Write a system of inequalities that represents how many pennies and nickels that Jada could have.[br]
[size=150]Is it possible that Jada has the following combination of coins? If so, explain or show how you know. If not, state which constraint—the amount of money or the number of coins—it does not meet.[/size][br][br]15 pennies and 5 nickels
[size=150]At the end of one training session, she has swum and biked more than 20 miles in total.[br][br][/size][br][table][tr][td][size=150]The inequality [math]2.4s+16.1b>20[/math] and this graph [br]represent the relationship between the hours of [br]swimming, [math]s[/math], the hours of biking, [math]h[/math], and the total [br]distance the athlete could have traveled in miles. 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[/img][/td][/tr][/table][br][br][size=150]Mai said, "I'm not sure the graph is right. For example, the point [math]\left(10,3\right)[/math] is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."[/size][br][br]Write an inequality to represent Mai's last statement. [br]
Determine a possible combination of swimming and biking times that meet both the distance and the time constraints in this situation.[br]
[size=150]Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items.[br][br][table][tr][td][size=150]This graph represents the inequality [math]3b+5n\le30[/math], which describes the cost constraint in this situation.[/size][br][br][br][size=150]Let [math]b[/math] represent the number of bracelets and [math]n[/math] the number of necklaces.[/size][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][/size][br]Write an inequality that represents the number of gift items that Elena needs.[br]
Use the graphs to find at least two possible combinations of bracelets and necklaces Elena could buy.[br]
Explain how the graphs show that the combination of 2 bracelets and 5 necklaces meet one constraint in the situation but not the other constraint.[br]
[size=150]His budget is $70. Topsoil costs $1.89 per cubic foot, and compost costs $4.59 per cubic foot.[/size][br][br]Select [b]all [/b]statements or representations that correctly describe the gardener's constraints in this situation. [br]Let [math]t[/math] represent the cubic feet of topsoil and [math]c[/math] the cubic feet of compost.
[math]y=-\frac{1}{2}x-7[/math].[br][br]Write an equation that has exactly one solution in common with Priya's equation.
Write an equation that has no solutions in common with Priya's equation.[br]
Write an equation that has infinitely many solutions in common with Priya's equation, but looks different than hers.
[img]data:image/png;base64,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[/img][br]Which region represents the solution to the system of the two inequalities?
[list][*]The sum of two numbers is less than 10.[/*][*]If we subtract the second number from the first, the difference is greater than 3.[/*][/list][br]Write a system of inequalities that represents this situation. [br]Let [math]f[/math] represent the first number and [math]s[/math] represent the second number.