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madreJ [45]
2 years ago
6

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d

ecrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after
years.
Mathematics
1 answer:
telo118 [61]2 years ago
4 0

Answer:

3 years

Step-by-step explanation:

Let y = number of orangutans, and let x = number of years.

For each study, the population, y, after x years is:

First study:

y = 784 - 25x

Second study:

y = 817 - 36x

We set the populations equal and solve for x, the number of years.

784 - 25x = 817 - 36x

Add 36x to both sides. Subtract 784 from both sides.

11x = 33

Divide both sides by 11.

x = 3

Answer: 3 years

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Answer:

Associative Property

Step-by-step explanation:

3 0
2 years ago
a square measuring 9 inches by 9 inches is cut from the corners of a square measuring 15 inches by 15 inches what is the area of
ss7ja [257]

Answer:

144 in²

Step-by-step explanation:

Find the area of the larger square, then subtract the area of the square we cut out.

The larger square has side length of 15, so it has an area of 15² = 225 in²

The smaller square has side length of 9, so it has an area of 9² = 81 in²

The area left over is

225 - 81 = 144 in²

3 0
3 years ago
Ok so this is so confusing The volume of water in a rectangular swimming pool can be modeled by the polynomial 2x3 _ 9x2 + 7x +
Alika [10]
The volume formula is V= l x L x H, l=width, L=Length, H= Depth, so 
2x3 _ 9x2 + 7x + 6 = l x L x (2x + 1), because H=(2x + 1), so 
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case1: l= (2x3 _ 9x2 + 7x + 6 ) or L= 1/(2x + 1), case2: L= (2x3 _ 9x2 + 7x + 6 ) or l= 1/(2x + 1)
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6 0
3 years ago
Knife is 3 times cost of spoon<br> 9 spoons and 12 knifes is £82.80<br> what is 1 knife
xenn [34]

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

3 0
2 years ago
Functions 1 and 2 are shown:
My name is Ann [436]

Answer:

B

Step-by-step explanation:

Function 2 has a larger maximum.

5 0
3 years ago
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