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umka2103 [35]
3 years ago
11

Order the fractions from least to greatest, 2/3, 2/9, 5/6, 11/18.

Mathematics
2 answers:
allochka39001 [22]3 years ago
5 0

-Order From Least To Greatest-

2/9  <  11/18  <  2/3  <  5/6

First, find the least common denominator. In this case, our least common denominator is 18 so we are going to rewrite our fractions with the lowest common denominator.

-Order From Least To Greatest Using Lowest Common Denominator-

4/18 < 11/18 < 12/18 < 15/18

We can now rewrite this using our original fractions and they are in order from least to greatest.

2/9  <  11/18  <  2/3  <  5/6

Goshia [24]3 years ago
4 0
I find it easier to put them in decimal form then to try and find a common denominator

2/3 = 0.666
2/9 = 0.222
5/6 = 0.833
11/18 = 0.611

least to greatest = 2/9, 11/18, 2/3, 5/6
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Derek is planning on covering an entire drum in leather. The diameter of the drum is 10 inches, and the height of the drum is 16
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Answer: 694.4 in^2

Step-by-step explanation:

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
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