Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that 
. Substituting in x+y=54, we get 
, meaning that 
. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
Answer: the price of one ticket is $70.
Step-by-step explanation:
The family of four went to a theme park and spent the total of $480 on tickets, food, and souvenir.
1/6 of their money was spent for souvenirs . It means that the amount of money that was spent on souvenirs is
1/6 × 480 = $80
1/4 of their money was spent for food. It means that the amount of money that was spent on food is
1/4 × 480 = $120
Total amount spent on souvenirs and food is
120 + 80 = $200
Total amount spent on tickets is
480 - 200 = $280
Since they are 4, the price of one ticket would be
280/4 = $70
Answer:
$45
Step-by-step explanation:
60/4=15 15x3(75%)=45
Slope is change in y over change in x, or (y2 - y1) / (x2 - x1). Pick two points, and the change in the y-coordinates over the change in x-coordinates is the slope.
