Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
Answer:
The number of enrollments increased by 5%.
Step-by-step explanation:
Given that:
Number of students at the beginning of the year = 480
Number of students at the end of the year = 504
Change = 504 - 480 = 24
This indicates increase.
Percent of change = 
Percent of change = 
Percent of change = 5%
Hence,
The number of enrollments increased by 5%.
Answer:
If the units in the equation are in feet, it lef5t at a height of 7.4 feet (or meters, etc.).
Step-by-step explanation:
p(x) = - 0.013x2 + 0.02x + 7.4
When x, the time, = 0 [just before it leaves the pitcher's hand]
p(0) = 7.4
When any angle bisects with other angle then both the angles are equal.
Then, m of angle ABD = angle CBD
ABD = 70
ABD = CBD = 70°
ABC = 70 + 70 = 140°
Answer:
Step-by-step explanation:
The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.