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saul85 [17]
3 years ago
14

N is a positive integer explain why n(n-1) must be an even number

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

if 'n' is positive and odd then reducing it by one gives you an even; so then you are multiplying and even and an odd which results in an even

if 'n' is positive and even then reducing it by one gives you an odd; so then you are multiplying and even and an odd which results in an even

Step-by-step explanation:

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Hey 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats so for $20 eac
STatiana [176]
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
3 0
4 years ago
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Talja [164]
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8 0
3 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
wel

Answer:

9.3 + b = 14.5

Step-by-step explanation:

Longest side of ∆ = 2a = 6.2 cm

If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is

The sum of the 3 sides = perimeter = 14.5 cm

Thus,

a + 2a + b = 14.5 cm

Plug in the values of a and b

3.1 + 6.2 + b = 14.5

The equation that can be used to find the side lengths is 9.3 + b = 14.5

7 0
4 years ago
Jade used 3/4
Mashcka [7]

Answer:

Yes she can

Step-by-step explanation:

3/4 = 0.75

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6 0
3 years ago
12 = 3 (g - 1)<br> Options are:<br> 5<br> 3<br> -5<br> -3
grin007 [14]
The answer would be -3 because you distribute
6 0
3 years ago
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