Formula to find perimeter
2(l + w) = perimeter
Input the algebra to the formula, and you'll find x
2(2x + 4 + 3x + 1) = 25
2(5x + 5) = 25
10x + 10 = 25
10x = 15
x = 1.5
Let g = graph paper and r = ruler
1st equation: 5g + 30r = 40
2nd equation: 12g + 20r = 44
Multiply the 2nd equation by -1.5 to cancel out the r's
2nd equation: 12g + 20r = 44 x -1.5 = -18g - 30r = -66
Now add the 1st equation to that:
-18g + 5g = -13g
30r -30r = 0
40 -66 = -26
The new equation becomes -13g = -26
Divide both sides by -13
g = -26 / -13
g = 2
This means each pack of graph paper cost $2.
Now replace g with 2 in the first equation to solve for the cost of a rule:
5(2) + 30r = 40
Simplify:
10 + 30r = 40
Subtract 10 from each side:
30r = 30
Divide both sides by 30:
r = 30 / 30
r = 1
Each rule cost $1.
I was expecting a choice that said A(1,4) is in the first quadrant so 90 degrees clockwise is fourth quadrant. For perpendicularity we reverse the coordinates, negating one of them. For the fourth quadrant, it must be the y coordinate that's negative. We end up at A'(4,-1).
The answer is the second choice: create a circle with the center at the origin. The image of A' will be on the circle, 90 degrees clockwise from A.
I believe the answer is 1/2
I changed 3 1/2 to an improper fraction (7/2), then I had to find the reciprocal of 7, which is 1/7. I then multiplied 7/2 by 1/7 which gave me 7/14, which I reduced to 1/2.
Hope this answers your question.
95% of 100 because 95 = 95% of 100
