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ozzi
3 years ago
11

What is 87+x=100? A. 13 B.41 C. 11 D. 20

Mathematics
2 answers:
Leto [7]3 years ago
8 0

Hey there!

When we solve for x, we need to isolate x on one side.

This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.

Starting with 87 + x = 100:

Subtract 87 from each side.

87 <u>- 87</u> + x = 100 <u>- 87</u>

Simplify. Subtracting 87 from 87 makes it equal to 0.

x = 13

Your answer is A. 13.

Hope this helps!

<u />

Gre4nikov [31]3 years ago
5 0

Hello!

The answer to the problem is A) 13

Move all terms containing x to the left, all other terms to the right.

<u>Add '-87' to each side of the equation</u>

<u></u>87 + -87 + x = 100 + -87<u></u>

<u></u>

<u>Combine like terms: 87 + -87 = 0</u>

<u></u>0 + x = 100 + -87<u></u>

<u></u>x = 100 + -87<u></u>

<u></u>

<u>Get your answer</u>

x=13

Hope This Helps!

<u></u>

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For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.
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Answer:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
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Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy

\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)

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a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy

\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy

Therefore:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0
3 years ago
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