3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
1 wolverine. a.if there were 6 lynx, how many wolverine would be in the park?
b.If there were 15 mountain lion,how many lynx would be in the park?
c.if there were 10 wolverine in the park, how many mountain
lions?
d.if the total number of lynx, mountain lions and wolverine was 30, how many of each animal would there be in the park?
__lynx,__mountain lion,__wolverine
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! :)
The fraction of wood used for horizontal support is .
Step-by-step explanation:
Assume that the total piece of wood is of length 1.
It is provided that Talia used of the piece of wood for the base of he project.
She use of the piece of wood for the for the vertical support.
The remaining wood she used for horizontal support.
The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.
Compute the amount of wood used for horizontal support as follows:
Thus, the fraction of wood used for horizontal support is .
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
For this question you just need to find the least common multiple of 18 and 30. That can be found by first finding the prime factorization of each number. 18 = 2 * 3 * 3 and 30 = 2 * 3 * 5. Then you multiply the 2 * 3 * 3 * 5, you ignore the 3 from 30 because 18 has more 3s. The answer is 90.
