Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form 
where 
. Consider the following cases.
Case 1. If 
is even we have: 
.
If we denote by 
we have that 
.
Case 2. if is odd we have: 
.
If we denote by 
we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
About 750 different permutations
87.5% of 32 questions = 28 questions.
32 - 28 = 4
so there are 4 questions to be done after dinner.
2.5y + 3x = 27
5x - 2.5y = 5
Align the variables to make solving this easier.
2.5y + 3x = 27
-2.5y + 5x = 5
You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.
3x = 27
5x = 5
8x = 32
Divide both sides by 8.
x = 4
Now input that x into one of the equations to get y.
2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6
The answer to this system of equations is x = 4, y = 6. (4, 6)
Answer: 40%
Step-by-step explanation:
Setting up an equation to solve,
25 as the denominator representing the total number of baseball games played to represent the "whole."
10 as the numerator representing the number of games the baseball games won to represent the "part" you want to calculate as a percentage.
The equation, looking like this,
10/25 = ___
after calculating the equation you get 2/5 as reduced, evaluating that in terms of percentage you get 40% as 5 represents 100% (the whole) and 2 representing 40% (the number of baseball games won)
