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:
0
Step-by-step explanation:
-7+1+ -1 * -6
Using PEMDAS, we multiply and divide first
-1*-6 = 6
Then we add and subtract from left to right
-7+1+ 6
-6+6 =0
Answer:
25.98units³
Step-by-step explanation:
Area of the triangular prism = Base Area * Height of the pyramid
A = BH/3
Get the area of the triangle
Area of the triangle = 1/2 Base * height
Base of the triangle = 5
height = √5²-2.5²
h = √25-6.25
h = √18.75
h = 4.33
Area of the triangle = 1/2 * 4.33 * 5
Area of the triangle = 10.82
Base area = 10.82
Get the area of the triangular pyramid
Area of the triangular pyramid = 10.82*7.2/3
Area of the triangular pyramid = 25.98units³
Hence the area triangular pyramid is 25.98units³
Answer:
The bracelet will cost 85$ and it'll have 2 charms.
Step-by-step explanation:
In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:
Oak Grove:
total cost = 16*charm + 53
Sandoval:
total cost = 27*charm + 31
We then find the number of charm that'll make them equal, since the price has to be the same on both shops:
16*charm + 53 = 27*charm + 31
27*charm - 16*charm = 53 - 31
11*charm = 22
charm = 2
The cost of the bracellet is:
total cost = 27*2 + 31 = 85 $
Which means she ran 4160 miles long
if this isn't the answer you wanted, please be more precise
