Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Answer:
Mr K purchased 6 chicken sandwiches and 6 pizza slices.
Step-by-step explanation:
Let Mr. K purchased number of chicken sandwiches = x
and number of pizza slices = y
Since total number of dancers = 12
then the equation will be
x + y = 12 --------(1)
Mr K. spent total amount = $72
Therefore, equation to purchase x sandwiches, y pizza slices and 12 drinks will be
6x + 3y + 1.5×(12) = 72
6x + 3y + 18 = 72
6x + 3y = 54
2x + y = 18 -------(2)
We subtract equation (1) from (2)
(2x + y) - (x + y) = 18 - 12
x = 6
from equation (1)
6 + y = 12
y = 6
Therefore, Mr K purchase 6 chicken sandwiches, 6 pizza slices.
Answer:
x = 10 so D
Step-by-step explanation:
-4 + x = 6
add 4 both sides to get the x by itself
so 4 + 6 = 10
then the final answer is x = 10