Use 0 as the y value then solve for x. answer: 3
        
             
        
        
        
Answer:
C
Step-by-step explanation:
You can start by "filling up" all of the bigger boxes. 75*14=1050 cupcakes, which when subtracted from the total initial amount leaves 400 cupcakes for the smaller boxes. The smallest multiple of 13 smaller than 400 is 390, which is 10 smaller than 400. Therefore, there will be 10 cupcakes left over, or answer choice C. Hope this helps!
 
        
                    
             
        
        
        
Answer:
 a=2
Step-by-step explanation:
8a +9=3a +19
Subtract 9 from both sides
-9=      -9
8a=3a +10
Subtract -3a from both sides
5a=10
5a=10
5a divided by both sides
5/5
10/5=2
a=2
 
        
             
        
        
        
Hey there! 
The answer is C. 
First of all, let's assign variables. We can use t for tricycles and b for bicycles. 
Next let's look at the first statement: 
"There are at most 12 bicycles and tricycles in a school playground." 
"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12. 
We can write this as b + t ≤ 12. 
Now we can look at the second statement: 
"There are at least 17 wheels altogether." 
"At least" means the number 17 will be included in the inequality. 
Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17. 
That can be written as 2b + 3t ≥ 17. 
Our final system of inequalities: 
b + t ≤ 12
2b + 3t ≥ 17 
This matches option C.
Hope this helps!
 
        
             
        
        
        
Answer:
17.4 (3 Significant numbers)
Step-by-step explanation:
Formula for finding Cylinder : π r² h
So your 5453 = π x (20cm ÷ 2)² x height
To get height (tallness), divide 5453 by (100π)
Depending on your π, your answer should be either, 17.366 / 17.35 / 17.357 which all rounds up to 17.4 if your question asks for 3 significant figures