Because has 2017 numbers =>  (-1) . (-2) . (-3) . ... . (-2017) > 0

The answer is : 

480 . 600 = 288000 (minutes)

So 288000 minutes = 4800 hours

The answer is : 180⁰

The answer is: 979 + (\(\dfrac{1}{11}\) . 979) = 1068 (cubic centimeters)

There are :

(200 - 1) + 1 = 200 (numbers)

So the sum is :

200 .(200 + 1) : 2 = 20100

The answer is : 20100

We have : 450 = 2 x 3² x 5²

So, 3, 2.3, ..., 2.3².5²

Thier product is : 3¹⁸ . 2⁶ . 5¹²

The answer is : 

24 x 1 = 24 (times) 

We have:

(100 - 1) : 1 + 1 = 100 (numbers)

=> (100 + 1) x 100 : 2 = 5050

Answer : 5050

\(\dfrac{8^x}{2^y}\)= \(\dfrac{2^{3x}}{2^y}\) = 2^{3x - y} = 2¹² = 4096

Answer : 4096

We have :  6x6 , 36x6 , ...

So the result is 6

We have:

\(\dfrac{x}{5}\) = \(\dfrac{y}{2}\) = \(\dfrac{z}{3}\) = \(\dfrac{2x-3y+5z}{10-6+15}\) = \(\dfrac{38}{19}\) = \(2\)

\(\dfrac{x}{5}\) = \(2 => x = 10 \)

\(\dfrac{y}{2}\) = \(2 => y = 4\)

\(\dfrac{z}{3}\) = \(2 => z = 6\)

x . 10 + 20 . x + 40 : 2 = 80

x . (10 + 20) + 20 = 80

x . 30 + 20 = 80

x . 30 = 80 - 20

x . 30 = 60

x = 60 : 30

x = 2

x . 5 + 20 . x + 40 : 2 = 70

x . (5 + 20) + 20 = 70

x . 25 + 20 = 70

x . 25 = 70 - 20

x . 25 = 50

x = 50 : 25

x = 2

We have:

\(\dfrac{x}{3}\) = \(\dfrac{y}{4}\) = \(\dfrac{x+y}{3+4}\) = \(\dfrac{14}{7}\) = \(2 \)

\(\dfrac{x}{3}\) \(= 2 => x = 6\) 

\(\dfrac{y}{4}\) \(= 2 => y = 8\)

We have:

\(\dfrac{x}{3}\) = \(\dfrac{y}{5}\) = \(\dfrac{y-x}{5-3}\) = \(\dfrac{20}{2}\) = 10

\(\dfrac{y}{5}\) = 10 => y = 50

\(\dfrac{x}{3}\) = 10 => x = 30

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The area of the rectangle is:

2 x 7 = 14(cm²)

Answer: 14 cm²

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Let n be the of edges of the polygon and (n ∈ N, n > 2)

We have :

180 . (n - 2) = 1260 <=> n - 2 = 7 => n = 9

Answer: 9 sides
 

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