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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: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.

each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.

this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:

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7 0
3 years ago
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
katovenus [111]

Answer:

no

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The sum of x and 10 is less than -6​
goldenfox [79]
Try breaking these into sections.

Twice: 2 times

The sum of: add

A number: choose a variable, like x

---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"

-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"

Is: equals

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23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"

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Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
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3 years ago
Help me to solve this problem​
anyanavicka [17]

Here,

Volume of cylinder = 539^3 cm

Circumference = 22 cm

Height = ?

Now,

Circumference = 2πr

or, 22 = 2*22/7*r

or, 22 = 44/7*r

or, 154/44 = r

◆ r = 3.5 cm

Then,

Volume of cylinder = πr^2h

or, 539 = 22/7*(3.5)^2*h

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I hope it's help you...

I hope you understand...

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2 years ago
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