Answer: Aiden bought 8 notebooks and 5 covers.
This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.
Our equations are:
x + y = 13
1.37x + 1.08y = 16.36
Where x is the number of notebooks and y is the number of covers.
To solve these equations, you can use anyone of these methods:
1) Graphing
2) Substitution
3) Elimination
The easiest way would be to graph them with a graphing calculator and find the point of intersection.
<h3>
Answer: A) -2</h3>
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Explanation:
Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (2-7)/(-6-4)
m = (-5)/(-10)
m = 1/2
The slope of line AB is 1/2
To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope
1/2 becomes -2/1 or simply -2
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Slope of AB = 1/2
Slope of BC = -2
Notice how the two perpendicular slopes multiply to -1.
We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.
Remember
and
and
so
I'm going to assume that that x after the 2 exponent is multiply and not a variable to be multiplied, if it is go to option 2
=
=
2. if that x was a variable and nod a multiply then
3 types breakfast
2 types drink
3*2 = 6 breakfast drink combos
where the eggs and juice is 1 of those 6
probability is 1/6