5x - 7 = 4x - 1...subtract 4x from both sides
5x - 4x - 7 = -1...add 7 to both sides
5x - 4x = -1 + 7...simplify
x = 6
Answer:
Arsenios prefers pepperoni pizza to cheese pizza.
Step-by-step explanation:
Utils are units of utility that show the satisfaction that a consumer gets from using a product. As Arsenios assigns 70 utils per slice from eating pepperoni pizza versus 50 utils from eating cheese pizza, this indicates that he gets more satisfaction from eating pepperoni pizza and because of that, the answer is that we can conclude that Arsenios prefers pepperoni pizza to cheese pizza.
-7-13k would be the answer
5.8 Nickels
Step-by-step explanation:
Let x rep no of Nickels in Mike's cup
Then x - 0.2 = Number of quarters in Mike's cup
0.2x = Amount of money that mike has from the nickels
1 ( x - 0.2) = Amount of money that Mike has from the quarter
Then,
0.2x + 1 (x - 0.2) = 6
Expand the bracket
0.2x + x - 0.2x = 6
x = 6
Recall
x - 0.2 = 0
6 - 0.2 = 5.8
Therefore, Mike has 5.8 nickels for the quarter