Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
Answer:
The temperature of the weather station was 3 degrees Celcius an hour earlier.
Step-by-step explanation:
We can say that the weather an hour ago should be represented with the variable - x.
From the problem, we know that the temperature of the station falls at a rate of -3 degrees per hour. This means that for every hour, the temperature of the place will go down by about 3 degrees Celsius.
If the temperature of the weather station is currently 0 degrees Celsius, to find its temperature an hour earlier, it means that we will need to add 3 degrees to its current temperature, because that is what must have lost in one hour.
i.e x = 0 + 3 = 3 degrees Celcius.
This means that the temperature of the weather station was 3 degrees Celcius an hour earlier.
For this case we have that by definition:
- <em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction.
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We then have the following expression:

According to the definition, we can conclude that the first term is given by:

Answer:
The first term of the expression is:

Even if the pattern is only shown with 10 numbers you can solve to see what the 100th term would be with algebra
Answer:
She factored out a 4 from the equation.
Step-by-step explanation:
So our original equation is 12x + 4 = 20x - 12
Anika's first steep of her equation is 3x + 1 = 5x - 3
We know that the terms were not moved around, so the first step was likely multiplication or division.
We also see that a 4 has been factored out of the entire equation, like this:
12x + 4 = 20x - 12
4(3x + 4) = 4(5x - 3)
And these 4's cancel each other out.
So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.