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Anton [14]
3 years ago
7

PLS HELP WILL MARK BRAINLIEST The average of eight consecutive odd integers is 48. What is the range of these eight numbers?

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

Step-by-step explanation:

2x - 7 + 2x - 5 + 2x - 3 + 2x - 1 + 2x + 3 + 2x + 5 + 2x + 7   Combine like terms

16x / 8  = 48

2x = 48

x = 24

The range is defined as the largest number - the smallest number

The range is between 2x - 7 and 2x + 7

x = 24

The smallest number is 48 - 7 = 41

The largest number is 48 + 7 = 55

The range = 55 - 41 = 14

Why was the 2 in front of the x needed? It was to make sure that I could create an odd number.

Why did I subtract an odd number? That was to make sure that I could create odd numbers.

Why did I start with 2x - 7 and end up 8 terms later at 2x + 7?

So the numbers would cancel and I'd only be left with x's.

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