Can anybody help me on this

9514 1404 393

  a. x = 13/7

  b. j = 3

  c. y = 2

  d. p = 25

Step-by-step explanation:

Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.

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a. 3x +13 = 10x . . . . combine like terms

  13 = 7x . . . . . . . . . subtract 3x

  13/7 = x . . . . . . . . divide by the coefficient of x

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b. 10j -20 = 10 . . . . combine like terms

  10j = 30 . . . . . . . . add 20

  j = 3 . . . . . . . . . . . divide by 10

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c. 6y = 14 -y . . . . . . combine like terms

  7y = 14 . . . . . . . . . add y

  y = 2 . . . . . . . . . . divide by 7

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d. p + 8 = 33 . . . . . . combine like terms

  p = 25 . . . . . . . . .  add -8

Comment on solving equations

In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.

You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.

The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.

"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: