Answer:
120 distinct results are possible if no child is to receive more than one gifts.
Step-by-step explanation:
When the order is not important, we use the combination formula:
 is the number of different combinatios of x objects from a set of n elements, given by the following formula.
 is the number of different combinatios of x objects from a set of n elements, given by the following formula.

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.
In this problem, we have that:
Combinations of 7 from a set of 10 elements. So


120 distinct results are possible if no child is to receive more than one gifts.
 
        
             
        
        
        
8
3/4
x/32
Solve for x, = 24
Subtract 24 from 32
Also another way
4 x n = 32
n = 8
3x8 = 24
Subtract and same result
        
                    
             
        
        
        
The simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is 53 - w.
<h3>Linear equation:</h3>
Linear equation is an equation in which the highest power of the variable is equals to one. 
Therefore, the number of economy-size cars rented in w weeks is represented as follows:
The number of full-size cars rented in w weeks is represented as follows:
where
w = number of weeks
A  simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is as follows:
- 152 + 3w - (99 + 2w)
- 152 + 3w - 99 - 2w
- 53 - w
learn more on polynomial here: brainly.com/question/2566362
 
        
             
        
        
        
Answer:
x ≤ 22
Step-by-step explanation:
≤ means less than or equal to
≥ means greater than or equal to
 
        
                    
             
        
        
        
Answer:
He is 13 years old
Step-by-step explanation:
32-45=-13
the opposite of -13 is positive 13