Answer:
<u>15 students</u> purchase their lunches in the cafeteria.
Step-by-step explanation:
Given:
At eastwood middle school, 25% of the 60 students Mrs. Wade teaches buy their lunches in the cafeteria.
Now, to find the students purchase their lunches in the cafeteria.
Total students = 60.
Percent of students who buy lunches = 25%.
So, to get the number of students who buy their lunches in the cafeteria:
<u><em>25% of 60.</em></u>
Therefore, 15 students purchase their lunches in the cafeteria.
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Step-by-step explanation:
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Answer:
17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.
The length of the garden is 4.3 m while the width is 4.3 m
Let x represent the length of the garden. Therefore:
The area of the garden = x × x = x²
The width of the walkaway is 1.8 m, hence the length of the garden and walkaway = x + 1.8. The width of the garden and walkaway = x + 1.8.
Hence the area of the garden and walkaway = (x + 1.8) × (x + 1.8) = x² + 3.6x + 3.24
The area of walkaway = (x² + 3.6x + 3.24) - x² = 3.6x + 3.24
Since the area of the walkway is equal to the area of the garden, hence:
3.6x + 3.24 = x²
x² -3.6x - 3.24 = 0
x= 4.34 m or -0.74 m
Since the length cannot be negative, hence x = 4.3 m
Therefore the garden is 4.3 m by 4.3 m
Find out more at: brainly.com/question/2077866
Answer:
directrix: y = -1/2; focus = (0,1/2)
Step-by-step explanation:
rewrite in standard form:
2y = x^2
factor 4
4 * (y/2) = x^2
rewrite as
4 * 1/2 ( y - 0 ) = (x - 0 )^2
therefore
(h,k) = (0,0) , p = 1/2
directrix is line || to x-axis, distance - p from the center (0,0) y-coordinate (of the parabola)
y = 0 - p
y = 0 - 1/2
y = -1/2
now for the focus!
the focus is distance p from center (0,0) along y-axis --> (0, 0+p)
therefore
(0,0+1/2)
(0,1/2) is the focus!
