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Linear Inequalities

Math · Algebra · 47 questions · every one comes with a full explanation.

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  1. 1Adam's school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w, that Adam waits for the bus varies bHard · Algebra
  2. 2A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.3Hard · Algebra
  3. 3A local transit company sells a monthly pass for $95 that allows an unlimited number of trips of any length. Tickets for individual trips cost $1.50, $2.50, or $3.50, depending on Hard · Algebra
  4. 4y≤x+7 y≥-2x-1 Which point x,y is a solution to the given system of inequalities in the xy-plane?Hard · Algebra
  5. 5A salesperson's total earnings consist of a base salary of x dollars per year, plus commission earnings of 11 % of the total sales the salesperson makes during the year. This yearHard · Algebra
  6. 6A number x is at most 2 less than 3 times the value of y . If the value of y is -4 , what is the greatest possible value of x ?Hard · Algebra
  7. 7A small business owner budgets $2,200 to purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays $4.90 per candle Hard · Algebra
  8. 8A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented wHard · Algebra
  9. 9The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. If a triangle has side lengths of 6 and 12 , Hard · Algebra
  10. 10The formula above is Ohm's law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohHard · Algebra
  11. 11y<6x+2 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?Hard · Algebra
  12. 12y>13x-18 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?Hard · Algebra
  13. 13A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum oHard · Algebra
  14. 14A business owner plans to purchase the same model of chair for each of the 81 employees. The total budget to spend on these chairs is $14,000 , which includes a 7 % sales tax. WhiHard · Algebra
  15. 15Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salHard · Algebra
  16. 16Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?Hard · Algebra