The correct answer is option A. Since store A is giving a discount of 15% on the original price i.e.$ p. Then, the price after discount will be equal to $ 0.85p . And, the second store B offers $150 less than the original price p i.e the price after reduction is $p-$150. Since both the proces after reduction are equal. Thus, $ 0.85p = $p-$150
Length (L): w + 3.5
width (w): w
Perimeter (P) = 2L + 2w
31 = 2(w + 3.5) + 2(w)
31 = 2w + 7 + 2w
31 = 4w + 7
24 = 4w
6 = w
Length (L): w + 3.5 = (6) + 3.5 = 9.5
Answer: width = 6 inches, length = 9.5 inches
In case you want the working out -
You will want to put all these fractions over the same denominator, the lowest common multiple is 180
-2/9
180/9 = 20
20 x -2 = -40/180
A -7/12
180/12 = 15
15 x -7 = -105/180
B -1/15
180/15 = 12
12 x -1 = -12/180
C -1/3
180/3 = 60
60 x -1 = -60/180
D -1/9
180/9 = 20
20 x -1 = -20/180
-105 < -60 < -40 < -20 < -12
A < C < x < D < B
B and D
Answer:
Step-by-step explanation:
A circle is described by an equation in the following form:
(1)
where:
is the x-coordinate of the centre of the circle
is the y-coordinate of the centre of the circle
r is the radius of the circle
For the circle in this problem, we have:
- The centre is located at (2,-8), so
- The radius is 11, so
Therefore substituting into eq(1) we find the equation of this circle:
So the correct option is option B:
