Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let 
where k is an integer
Then, 
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is 
, 2 is even.
The sum is 
, 6 is even.
The slope is approximately 1.7x+5
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
Answer:
12 trades
Step-by-step explanation:
Let's call 'x' the number of trades they will do.
After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.
To find the number of trades when they will have the same amount of cards, we have that:
20 + x = 44 - x
2x = 24
x = 12 trades
Answer:
288 units^3
Step-by-step explanation:
To find the volume of this prism, first find the area of the triangular end.
A = (1/2)(base)(height) comes out to A = (1/2)(6)(8), or A = 24 square units.
Next, multiply this area by the length of the prism: V = (24 units^2)(12 units) = 288 units^3
The volume is 288 units^3
