Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n
Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
Answer:
The mean of the tap water boiling point is about 2 degrees Celsius less than the mean of the salt water temperature.
Step-by-step explanation:
Boiling point is the temperature at which a liquid boils or changes from liquid form to gaseous form. Water has a boiling point of 100 degrees Celsius.
Boiling point of water depends on atmospheric pressure which changes according to the height above sea level of a place.
Boiling point can also change depending on the purity of water.Water that has impurities such as salt will have a slightly higher boiling temperature.
The mean of the tap water boiling point is about 2 degrees Celsius less than the mean of the salt water temperature.
Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
Answer:
No
Step-by-step explanation:
12:15 can be simplified to 4:5
6:14 can be simplified to 3:7
These two are not equivalent to eachother
Answer:
-2948
Step-by-step explanation:
the only fraction it can be is -2948/1 but it is the same thing as the answer itself
