Answer: Pigeonhole Principle
Step-by-step explanation:
The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.
If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.
We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.
for every 3 gallons of blue paint there is an additional 5 gallons of yellow paint
1.41 times
1) Well, let's get started by writing out the equation:
![S=\sqrt[]{gL}](https://tex.z-dn.net/?f=S%3D%5Csqrt%5B%5D%7BgL%7D)
2) Let's find out the maximum walking speed of a giraffe, plugging into that the given data: Giraffe Leg Length: 6
![\begin{gathered} S_{\text{giraffe}}=\sqrt[]{32\times6} \\ S_{\text{giraffe}}=\sqrt[]{192}\approx13.86 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S_%7B%5Ctext%7Bgiraffe%7D%7D%3D%5Csqrt%5B%5D%7B32%5Ctimes6%7D%20%5C%5C%20S_%7B%5Ctext%7Bgiraffe%7D%7D%3D%5Csqrt%5B%5D%7B192%7D%5Capprox13.86%20%5Cend%7Bgathered%7D)
And the hippotamus:
![S_{\text{hippo}}=\sqrt[]{32\times3}\Rightarrow\sqrt[]{96}\approx9.80](https://tex.z-dn.net/?f=S_%7B%5Ctext%7Bhippo%7D%7D%3D%5Csqrt%5B%5D%7B32%5Ctimes3%7D%5CRightarrow%5Csqrt%5B%5D%7B96%7D%5Capprox9.80)
And now how many times greater by dividing the giraffe's speed by the hippopotamus speed:
Hence, the answer is 1.41 times.
3 pieces for each person. 38 left in total. Hope this help!
