1. 100-96=. 4
2.4b
3.b=12
4. 12 boxes
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Answer:

Step-by-step explanation:
So, for 60 square feet they charge = 287
So, for 1 square foot they charge = 
If they charge the installation fee this becomes = 
We can write an equation to calculate cost by using this 
Where x is the amount of square foot
Part A
The graph is shown below as an attached image.
The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)
I'm using GeoGebra to graph the line.
side note: (0, -3) is the y intercept which is where the graph crosses the y axis.
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Part B
Answer is choice 2
The graph can be written in the form y = mx+b, so it is linear
In this case, m = -2 is the slope and b = -3 is the y intercept
We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.
a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.