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! :)
So this is read as 23 degrees, 20 minutes, and 48 seconds. Each degree has 60 minutes and each minute has 60 seconds, somewhat like time. You must start from right to left for this to work. This may seem complicated but the way to find this is as follows: 23+(20+(48/60))/60. A simpler way to see this is by first taking 48/60 which is .8. Now you take 20+.8 which is 20.8 and you divide it by 60 once more. This comes out to be approximately .35. Now you have converted the seconds and minutes to degrees so you add 23+.35 which is 23.35. Therefore your answer is 23.35 degrees.
The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281.
<h3>What echo number is a perfect square</h3>
An <em>echo</em> number has a <em>perfect</em> square if its square root is also a <em>natural</em> number. After some iterations we found that <em>echo</em> number 20222022202220222022 is a <em>perfect</em> square:
The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281.
