The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.
The student cannot work more than 20 hours each week.
x + y < 20 ...1
15x + 25y > 375 ...2
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
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Based on the graph given, the option that will show the same amplitude as function m is graph D.
<h3>Which graphed function is this about?</h3>
The cosine function is seen as:
f(x) = A*cos(kx) + M
And the functions are:
- A stands for amplitude,
- k is angular frequency,
- M is the midline.
When the function is m(x) = -2*cos(x+π).
The absolute value of the amplitude will be 2*|-2| = 4
Therefore, the option that can have the requirement above is graph D.
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The answer is e none of the above
Answer:48
Step-by-step explanation:
Total number of students=397
Students that travelled in a car=29
Let the students that travelled in a bus be represented by y.
Since 8 buses were filled, it will be 8y for total students
8y + 29= 397
8y= 397-29
8y= 368
Divide both side by 8
8y/8=368/8
y = 46
Number of students in each bus is 46
