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dlinn [17]
3 years ago
7

The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18  =  6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = <u>-6</u>

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3 years ago
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Neporo4naja [7]
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3 0
1 year ago
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that
Snezhnost [94]
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
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Hope this helps! :)
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3 years ago
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Korolek [52]

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5 0
3 years ago
What is 50 percent of 62?
stepan [7]

Answer:

31

Step-by-step explanation:

An entire amount is 100% of the amount.

50% is half of 100%, so 50% means the same as half.

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Answer: 31

6 0
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Read 2 more answers
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