Multiple ChoiceSolve the Equation. 3(2−5x)=4x+253\left(2-5x\right)=4x+253(2−5x)=4x+25517views33rank
Multiple ChoiceSolve the equation. Then state whether it is an identity, conditional, or inconsistent equation. x4+16=x3\frac{x}{4}+\frac16=\frac{x}{3}4x+61=3x353views7rank3comments
Multiple ChoiceSolve the equation. Then state whether it is an identity, conditional, or inconsistent equation. −2(5−3x)+x=7x−10-2\left(5-3x\right)+x=7x-10−2(5−3x)+x=7x−10365views11rank2comments
Multiple ChoiceSolve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 5x+17=8x+12−3(x+4)5x+17=8x+12-3\left(x+4\right)5x+17=8x+12−3(x+4)206views
Multiple ChoiceSolve the equation.92+14(x+2)=34x\frac92+\frac14\left(x+2\right)=\frac34x29+41(x+2)=43x398views9rank
Multiple ChoiceSolve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 5x+17=8x+12−3(x+4)5x+17=8x+12-3\left(x+4\right)355views5rank
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 1/x + 2 = 3/x281views
Textbook QuestionSolve each equation. A= 24f / B(p+1), for f (approximate annual interest rate)365views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. (x−2)/2x + 1 = (x+1)/x287views
Textbook QuestionDecide whether each statement is true or false. The solution set of 2x+5=x -3 is {-8}.369views
Textbook QuestionSolve each problem. If x represents the number of pennies in a jar in an applied problem, which of the following equations cannot be a correct equation for finding x? (Hint:Solve the equations and consider the solutions.) A. 5x+3 =11 B.12x+6 =-4 C.100x =50(x+3) D. 6(x+4) =x+24308views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 3/(x+1) = 5/(x−1)262views
Textbook QuestionIn Exercises 1–26, solve and check each linear equation. 11x - (6x - 5) = 40438views
Textbook QuestionDecide whether each statement is true or false. The equation 5x=4x is an example of a contradiction.428views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. (x−6)/(x+5) = (x−3)/(x+1)258views
Textbook QuestionIn Exercises 1–14, simplify the expression or solve the equation, whichever is appropriate. 3x/4 - x/3 + 1 = 4x/5 - 3/20258views
Textbook QuestionIn Exercises 1–14, simplify the expression or solve the equation, whichever is appropriate. 4x-2(1-x)=3(2x+1)-5258views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 1 − 4/(x+7) = 5/(x+7)239views
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x-5 = 7322views
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7(x-4) = x + 2318views
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2(x-4)+3(x+5)=2x-2325views
Textbook QuestionIn Exercises 1–26, solve and check each linear equation. 2(x - 1) + 3 = x - 3(x + 1)345views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 6/x − x/3 = 1265views
Textbook QuestionIn Exercises 1–26, solve and check each linear equation. 2 - (7x + 5) = 13 - 3x259views
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 13 = 2(2x-5) + 3x + 23327views
Textbook QuestionIn Exercises 1–26, solve and check each linear equation. 16 = 3(x - 1) - (x - 7)307views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 1/x−1 + 1/x+1 = 2/x²−1226views
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. (3x+1)/3 - 13/2 = (1-x)/4378views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/3 = x/2 - 2329views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. 20 - x/3 = x/2290views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/5 - 1/2 = x/6357views1rank
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 2/(x+3) − 5/(x+1) = (3x+5)/(x²+4x+3)260views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. 3x/5 = 2x/3 + 1279views
Textbook QuestionDetermine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 1/2(6x+20) = x+4 +2(x+3)1210views
Textbook QuestionIn Exercises 1–34, solve each rational equation. If an equation has no solution, so state. 3y/(y²+5y+6) + 2/(y²+y−2) = 5y/(y²+2y−3)266views
Textbook QuestionDetermine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 2(x-8) = 3x-16848views1comments
Textbook QuestionIn Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 3-5(2x + 1) - 2(x-4) = 0599views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. (x + 3)/6 = 3/8 + (x - 5)/4374views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. 5 + (x - 2)/3 = (x + 3)/8287views
Textbook QuestionDetermine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. -0.6(x-5)+0.8(x-6) = 0.2x - 1.8456views
Textbook QuestionSolve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. I=Prt,for P (simple interest)346views
Textbook QuestionExercises 27–40 contain linear equations with constants in denominators. Solve each equation. 3x/5 - (x - 3)/2 = (x + 2)/3298views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 4/x = 5/2x + 3337views
Textbook QuestionSolve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. P=2l+2w,for w (perimeter of a rectangle)263views
Textbook QuestionSolve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. F = GMm/r², for m (force of gravity)310views
Textbook QuestionSolve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. s = 1/2gt², for g (distance traveled by a falling object)285views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 5/2x - 8/9 = 1/18 - 1/3x488views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. (x - 2)/2x + 1 = (x + 1)/x1041views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 1/(x - 1) + 5 = 11/(x - 1)624views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 3/(x + 4) - 7 = - 4/(x + 4)328views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 3/(2x - 2) + 1/2 = 2/(x - 1)443views
Textbook QuestionExercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 3/(x + 2) + 2/(x - 2) = 8/(x + 2)(x - 2)494views
Textbook QuestionIn Exercises 61–66, find all values of x satisfying the given conditions. y1 = 5(2x - 8) - 2, y2 = 5(x - 3) + 3, and y1 = y2.540views
Textbook QuestionIn Exercises 61–66, find all values of x satisfying the given conditions. y1 = (x - 3)/5, y2 = (x - 5)/4, and y1 - y2 = 1.283views
Textbook QuestionIn Exercises 61–66, find all values of x satisfying the given conditions. y1 = (2x - 1)/(x^2 + 2x - 8), y2 = 2/(x + 4), y3 = 1/(x - 2), and y1 + y2 = y3.380views
Textbook QuestionIn Exercises 67–70, find all values of x such that y = 0. y = 2[3x - (4x - 6)] - 5(x - 6)863views
Textbook QuestionIn Exercises 67–70, find all values of x such that y = 0. y = (x + 6)/(3x - 12) - 5/(x - 4) - 2/3432views
Textbook QuestionIn Exercises 67–70, find all values of x such that y = 0. y = 1/(5x + 5) - 3/(x + 1) + 7/5358views
Textbook QuestionIn Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 4x + 7 = 7(x + 1) - 3x563views
Textbook QuestionIn Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 4(x + 5) = 21 + 4x369views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Simplify: √18 - √8315views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Rationalize the denominator: (7 + 4√2)/(2 - 5√2).332views
Textbook QuestionIn Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 10x + 3 = 8x + 3274views
Textbook QuestionIn Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 7 = 2x + 7255views
Textbook QuestionThe equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 4/(x - 2) + 3/(x + 5) = 7/(x + 5)(x - 2)379views
Textbook QuestionThe equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 4x/(x + 3) - 12/(x - 3) = (4x^2 + 36)/(x^2 - 9)312views
Textbook QuestionThe equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 4/(x^2 + 3x - 10) - 1/(x^2 + x - 6) = 3/(x^2 - x - 12)256views
Textbook QuestionRetaining the Concepts. Solve and determine whether 8(x - 3) + 4 = 8x - 21 is an identity, a conditional equation, or an inconsistent equation.273views
Textbook QuestionEvaluate x^2 - x for the value of x satisfying 4(x - 2) + 2 = 4x - 2(2 - x).531views
Textbook QuestionIn Exercises 99–106, solve each equation. 5 - 12x = 8 - 7x - [6 ÷ 3(2 + 5^3) + 5x]327views
Textbook QuestionIn Exercises 99–106, solve each equation. 4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)243views
Textbook QuestionAfter a 30% price reduction, you purchase a 50″ 4K UHD TV for $245. What was the television's price before the reduction?65views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = 2lw + 2lh + 2wh for h149views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = C/(1 - r) for r73views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? S = P + Prt for r109views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? E = mc^2 for m135views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? V = (1/3)Bh for B110views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? A = (1/2)bh for b147views
Textbook QuestionIn Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? D = RT for R134views
Textbook QuestionA job pays an annual salary of $57,900, which includes a holiday bonus of $1500. If paychecks are issued twice a month, what is the gross amount for each paycheck?100views
Textbook QuestionFor an international telephone call, a telephone company charges $0.43 for the first minute, $0.32 for each additional minute, and a $2.10 service charge. If the cost of a call is $5.73, how long did the person talk?107views
Textbook QuestionA repair bill on a sailboat came to $2356, including $826 for parts and the remainder for labor. If the cost of labor is $90 per hour, how many hours of labor did it take to repair the sailboat?110views
Textbook QuestionAn automobile repair shop charged a customer $1182, listing $357 for parts and the remainder for labor. If the cost of labor is $75 per hour, how many hours of labor did it take to repair the car?173views
Textbook QuestionThe length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?194views
Textbook QuestionThe length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the court's perimeter is 228 feet, what are the court's dimensions?171views
Textbook QuestionA rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards, what are its dimensions?145views
Textbook QuestionA rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?198views
Textbook QuestionExercises 19–20 involve markup, the amount added to the dealer's cost of an item to arrive at the selling price of that item. The selling price of a refrigerator is $1198. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refrigerator?150views
Textbook QuestionIncluding a 17.4% hotel tax, your room in Chicago cost $287.63 per night. Find the nightly cost before the tax was added.115views
Textbook QuestionIncluding a 10.5% hotel tax, your room in San Diego cost $216.58 per night. Find the nightly cost before the tax was added.185views
Textbook QuestionAfter a 20% reduction, you purchase a television for $336. What was the television's price before the reduction?307views
Textbook QuestionAn electronic pass for a toll road costs $30. The toll is normally $5.00 but is reduced by 30% for people who have purchased the electronic pass. Determine the number of times the road must be used so that the total cost without the pass is the same as the total cost with the pass.102views
Textbook QuestionYou are choosing between two gyms. One gym offers membership for a fee of $40 plus a monthly fee of $25. The other offers membership for a fee of $15 plus a monthly fee of $30. After how many months will the total cost at each gym be the same? What will be the total cost for each gym?145views
Textbook QuestionExercises 141–143 will help you prepare for the material covered in the next section. If the width of a rectangle is represented by x and the length is represented by x + 200, write a simplified algebraic expression that models the rectangle's perimeter.96views
Textbook QuestionIn Exercises 45–47, solve each formula for the specified variable. T = (A-P)/Pr for P93views
Textbook QuestionIn Exercises 45–47, solve each formula for the specified variable. vt + gt^2 = s for g103views
Textbook QuestionIn Exercises 36–43, use the five-step strategy for solving word problems. The length of a rectangular field is 6 yards less than triple the width. If the perimeter of the field is 340 yards, what are its dimensions?152views
Textbook QuestionIn Exercises 36–43, use the five-step strategy for solving word problems. An apartment complex has offered you a move-in special of 30% off the first month's rent. If you pay $945 for the first month, what should you expect to pay for the second month when you must pay full price?122views
Textbook QuestionWork each problem. Elmer borrowed $3150 from his brother Julio to pay for books and tuition. He agreed to repay Julio in 6 months with simple annual interest at 4%. (a)How much will the interest amount to?76views
Textbook QuestionWork each problem. Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%. (a)How much must she pay the bank in 18 months?80views
Textbook QuestionSolve each problem. How long will it take a car to travel 400 mi at an average rate of 50 mph?71views
Textbook QuestionSolve each problem. If a train travels at 80 mph for 15 min, what is the distance traveled?63views
Textbook QuestionSolve each problem. If a person invests $500 at 2% simple interest for 4 yr, how much interest is earned?75views
Textbook QuestionSolve each problem. If 120 L of an acid solution is 75% acid, how much pure acid is there in the mixture?64views
Textbook QuestionSolve each problem. Which one or more of the following cannot be a correct equation to solve a geometry problem, if x represents the length of a rectangle? (Hint: Solve each equation and consider the solution.) A. 2x+2(x- ) = 14 B. -2x+7(5-x) = 52 C. 5(x+2)+5x = 10 D. 2x+2(x-3) = 2279views
Textbook QuestionSolve each problem. See Example 1. Michael must build a rectangular storage shed. He wants the length to be 6 ft greater than the width, and the perimeter will be 44 ft. Find the length and the width of the shed.74views
Textbook QuestionSolve each problem. See Example 1. The length of a rectangular label is 2.5 cm less than twice the width. The perimeter is 40.6 cm. Find the width. (Side lengths in the figure are in centimeters.)80views
Textbook QuestionSolve each problem. See Example 1. The perimeter of a triangular plot of land is 2400 ft.The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot.78views
Textbook QuestionSolve each problem. See Example 2. Elwyn averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities to the nearest ten miles if his total traveling time was 32 hr?81views
Textbook QuestionSolve each problem. See Example 4. In planning her retirement, Kaya deposits some money at 2.5% interest, and twice as much money at 3%. Find the amount deposited at each rate if the total annual interest income is $850.68views
Textbook QuestionSolve each problem. See Example 4. Zhu inherited $200,000 from her grandmother. She first gave 30% to her favorite charity. She invested some of the rest at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate?75views
Textbook QuestionSolve each problem. See Examples 5 and 6. Formaldehyde is an indoor air pollutant formerly found in plywood, foam insulation, and carpeting. When concentrations in the air reach 33 micrograms per cubic foot (μg/ft^3), eye irritation can occur. One square foot of new plywood could emit 140 μg per hr. (Data from A. Hines, Indoor Air Quality & Control.) A room has 100 ft^2 of new plywood flooring. Find a linear equation F that computes the amount of formaldehyde, in micrograms, emitted in x hours.82views
Textbook QuestionSolve each problem. See Examples 5 and 6. Formaldehyde is an indoor air pollutant formerly found in plywood, foam insulation, and carpeting. When concentrations in the air reach 33 micrograms per cubic foot (μg/ft^3), eye irritation can occur. One square foot of new plywood could emit 140 μg per hr. (Data from A. Hines, Indoor Air Quality & Control.) The room contains 800 ft^3 of air and has no ventilation. Determine how long it would take for concentrations to reach 33 μg/ft^3. (Round to the nearest tenth.)75views
Textbook QuestionSolve each problem. Dimensions of a Square. If the length of each side of a square is decreased by 4 in., the perimeter of the new square is 10 in. more than half the perimeter of the original square. What are the dimensions of the original square?73views
Textbook QuestionSolve each problem. Speed of a PlaneMary Lynn left by plane to visit her mother in Louisiana, 420 km away. Fifteen minutes later, her mother left to meet her at the airport. She drove the 20 km to the airport at 40 km per hr, arriving just as the plane taxied in. What was the speed of the plane?88views
Textbook QuestionSolve each problem. (Modeling) Lead IntakeAs directed by the 'Safe Drinking Water Act' of December 1974, the EPA proposed a maximum lead level in public drinking water of 0.05 mg per liter. This standard assumed an individual consumption of two liters of water per day. (a)If EPA guidelines are followed, write an equation that models the maximum amount of lead A ingested in x years. Assume that there are 365.25 days in a year.72views
Textbook QuestionSolve each problem. (Modeling) Online Retail SalesProjected retail e-commerce sales (in billions of dollars) for the years 2016–2022 can be modeled by the equation y=52.304x+396.80, where x=0 corresponds to 2016, x=1 corresponds to 2017, and so on. Based on this model, find projected retail e-commerce sales in 2022 to the nearest tenth of a billion. (Data from www.statista.com)65views
Textbook QuestionIn the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 20°C59views
Textbook QuestionIn the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 50°F57views
Textbook QuestionWork each problem. Round to the nearest tenth of a degree if necessary. Temperature of VenusVenus is the hottest planet, with a surface temperature of 867°F. What is this temperature in degrees Celsius? (Data from The World Almanac and Book of Facts.)48views
Textbook QuestionWork each problem. Round to the nearest tenth of a degree if necessary. Temperature in South CarolinaA record high temperature of 113°F was recorded for the state of South Carolina on June 29, 2012. What is the corresponding Celsius temperature? (Data from U.S. National Oceanic and Atmospheric Administration.)45views
Textbook QuestionIn the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 100°F50views
Textbook QuestionSolve each problem. See Example 2. Two planes leave Los Angeles at the same time. One heads south to San Diego, while the other heads north to San Francisco. The San Diego plane flies 50 mph slower than the San Francisco plane. In 1/2 hr, the planes are 275 mi apart. What are their speeds?50views
Textbook QuestionSolve each problem. See Example 2. In the Apple Hill Fun Run, Mary runs at 7 mph, Janet at 5 mph. If they start at the same time, how long will it be before they are 1.5 mi apart?55views
Textbook QuestionSolve each problem. See Example 2. At the 2008 Summer Olympics in Beijing, Usain Bolt set a new Olympic and world record in the 100-m dash with a time of 9.69 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be? How would this time compare to the fastest time for a marathon, which is 2 hr, 3 min, 23 sec, set in 2013? (Hint: 1 m ≈ 3.281 ft.) (Data from Sports Illustrated Almanac.)46views
Textbook QuestionSolve each problem. See Example 2. Callie took 20 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 5 km per hr, what was her boat speed?57views
Textbook QuestionSolve each problem. See Example 3. How many gallons of a 5% acid solution must be mixed with 5 gal of a 10% solution to obtain a 7% solution?44views
Textbook QuestionSolve each problem. See Example 3. Aryan wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of the 10% mixture?44views
Textbook QuestionSolve each problem. See Example 3. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?42views
Textbook QuestionSolve each problem. See Example 4. Cody sells some property for $240,000. The money will be paid off in two ways: a short-term note at 2% interest and a long-term note at 2.5%. Find the amount of each note if the total annual interest paid is $5500.58views
Textbook QuestionAfter a 20% reduction, a 42-inch HDTV sold for $256. What was the price before the reduction?44views
Textbook QuestionIn Exercises 137–140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation |x| = - 6 is equivalent to x = 6 or x = - 6.104views
Textbook QuestionIn Exercises 91–100, find all values of x satisfying the given conditions. y = |2 - 3x| and y = 13169views
Textbook QuestionThe rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars: If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84. |4x - 3| = |4x - 5|158views
Textbook QuestionThe rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars: If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84. |3x - 1| = |x + 5|124views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| + 3 = 3164views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x + 1| + 5 = 3198views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|4 - (5/2)x| + 6 = 18166views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 7|5x| + 2 = 16176views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|3x - 2| = 14147views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| = 5156views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x - 2| = 7157views
Textbook QuestionIn Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |x| = 891views
Textbook QuestionSolve each radical equation in Exercises 11–30. Check all proposed solutions. √(x + 8) - √(x - 4) = 289views
Textbook QuestionSolve each equation in Exercises 96–102 by the method of your choice. -4|x+1| + 12 = 093views
Textbook QuestionSolve the equations containing absolute value in Exercises 94–95. |2x+1| = 7116views
Textbook QuestionMatch each equation in Column I with the correct first step for solving it in Column II. √(x+5) = 798views1rank