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5. You are taking a math quiz and need to complete at least 10 Geometry problems
and Algebra problems within 120 minutes. It will take you 15 minutes for each
Geometry problem and 10 minutes for each Algebra problem. Which system of
inequalities can be used to determine the amount of a, Algebra problems, and g,
Geometry problems you can complete.

Respuesta :

desarai21

Answer: 15g+10a(less than or equal to <) 120

2g+3a<10

akposevictor

The system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

We can translate the given situation into inequalities to get the system of inequalities that we can use to find the amount of algebra and geometry problems that can be completed.

  • Thus:

a = amount of algebra problems

g = amount of geometry problems

  • Therefore, the inequality that at least 10 geometry and algebra problems will be:

[tex]a + g \geq 10[/tex]

Thus:

15 minutes for each geometric problem = 15g

10 minutes for each algebra problem = 10a

  • If all is intended to be taken within 120 minutes, therefore, the inequality that represents this will be:

[tex]10a + 15g \leq 120[/tex]

Therefore, the system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

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https://brainly.com/question/9774970

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