies with top revenues in the Fortune 500 list for 2016 were Walmart and Berkshire Hathaway. Their revenues together totaled $710.5 billion. Berkshire Hathaway revenues were $263.3
The Bermuda Triangle supposedly causes trouble for aircraft pilots. It has a perimeter of 3075 mi. The shortest side measures 75 mi less than the middle side, and the longest side measures 375 mi
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.Refer to the steps used to solve the equation in Exercise 84, and solve
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.Solve the equation. Give the solution set. First Equation 7x + 8 3 =
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.(a) Divide each side of the first equation by the coefficient of x. Give
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.(a) Combine like terms in the first equation.(b) Combine like terms in
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.Look at the answer for the second equation in Exercise 82(b). What
Consider the following equations.Solving the second equation for x requires the same logic as solving the first equation for x.(a) Transform so that the term involving x is on the left side of the
Apply the formulas for determining a child’s body surface area and a child’s dose of a medication.If the usual adult dose of a medication is 500 mg, what is the child’s dose, to the nearest
Apply the formulas for determining a child’s body surface area and a child’s dose of a medication.Find the body surface area, to the nearest hundredth, of a child with each weight.(a) 30 lb (b)
Apply the formulas for determining a child’s body surface area and a child’s dose of a medication.If the usual adult dose of a medication is 250 mg, what is the child’s dose, to the nearest
Apply the formulas for determining a child’s body surface area and a child’s dose of a medication.Find the body surface area, to the nearest hundredth, of a child with each weight.(a) 20 kg (b)
Solve each equation, and check the solution.0.006(50 - x) = 0.272 - 0.004x
Solve each equation, and check the solution.0.006(x + 2) = 0.007x + 0.009
Solve each equation, and check the solution.0.08x + 0.12(260 - x) = 0.48x
Solve each equation, and check the solution.0.05x + 0.10(200 - x) = 0.45x
Solve each equation, and check the solution.0.04(90) + 0.12x = 0.06(460 + x)
Solve each equation, and check the solution.0.02(50) + 0.08x = 0.04(50 + x)
Solve each equation, and check the solution. 2x + 5 5 3x + 1 2 + -x + 8 16
The Jurassic Park Collection in Blu-Ray was on sale for $29.96. The list price (full price) of this three-disc set was $44.98. To the nearest tenth, what was the percent discount?
Solve each equation, and check the solution. 4x + 1x + 5 3 6 + x - 3 6
An average middle-income family will spend $241,080 to raise a child from birth through age 17. The graph shows the percents spent for various categories. Use the graph to answer each question.About
Solve each equation, and check the solution.0.09x + 0.13(x + 300) = 61
The movie Transformers: The Last Knight in DVD was on sale for $16.17. The list price (full price) of this disc was $17.99. To the nearest tenth, what was the percent discount?
An average middle-income family will spend $241,080 to raise a child from birth through age 17. The graph shows the percents spent for various categories. Use the graph to answer each question.How
Solve each equation, and check the solution. 3.x + 2 7 x+4 5 = 2
Solve each equation, and check the solution.0.05x + 0.12(x + 5000) = 940
Between 2000 and 2016, the estimated population of metro Chicago, Illinois, grew from 9,098,316 to 9,512,999. What was the percent increase to the nearest tenth?
An average middle-income family will spend $241,080 to raise a child from birth through age 17. The graph shows the percents spent for various categories. Use the graph to answer each question.To the
Solve each equation, and check the solution.0.05x - 0.1x + 0.6 = 0.04x + 2.22
Between 2000 and 2016, the estimated population of metro New Orleans, Louisiana, declined from 1,337,726 to 1,268,883. What was the percent decrease to the nearest tenth?
An average middle-income family will spend $241,080 to raise a child from birth through age 17. The graph shows the percents spent for various categories. Use the graph to answer each question.To the
Solve each equation, and check the solution.0.006x - 0.02x + 0.03 = 0.008x + 0.25
Clayton bought a ticket to a rock concert at a discount. The regular price of the ticket was $70.00, but he paid only $56.00. What was the percent discount?
In June 2017, 69.5 million U.S. households owned at least one Internet-enabled device (such as a smart TV, a video game console, or a multimedia device) that could stream video to a TV set. Use this
Solve each equation, and check the solution.0.05x + 0.08 + 0.06x = 0.07x + 0.68
Solve each equation, and check the solution. 3x - 1 4 + x+3 6 3
Solve each equation, and check the solution. x 10 - 5 2 + 5 || X 3
In June 2017, 69.5 million U.S. households owned at least one Internet-enabled device (such as a smart TV, a video game console, or a multimedia device) that could stream video to a TV set. Use this
After 1 yr on the job, Grady got a raise from $10.50 per hour to $11.76 per hour. What was the percent increase in his hourly wage?
Solve each equation, and check the solution. 5 - x 6 + 5 X 6 54 ||
Solve each equation, and check the solution. 8x 3 2 -13
Solve each equation, and check the solution.0.04x + 0.06 + 0.03x = 0.03x + 1.46
In baseball, winning percentage (Pct.) is commonly expressed as a decimal rounded to the nearest thousandth. To find the winning percentage of a team, divide the number of wins (W) by the total
In June 2017, 69.5 million U.S. households owned at least one Internet-enabled device (such as a smart TV, a video game console, or a multimedia device) that could stream video to a TV set. Use this
Solve each equation, and check the solution. X 2 + x | دي 3 = 5 ||
In June 2017, 69.5 million U.S. households owned at least one Internet-enabled device (such as a smart TV, a video game console, or a multimedia device) that could stream video to a TV set. Use this
Solve each equation, and check the solution. 3x 4 + 5x 2 = 13
In baseball, winning percentage (Pct.) is commonly expressed as a decimal rounded to the nearest thousandth. To find the winning percentage of a team, divide the number of wins (W) by the total
Solve each equation, and check the solution. 7 --x -x=6 8
Solve each equation, and check the solution. 6 5 = -1

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