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Questions and Answers of College Algebra

Solve each inequality. Graph the solution set, and write it using interval notation. - (9+x) −5+4x ≥ 4
Find the measure of each angle in the triangles shown. (x + 10)° (12x-30) (x + 4)°
Solve each inequality. Graph the solution set, and write it using interval notation. 2x 8 = -2x - IV
Solve each inequality. Graph the solution set, and write it using interval notation. x - 2(x - 4) = 3x
Solve each inequality. Graph the solution set, and write it using interval notation. 6x-4 ≥ −2x
Find the measure of each angle in the triangles shown. - (x + 11)° (3x - 36)° to
Find the measure of each angle in the triangles shown. (x + 61)° -(2x + 7)°
Find the measure of each angle in the triangles shown. (x - 30)° (2x - 120)° (1/x+15) ⁰
Find the measure of each angle in the triangles shown. -(3x + 7)º -(9x - 4)º (4x + 1).
Solve each inequality. Graph the solution set, and write it using interval notation. 5z +6 > -29
Find the measure of each angle in the triangles shown. (10x-20) -(x + 15)° (x + 5)°
Solve each inequality. Graph the solution set, and write it using interval notation. 3k + 1
Solve each inequality. Graph the solution set, and write it using interval notation. 3x - 2 -5 < 6
Solve each inequality. Graph the solution set, and write it using interval notation. 5x - 6 8 V 8
Sharon commutes to her office by train. When she walks to the train station, it takes her 40 min. When she rides her bike, it takes her 12 min. Her average walking rate is 7 mph less than her average
Mulder and Scully are driving to Georgia to investigate “Big Blue,” a giant reptile reported in one of the local lakes. Mulder leaves the office at 8:30 a.m. averaging 65 mph. Scully leaves at
It took Charmaine 3.6 hr to drive to her mother’s house on Saturday morning for a weekend visit. On her return trip on Sunday night, traffic was heavier, so the trip took her 4 hr. Her average rate
Lois and Clark are covering separate stories and have to travel in opposite directions. Lois leaves the Daily Planet building at 8:00 a.m. and travels at 35 mph. Clark leaves at 8:15 a.m. and travels
Solve each inequality. Graph the solution set, and write it using interval notation. 4x + 1 ≤ -31
On an automobile trip, Laura maintained a steady rate for the first two hours. Rush-hour traffic slowed her rate by 25 mph for the last part of the trip. The entire trip, a distance of 125 mi, took
Johnny leaves Memphis to visit his cousin Anne, who lives in the town of Hornsby, Tennessee, 80 mi away. He travels at an average rate of 50 mph. One-half hour later, Anne leaves to visit Johnny,
Two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling 22 mph. How long will it take for them to be 110 mi apart? Rate Time Distance t First
Solve each inequality. Graph the solution set, and write it using interval notation. -1.3x = -5.2
For each event, find the rate on the basis of the information provided. Use a calculator and round answers to the nearest hundredth. All events were at the 2016 Summer Olympics in Rio de Janeiro,
Solve each inequality. Graph the solution set, and write it using interval notation. 2 3 -x ≤ 12
For each event, find the rate on the basis of the information provided. Use a calculator and round answers to the nearest hundredth. All events were at the 2016 Summer Olympics in Rio de Janeiro,
Solve each inequality. Graph the solution set, and write it using interval notation. 3 4 x ≥ 30
The perimeter of a rectangle is 43 in. more than the length. The width is 10 in. Find the length of the rectangle.
For each event, find the rate on the basis of the information provided. Use a calculator and round answers to the nearest hundredth. All events were at the 2016 Summer Olympics in Rio de Janeiro,
Solve each inequality. Graph the solution set, and write it using interval notation. −5x> 25
The perimeter of a triangle is 34 in. The middle side is twice as long as the shortest side. The longest side is 2 in. less than three times the shortest side. Find the lengths of the three sides.
For each event, find the rate on the basis of the information provided. Use a calculator and round answers to the nearest hundredth. All events were at the 2016 Summer Olympics in Rio de Janeiro,
Solve each inequality. Graph the solution set, and write it using interval notation. -4x < 16
If the lesser of two consecutive odd integers is doubled, the result is 7 more than the greater of the two integers. Find the two integers.
Solve each inequality. Graph the solution set, and write it using interval notation. 2x > -10
Solve each inequality. Graph the solution set, and write it using interval notation. 4x < -16
Find the measure of each marked angle. (10r + 7)° - +7)° (7x + 3)º
The sum of the least and greatest of three consecutive integers is 32 more than the middle integer. What are the three integers?
For a high school production of Hello, Dolly!, student tickets cost $5 each and nonstudent tickets cost $8 each. If 480 tickets were sold and a total of $2895 was collected, how many tickets of each
In 2018, general admission to the Art Institute of Chicago cost $25 for adults and $19 for children and seniors. If $32,972 was collected from the sale of 1460 general admission tickets, how many
In the 19th century, the United States minted two-cent and three cent pieces. Frances has three times as many three-cent pieces as two-cent pieces, and the face value of these coins is $2.42. How
Solve each inequality. Graph the solution set, and write it using interval notation. 5x+6
Hussein collects U.S. gold coins. He has a collection of 41 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $540, how many of each denomination does he have?
Solve each inequality. Graph the solution set, and write it using interval notation. x-3≥7
Solve each inequality. Graph the solution set, and write it using interval notation. 3k + 1 > 22
Nana found some coins under her sofa pillows. There were equal numbers of nickels and quarters and twice as many half-dollars as quarters. If she found $2.60 in all, how many of each denomination of
A certain metal is 20% tin. How many kilograms of this metal must be mixed with 80 kg of a metal that is 70% tin to obtain a metal that is 50% tin? Kilograms of Metal Percent (as a
In Canada, $1 coins are called “loonies” because they have a picture of a loon on the reverse, and $2 coins are called “toonies.” When Marissa returned home to San Francisco from a trip to
A student solved the following inequality incorrectly as shown.Give the correct solution set. -2x < -18 - 2x - 18 풍을 -2 -2 x < 9 Solution set: (-∞, 9)
Solve each inequality. Graph the solution set, and write it using interval notation. x 4 ≥ 12
A student solved the following inequality incorrectly as shown.Give the correct solution set. 4x = -64 4x 4 -64 4 x < -16 Solution set: (-∞, -16]
The top-grossing domestic movie in 2016 was Finding Dory. On opening weekend, one theater showing this movie took in $20,520 by selling a total of 2460 tickets, some at $9 and the rest at $7. How
Joshua has a sheet of tin 12 cm by 16 cm. He plans to make a box by cutting equal squares out of each of the four corners and folding up the remaining edges. How large a square should he cut so that
A student was asked to find the number of nickels and dimes that have a value of $1.45. The total number of coins is 21. Letting x represent the number of nickels, the student wrote the following
Otis has a box of coins that he uses when he plays poker with his friends. The box contains 44 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of
A cashier has a total of 126 bills in fives and tens. The total value of the money is $840. How many of each denomination of bill does he have?
Ahmad works at an ice cream shop. At the end of his shift, he counted the bills in his cash drawer and found 119 bills with a total value of $347. If all of the bills are $5 bills and $1 bills, how
In 2016, the number of films released in U.S. and Canadian movie theaters was 161 more than the number of films released in 2009. A total of 1275 films were released in both years. How many films
Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati, driving toward Atlanta at an average rate of 60 mph. Pat leaves Atlanta at the same time, driving toward Cincinnati in her antique
A high level of triglycerides in the blood also increases a person’s risk of heart disease. The table shows how triglyceride levels affect risk. If x represents the triglycerides number, write a
A high level of LDL cholesterol (“bad cholesterol”) in the blood increases a person’s risk of heart disease. The table shows how LDL levels affect risk.If x represents the LDL cholesterol
A pharmacist has 20 L of a 10% drug solution. How many liters of 5% solution must be added to obtain a mixture that is 8%?
A student was asked to find the measures of the angles of a triangle with degree measures that are consecutive integers. Letting x represent the measure of the smallest angle, the student wrote the
Match each inequality in Column I with the correct graph or interval in Column II.-3 < x < 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-, 3] F. [-3,3]
Russell Westbrook of the Oklahoma City Thunder and James Harden of the Houston Rockets were the leading scorers in the NBA for the 2016–2017 regular season. Together they scored 4914 points, with
A circle has area 25π ft2. What would be the perimeter of a square whose sides each measure the same length as the radius of the circle?
An amount of money is invested at 3% annual simple interest, and $2000 more than that amount is invested at 4%. The total annual interest is $920. How much is invested at each rate?
An equilateral triangle has perimeter 27 in. What would be the area of a square whose sides each measure the same length as the side of the equilateral triangle?
Match each inequality in Column I with the correct graph or interval in Column II.x ≥ 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-∞, 3] F. [-3,3]
Match each inequality in Column I with the correct graph or interval in Column II.-3 ≤ x ≤ 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-∞, 3] F. [-3,3]
Match each inequality in Column I with the correct graph or interval in Column II.x > 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-∞, 3] F. [-3,3]
Match each inequality in Column I with the correct graph or interval in Column II.x < 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-∞, 3] F. [-3,3]
A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts, as shown in the figure. What
An amount of money is invested at 4% annual simple interest, and twice that amount is invested at 5%. The total annual interest is $112. How much is invested at each rate?
Match each inequality in Column I with the correct graph or interval in Column II.x ≤ 3 A. B. C. (3, 0) E. (-3,3) 0 0 II 3 D. (-∞, 3] F. [-3,3]
A square has perimeter 160 in. What would be the perimeter of an equilateral triangle whose sides each measure the same length as the side of the square?
An electronics store offered a new HD television for $255, which was the sale price after the regular price was discounted 40%. What was the regular price?
Tri traveled from Chicago to Des Moines, a distance of 300 mi, in 10 hr. What was his rate in miles per hour?
After a discount of 28.57%, the sale price for a Samsung Galaxy tablet computer was $199.99. What was the regular price of the tablet computer to the nearest cent?
The distance between Cape Town, South Africa, and Miami is 7700 mi. If a jet averages 550 mph between the two cities, what is its travel time in hours?
What amount of money is found in a coin hoard containing 12 dimes and 18 quarters?
The length of a rectangle is 3 in. more than its width. If the length were decreased by 2 in. and the width were increased by 1 in., the perimeter of the resulting rectangle would be 24 in. Find the
In 2015, the corporations securing the most U.S. patents were IBM and Samsung. Together, the two corporations secured a total of 12,368 patents, with Samsung receiving 2250 fewer patents than IBM.
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. 1 -x + 3 1 5x 1 2 +7
As of 2017, the lowest temperature ever recorded in South Dakota was -41 °F. Find the corresponding Celsius temperature to the nearest degree.
Translate each verbal phrase into a mathematical expression using x as the variable.The product of 8 and 16 less than a number
A student translated the phrase “the quotient of a number n and 12” incorrectly as 12/n. Give the correct mathematical expression.
A student translated the phrase “the difference of a number x and 7” incorrectly as 7 - x. Give the correct mathematical expression.
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) 6 less than a number(b) 6 is less than a
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) 8 less than a number(b) 8 is less than a
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. 5(x + 3) - 8 (2x - 6) = 12
Determine whether each is an expression or an equation. Simplify any expressions, and solve any equations. −7(x + 4) + 13(x - 6)
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.When 75% of a number is added to 6, the result is 3 more than the number. Find the number.
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.When 2/3 of a number is subtracted from 12, the result is 10. Find the number.
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number.
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.If the product of a number and -4 is subtracted from the number, the result is 9 more than the
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.The sum of a number and -4 is 18. Find the number.
Translate each verbal sentence into an equation, using x as the variable. Then solve the equation.The sum of a number and 6 is -31. Find the number.
The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width of the rectangle. W W + 12
Translate each verbal phrase into a mathematical expression using x as the variable.The quotient of 9 and five times a nonzero number

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