Answer:

Step-by-step explanation:
Given:



 (segment addition postulate)
 (segment addition postulate)
 (substitution)
 (substitution)
 (subtracting 17 from each side)
 (subtracting 17 from each side)

 (Subtracting 5y from both sides)
 (Subtracting 5y from both sides)


 (dividing both sides by -2)
 (dividing both sides by -2)

Plug in the value of y


 
        
             
        
        
        
The answer is A. Just remember the acronym for foil.
        
                    
             
        
        
        
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 
Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.
Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.
Tom is already in the fraction we like, so just keep this as 21/100. 
Now, add 28/100, 30/100 and 21/100 to get 79/100. 
Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 
Another way of going about this is 100/100-79/100. The answer is 21/100
The probability of Liz winning is 21/100. 
Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :) 
        
             
        
        
        
Answer and Step-by-step explanation:
We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.
If f(x) = 17, then 
3x + 2 = 17, to find the value of x, we have solve for x in the equation.
3x = 17 – 2
3x = 15
x = 5
This is the method that can be used to solve problems of this nature.
 
        
             
        
        
        
Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement 
''The sum of two and number is less than five''.
Let us breakdown the statement.
- The sum of two and number = 2 + n
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.

Subtract 2 from both sides

Simplify

Thus, the solution is:

Please also check the attached solution line graph.