<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>
This is easy!
The overall amounts of flips is 32, which puts it on the bottom. It gave you a number of times you flipped it and received 8.
Giving us 8/32
which is 1/4 and in percentage form it is 25%
First, find the probability of each event:
1) the probability that the spinner will land on a 7.
Since the spinner is split 4 equal sections and there is only 1 sector with 7, we can say the probability of getting a 7 is 1/4 as there is only 1 of 7 out of the total of 4 sections.
<em>and</em>
2) the probability that the spinner will land on B.
Since the spinner is split into 3 equal sections, and there is only 1 sector for B, we can say the probability of getting B is 1/3.
To find the probability of 2 events, we need to multiply the two probabilities.
1/4*1/3 = 1/12
So the answer is 1/12.
80 cups in a 5 gallon jug of water.
1 quart has 4 cups
1 gallon has 4 quarts
1 gallon = 4 quarts * 4 cups = 16 cups
5 gallons = has 80 cups of water.
(4 cups / 1 quart) x (4 quarts / 1 gallon) x (5 gallons) = 4 x 4 x 5 = 80 cups <u>
</u>
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.
Therefore the common ratio is 6.
