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

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

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step-by-step explanation: