Answer:
9
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

In 1998, Cathy's age was

And it must be equal to the sum of the four digits 

Rearranging

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

Operating

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
 
        
             
        
        
        
Answer: 1st is 180$ sorry if I’m wrong
Step-by-step explanation:
 
        
                    
             
        
        
        
The required number line that shows all of the possible
temperatures is option A.
<h3>Inequalities and number line</h3>
From the given question, we have that water freezes when its temperature is no more than 32 °F
The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;
t ≤ 32.
We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible
temperatures is option A.
Learn more on number lines here: brainly.com/question/24644930
 
        
             
        
        
        
Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:
3 * 15 = 45 footlong hotdogs