Answer:
$( 51x^2 + x + 29).
Step-by-step explanation:
Amount she had left = original amount - amount spent on the gloves
=  62x^2 + x - 4 - (11x^2 - 33)   (note we place the amount spent on gloves in parentheses because we have to subtract the whole amount)
Now we distribute the negative over the parentheses:
= 62x^2 + x - 4 - 11x^2 + 33     ( note - 33 becomes -33*-1 = +33)
Now simplifying like terms:
= 51x^2 + x + 29  (answer).
 
        
             
        
        
        
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

By substitution, we have that 

 and 

.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
 
        
        
        
Answer:
 Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.
Step-by-step explanation:
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. 
 <em>" The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle "</em>
Hence Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.
 
        
                    
             
        
        
        
Answer:
0.01364
Step-by-step explanation:
It is given that,
A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25. 
Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound
Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound
Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :
D = 0.10909 - 0.09545 
D = 0.01364 
Therefore, this is the required solution.