Answer:
x = -3 and x = 9.
Step-by-step explanation:
2|x - 3| - 5 = 7
2|x - 3| = 12
|x - 3| = 6
x - 3 = 6
x = 9
-(x - 3) = 6
-x + 3 = 6
-x = 3
x = -3
Hope this helps!
There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ...
35% markdown: (1 - 0.35) = 0.65
25% markdown: (1 - 0.25) = 0.75
18% markup: (1 + 0.18) = 1.18
15% markdown: (1 - 0.15) = 0.85
The product of all these multipliers is
0.65×0.75×1.18×0.85 = 0.4889625
As you note, $5600×0.4889625 = $2738.19.
Since this multiplier is 1-d, we can find d as
1 - d = 0.4889625
d = 1 - 0.4889625 = 0.5110375
The markdown percentage is this number times 100%:
markdown% ≈ 51.1%
_____
Alternatively, you can work with your final value to find the percentage change from the original.
percent change = ((final value) - (original value))/(original value) × 100%
= (2738.19 - 5600)/5600 × 100%
= -2861.81/5600 × 100%
= -0.5110375 × 100% . . . . . . . this should look familiar
percent change ≈ -51.1%
When the change is negative, it is a markdown (not a markup).
The markdown is 51.1%.
Answer:
Vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Step-by-step explanation:
Vertical change of a point is the rise of the given point.
Now we have to calculate the rise of point C to B,
y-coordinate of the point C → -2.5
y-coordinate of the point B → 2
Rise from C to B = 2 - (-2.5)
= 2 + 2.5
= 4.5
Similarly, y - coordinate of point A → 2
y - coordinate of point D → -2
Vertical change or rise = -2 - 2
= -4
Therefore, vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Answer:
399 children, 33 adults
Step-by-step explanation:
Children = c
Adults = a
c + a = 432
a = 432 - c
1.5c + 2a = 664.50
1.5c + 864 - 2c = 664.50
-.5c + 864 = 664.50
-.5c = -199.5
.5c = 199.5
c = 399
432 - 399 = 33
a = 33
Answer:
25 1/2- 8 1/2=17
17 divided by 2= 8.5
8.5 inches
Step-by-step explanation:
