Here is the answer I hope it helps
Answer: 60 devil offspring.
Step-by-step explanation:
The total number of devils in the Island is 80.
Out of this 80, 75% are offspring from the two previous breeding seasons.
This percentage in a whole number is what the question requires.
The number of offspring from previous seasons is:
= Percent of offspring from previous seasons * Total number of devils
= 75% * 80
= 60 devil offspring.
<span>Dawn was at 6 am.
Variables
a = distance from a to passing point
b = distance from b to passing point
c = speed of hiker 1
d = speed of hiker 2
x = number of hours prior to noon when dawn is
The first hiker travels for x hours to cover distance a, and the 2nd hiker then takes 9 hours to cover that same distance. This can be expressed as
a = cx = 9d
cx = 9d
x = 9d/c
The second hiker travels for x hours to cover distance b, and the 1st hiker then takes 4 hours to cover than same distance. Expressed as
b = dx = 4c
dx = 4c
x = 4c/d
We now have two expressions for x, set them equal to each other.
9d/c = 4c/d
Multiply both sides by d
9d^2/c = 4c
Divide both sides by c
9d^2/c^2 = 4
Interesting... Both sides are exact squares. Take the square root of both sides
3d/c = 2
d/c = 2/3
We now know the ratio of the speeds of the two hikers. Let's see what X is now.
x = 9d/c = 9*2/3 = 18/3 = 6
x = 4c/d = 4*3/2 = 12/2 = 6
Both expressions for x, claim x to be 6 hours. And 6 hours prior to noon is 6am.
We don't know the actual speeds of the two hikers, nor how far they actually walked. But we do know their relative speeds. And that's enough to figure out when dawn was.</span>
To find out how much money Casey and her two friends will each get, we simply need to divide the total amount of income by the amount of people receiving a part of it
54 / 3 = 18
Casey and her two friends each got $18 from their lemonade stand.
Hope that helped! =)
