Answer:
The prime number is 61
Step-by-step explanation:
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Answer:
Area = 200x - x², Max area is 10000m² with dimensions 100m × 100m
Step-by-step explanation:
Total fencing = perimeter
Let length of the sides be x and y,
2(x + y) = 400
x + y = 200
y = 200 - x
Area = x × y
= x(200 - x)
Area = 200x - x²
For max area, convert area into the completed square form
-(x² - 200x)
-(x² -2(x)(100) + 100² - 100²)
-[(x - 100)² - 10000]
-(x - 100)² + 10000
Max area is 10000 m²
Because the least value of (x - 100)² is 0.
That too when x = 100
When x = 100,
y = 200 - x = 200 - 100 = 100
Dimensions are 100m × 100m
1/2 9 goes into 18, 2 and 9 goes into 9 once.
The company picnic cost $ 1300 for 80 employees
<em><u>Solution:</u></em>
Given that cost of a company picnic varies directly as the number of employees attending the picnic
Let "c" be the company picnic cost
Let "n" be the number of employees attending the picnic
Therefore,


Where "k" is the constant of proportionality
c = kn ---------- eqn 1
<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>
Therefore substitute c = 487.50 and n = 30

<em><u>How much does a company picnic cost for 80 employees?</u></em>
Substitute n = 80 and k = 16.25 in eqn 1

Thus $ 1300 is the cost for 80 employees