Solving Systems of Linear Inequalities Answers

Which are possible solutions for the number of minutes Joshua can participate in each activity? Check all that apply.

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Which amounts of materials satisfy the relationship?

In which section of the graph does the actual solution lie?

Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. Which system of linear inequalities can be used to find the possible ages of Anna, a, and Jamie, j?

School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x represent teachers and y represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school?

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 andx + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.The line 20x + 25y ≥ 200 has a positive slope and a negative y-intercept.The line x + y < 10 has a negative slope and a positive y-intercept.The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.The line representing x + y < 10 is dashed and the graph is shaded above the line.The overlapping region contains the point (4, 5).

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00. If the collection contains 25 quarters, how many nickels can be in the collection? Let x = the number of quarters. Let y = the number of nickels. There are at least nickels, but no more than nickels.

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10 each and short-sleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeved shirts that can be purchased? A minimum of long-sleeved shirts can be purchased. A maximum of long-sleeved shirts can be purchased.

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.