A. The ratio of lynx to mountain lions to wolverines is 2:3:1.
Thus, there are 2 lynx in the ratio. If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.
Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.
b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem. Thus, the multiplier is 5, because 15/3=5.
Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.
c. There is one wolverine in the ratio, but there are 10 wolverines in the problem. Thus, the multiplier is 10, because 10/1 = 10
Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.
d. The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x.
2x + 3x + 1x = 30
This equation means that the total number of animals together is 30, which is true. Now let's simplify by combining like terms.
6x = 30
Finally, we can simplify by dividing both sides by the coefficient of x, or 6.
x = 5
Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.
Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines
Hope this helps! :)
Answer:
−8+7c+11−3c
=−8+7c+11+−3c
Combine Like Terms:
=−8+7c+11+−3c
=(7c+−3c)+(−8+11)
=4c+3
Answer:
=4c+3
Step-by-step explanation:
Answer:−2x^3+8x^2−4x
Step-by-step explanation:
Equation:-2x(x2-4x+2)
=(−2x)(x^2+−4x+2)
=(−2x)(x^2)+(−2x)(−4x)+(−2x)(2)
=-2x^3+8x^2-4x
Answer:
The required slope is 4.
Step-by-step explanation:
P = kx where k is a constant and is the slope of the graph of the equation.
When x = 250, P = 1000 so
1000 = k * 250
k = 1000/250
= 4.
The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)
<h3>What is the solution set for inequality?</h3>
The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.
Given that:
By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:
Therefore, the parabola properties are:
- The solution set of the domain is (-∞, ∞)
- Vertex(h,k) = (1, -9)
- Focal length |p| = 1/4
Learn more about the solution set of inequality here:
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