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P = Purple Marbles

Y = Yellow Marbles

Total number of marbles is 44.

P + Y = 44

There are 4 less purple marbles than yellow.

P = Y - 4

Substitute P in the original equation:

Y  + Y- 4 = 44

ax = b Formula - Take the four over to the other side:

Y + Y - 4 + 4 = 44 + 4

Y + Y = 48

2Y = 48

x = b Formula - Solve to find Y:

2Y / 2 = 48 / 2

Y = 24

Now find P

P = Y - 4

P = 24 - 4

P = 20

Check the answer is right by substituting both values into the original equation:

P + Y = 44

24 + 20 = 44

20 is 4 less than 24

28

Step-by-step explanation:

 Let P = the number of purple marbles

and Y = the number of yellow marbles. Then

                                         (1)          P + Y = 44

                                         (2)                P = 2Y -4

Substitute (2) into (1)             2Y - 4  + Y = 44

Combine like terms              3Y - 4        = 44

Add 4 to each side               3Y             = 48

Divide each side by 3     (3)    Y             = 16

Substitute (3) into (2)                           P = 2 × 16 - 4

                                                             P =   32    - 4

                                                             P =   28

There are 28 purple marbles.

Check:

(1) 16 + 28 = 44     (2) 28 = 2 × 16 - 4

      44     = 44           28 =    32   - 4

                                            28 = 28

"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:

50x5=$250

step-by-step explanation: