Answer:
The cost of one adult ticket is $13, and the price of one student ticket is $4.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of an adult ticket
y is the cost of a student ticket.
6 adult tickets and 1 student ticket for a total of $82
This means that
The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.
This means that
Simplifying by 3
Since
The cost of one adult ticket is $13, and the price of one student ticket is $4.
It equals 1 thanks for the potion
Answer:
ellen ran faster
Step-by-step explanation:you take the meters ran and devide the number by an amount that would make both the meters ran the same in this case its 400 devided by 2 to give you 200 and because lindsays metres were divided then that means that you devide her time by the amount that you used to devide the metres meaning you devide her time by 2 sixty devided by 2 gives you thirty with ellans 28 sec per 200 metres and lindsays 30 sec per 200 metres than that means that ellan got to 200 metres faster than lindsay.
Answer:
There are 5 apples in the best bundle Charlie can afford
Step-by-step explanation:
If the utility function is u(xa, xb) , where xa represent the quantity of apples and xb is the quantity of bananas then we want to choose the quantity of bananas and apples that maximises the utility of Charlie for the same budget restriction ( get the most benefit for the same money).
The budget restriction is
$4* xa + $2* xb = $40
then
u(xa, xb) =xa*xb
4*xa + 2*xb = 40 → xb = (40 - 4*xa)/2 = 20 - 2*xa
replacing in the utility function
u(xa, xb) =xa* (20 - 2*xa) = 20*xa - 2*xa²
the maximum of this function is obtained when the derivative of the utility function with respect to xa is 0 . Thus
du/dxa = 20 - 4*xa = 0 → xa = 20/4 = 5
then for
xa=5 apples
xb=20 - 2*xa = 20 - 2*5 = 10 bananas
Charlie maximises his utility . Therefore there are 5 apples in the best bundle Charlie can afford
The answer to this equation is y=4
