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Westkost [7]
3 years ago
15

Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. I

t takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week. Which system of inequalities can be used to determine the number of drill-based workouts, x, and the number of conditioning workouts, y, that Gianna can complete this week?
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0
The whole number of minutes that Gianna complete each week as a function of x and y:
45x+30y
Since the above number is greater than 450 minutes, we get the inequality:
45x+30y\geq450
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
\\x+y\leq10
Therefore, the system of inequalities is the following:
45x+30y\geq450
\\x+y\leq10
The above system has many solutions, for example :
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a) Angle XBC = 55° because corresponding angles are equal.

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Step-by-step explanation:

The image of the complete question is attached to this solution.

a) Angle XBC = 55° because....

Line XY and BD are parallel.

A straight line, AB, crosses the two parallel lines, thereby making angles AXY and XBC corresponding angles because they occupy the same relative position at points where the straight line, AB, intersects the two lines XY and BD.

Since the two lines, XY and BD, are parallel, the corresponding angles related to them are said to be equal.

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