The area of the garden needs to be greater than 400 square feet but less than 600 square feet
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
<u>Alexis spends:</u>
- $8.50 + $7.25 + $5 = $20.75
<u>Money left:</u>
 
        
                    
             
        
        
        
Grace weighed 167 pounds before she started her exercise program.
Step-by-step explanation:
Given, 
Weight lost by Grace = 45 pounds
Weight of Grace after exercise weeks = 122 pounds
Let, 
x represents the weight of Grace before she started the exercise program.
Loss means subtraction, therefore, 
We will subtract the lost weight from original weight. 
Original weight - Weight lost = Weight after exercise weeks

Adding 45 on both sides 

Grace weighed 167 pounds before she started her exercise program.
Keywords: equation, addition
Learn more about addition at:
#LearnwithBrainly
 
        
             
        
        
        
Answer:
B) m∠ A'B'C' = m∠ABC
Step-by-step explanation:
A rotation does not change angle measure or side length.  It preserves congruence.
This means that the image angle, A'B'C', will be congruent to the pre-image angle, ABC.
 
        
                    
             
        
        
        
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as 
 and we can use this to express both of our values. So, for Ohio, we have
 and we can use this to express both of our values. So, for Ohio, we have  and for Illinois we have
 and for Illinois we have  . Now, because they are proportional, we can set them equal to each other and we get
. Now, because they are proportional, we can set them equal to each other and we get  . Now we can cross multiply to get
. Now we can cross multiply to get  . To get the
 . To get the  alone on one side, we divide by
 alone on one side, we divide by and we get 124,662.931034, which is about equal to 124,663.
 and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers