Answer: it will take 41 nights for the points he earns with either hotel to be the same.
Step-by-step explanation:
Let x represent the number of nights that it will take for the points he earns with either hotel will be the same.
Hotel Elegance is currently offering 525 points for signing up, plus 35 points for every night Alec books at the hotel. This means that the number of points that Alec will get of he spends x nights at the hotel is
35x + 525
Alternatively, Hotel Paradiso is offering a sign-up bonus of 402 points, plus 38 points per night. This means that the number of points that Alec will get of he spends x nights at the hotel is
38x + 402
For the points to be the same at either hotels, the number of nights would be
35x + 525 = 38x + 402
38x - 35x = 525 - 402
3x = 123
x = 123/3 = 41
Answer:
Option D is correct.
Explanation:
Commutative Property of Multiplication define that two numbers can be multiplied in any order.
i.e
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.
Given:
A = 
B = 
C = 
then;

Using Commutative property of Multiplication we can write
then we have;

Using Distributive property of multiplication;

by using associative property of multiplication ,

Therefore, the reasons for A , B and C in this proof are;
A.commutative property of multiplication
B. distributive property
C. associative property of multiplication
Step-by-step explanation:
What is the numbers to find the arra