Amanda sold 12 pecan cheesecake and six strawberry cheesecakes for a total of $222. calli sold two pecan cheesecake and 12 strawberry cheesecakes for total of $202. what is the cost of each type of cheesecake?

The cost of 1 pecan cheesecake = $11

The cost of 1 strawberry cheesecake = $15

Step-by-step explanation:

Let, the cost of one pecan cheesecake = $x

And, the cost of one strawberry cheesecake = $y

So, according to the question

Amanda sells 12 pecan cheesecake and six strawberry cheesecakes for $222

⇒ 12x + 6y  = $ 222

Cali sells 2 pecan cheesecake and 12 strawberry cheesecakes for $202

⇒ 2x + 12y  = $ 202

Hence, the system of the equations are:    12x + 6y  = $ 222

                                                                      2x + 12y  = $ 202

Solving these system of equations, we get

12x + 6y  - 12x -72 y = 222 - 1212

or, -66 y = -990   ⇒ y = 990/66

⇒  y  = 15

Putting y = 15 in 12 x+ 6 y = 222

12 x + 6(15) = 222

or, 12 x = 222 - 90  ⇒ x = 132/12 = 11

So, x = $11 ,  y = $15

Hence, the cost of 1 pecan cheesecake = $11

The cost of 1 strawberry cheesecake = $15

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: