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Phantasy [73]
3 years ago
10

A small country is made up of two islands: a big island and a small island. There are currently 530,000 people living on the two

islands. Each year, 3% of the people on the big island move to the small one, and 7% of the people on the small island move to the big one. Assuming the population of the country remains at 530,000, how many people will eventually live on the big island?
Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

  371,000

Step-by-step explanation:

The population will stabilize at a level that has the same number moving in each direction each year. If "b" and "s" represent the numbers of people on the "big" and "small" islands, respectively, we want ...

  b + s = 530,000

  .03b = .07s

From the second equation, ...

  s = (3/7)b . . . . . divide the above equation by .07 and simplify

Substituting this into the first equation, we get ...

  b + (3/7)b = 530,000

  (10/7)b = 530,000 . . . . collect terms

  b = (7/10)(530,000) = 371,000 . . . . . . divide by the coefficient of b

The big island population will stabilize at 371,000 people.

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Which value from the set {1/2, 2/3, 4/3, 5/2} is a value of x that will the equation 3/4 ÷ × = 9/8 true?
Vitek1552 [10]

Answer:

2/3

Step-by-step explanation:

To find out what x is in this case, divide 3/4 by 9/8.

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3/4 * 8/9

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We can remove the 1/1.

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2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.

6 0
3 years ago
(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course.
Aneli [31]

Answer:

Smallest: 15,840 ft

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Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the <u>smallest</u>:

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Do butterfly method and you should get this:

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Butterfly method:

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4 0
3 years ago
A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the later
andrew-mc [135]
Given that length = 14 cm, width = 7 cm, and height(which was not mentioned in the question) is 1.66 cm, we are tasked to f<span>ind the lateral area and the surface area of the box. 
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L = 2(1.66)(14) + 2(1.66)(7)
=46.48 + 23.34
=69.72 </span><span> ≈ 70 cm^2
</span>To find the surface area, 
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The answers are <span>70cm^2 and 266cm^2.</span>

6 0
3 years ago
Read 2 more answers
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= 5.45 × 1.5/0.025
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Answer= 327

Hope this helps! :)
3 0
3 years ago
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