Answer:
y=15x+250 (x is the number of guests)
Step-by-step explanation:
the 15 is the slope, so that is the number that has to be multiplied by. The 250 is an additional fee that doesn't change, so it's just added on.
 
        
                    
             
        
        
        
Answer:
 are corresponding angles and are congruent to each other.
 are corresponding angles and are congruent to each other.
 are alternate exterior angles and thus congruent to each other.
 are alternate exterior angles and thus congruent to each other.
 are interior angles on the same side, and they are supplementary(sum=180°).
 are interior angles on the same side, and they are supplementary(sum=180°).
Step-by-step explanation:
Given:
Line 
Line  is traversal.
 is traversal.
By angle properties we can name the angle relationship of given angle pairs.
 are corresponding angles and are congruent to each other.
 are corresponding angles and are congruent to each other.
 are alternate exterior angles and thus congruent to each other.
 are alternate exterior angles and thus congruent to each other.
 are interior angles on the same side, and thus they are supplementary.
 are interior angles on the same side, and thus they are supplementary.
 
        
             
        
        
        
Answer:
4×⁴+3׳+7ײ-3x+4
Step-by-step explanation:
First remove the parentheses and pair up like terms
4×⁴+3׳+2ײ+5ײ-x-2x+1+3
Then combine the like terms
4×⁴+3׳+7ײ-3x+4
Which is the answer. 
 
        
             
        
        
        
Answer:
864
Step-by-step explanation:
Volume of cup = ⅓pi×r²×h
Diameter = 2, radius = 1
= ⅓×3.142 × 1² × 4 = 4.1893333333 in³
To empty the sink, 864 scoops will be required 
(3617/4.1893333 = 863.383)