There will be 450 students that will buy lunch today.
Fraction of students that'll buy lunch = 5/8.
Number of students in the school = 720
Number of students that'll buy lunch will now be = 5/8 × 720 = 450
Therefore, 450 students will buy lunch today.
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For the given quadratic equation we only have a maximum at y = 18.
<h3>
How to find the extrema of the given function?</h3>
Here we have:

Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:

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Answer:
Where's the question or picture?
Step-by-step explanation:
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
The value of x, which is the length of ST in the given similar polygons is: 2.4.
<h3>What are Similar Shapes?</h3>
If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.
Thus, since both pentagons are similar, we would have:
CB/RQ = DE/ST
Plug in the values
5/6 = 2/x
Cross multiply
x = (6 × 2)/5
x = 12/5
x = 2.4
Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.
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