Kelly's regular pay is $10 per hour and overtime pay is $20 per hour.
<h3>What is equation?</h3>
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. Solving this equation, we get the value of the variable x as x = 7.
Here,
Let her regular pay be x and overtime pay be y.
8x+4y=160
y=x+10
8x+4(x+10)=160
8x+4x+40=160
12x=120
x=10
y=x+10
=10+10
=20
Kelly receives a regular pay rate of $10 and a $20 overtime pay.
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We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
If you talk of a scatter plot, regularly the x-axis is used to plot the explanatory variable, this is the possible cause; while the y-axis is used to plot the varibale that is being explained, the result, the efffect.
If you are dealing with a function or model, you the convention is to use the x-axis for the independent variable, this is the input, while the y-axis is for the output or dependent varibale (which is determined by the independent variable).
Y-b=mx-am
y-b-mx=am
(y-b-mx)/m=a
