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Lena [83]
2 years ago
10

Three consecutive even numbers have a sum where one half of the sum is between 84 and 96

Mathematics
1 answer:
mamaluj [8]2 years ago
6 0

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84


56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93


62 +64+66 = 192

192/2 = 96


 there are 3 sets of numbers that fall between 84 & 96

 1 set equals 84 and 1 set equals 96

 so if you are counting those there are 5 sets

 

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Find the slope of the line containing the pair points (9,5) (6,4)
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Write the set of real numbers x less than 6 in set builder notation
maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

  • x is a real number
  • x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0
2 years ago
Not sure how I would solve this
suter [353]
<h3>Answers:</h3>

The first ordered pair is   ( -4 , -3 )

The second ordered pair is   ( 8, 3 )

=================================================

Explanation:

The first point is (x,-3) where x is unknown. It pairs up with y = -3 so we can use algebra to find x

x-2y = 2

x-2(-3) = 2 ... replace every y with -3; isolate x

x+6 = 2

x = 2-6

x = -4

The first point is (-4, -3)

---------------------------

We'll do something similar for the other point. This time we know x but don't know y. Plug x = 8 into the equation and solve for y

x-2y = 2

8-2y = 2

-2y = 2-8

-2y = -6

y = -6/(-2)

y = 3

The second point is (8, 3)

4 0
3 years ago
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