Answer:
7.92%
Step-by-step explanation:
Given the following
Weight of package at home = 20.2 ounces.
Weight of the package at the office = 18.6ounces
Decrement = 20.2 - 18.6
percentage error = decrement/wt at home * 100
percentage error = 1.6/20.2* 100
percentage error = 160/20.2
percentage error = 7.92
HEnce the percent error in the weight of the package is 7.92%
IF:
|1/2.x -2/3.y = 7 and
|a.x - 8.y = -1
have no solution, that means these 2 linear equations ARE PARALLEL (since they can never meet). Reminder: 2 equations are parallel if they have the same coefficient , so let write each of the equation in the normal form:
a)1/2.x -2/3.y = 7→ -2/3.y = -1/2.x + 7 → y = 3/4.x - 21/2
b) a.x - 8.y = -1 → - 8.y = -a.x - 1 → y= a/8.x + 1
a) and b) are // if (3/4) = (a/8), [the 2 coefficient OR the 2 slopes)
a/8 = 3/4 → a = 24/4 and a = 6 (Answer D)
Answer:
x = 14
Step-by-step explanation:
Solve for x:
4 x - 2 (x - 8) = -12
-2 (x - 8) = 16 - 2 x:
4 x + 16 - 2 x = -12
4 x - 2 x = 2 x:
2 x + 16 = -12
Subtract 16 from both sides:
2 x + (16 - 16) = -16 - 12
16 - 16 = 0:
2 x = -16 - 12
-16 - 12 = -28:
2 x = -28
Divide both sides of 2 x = -28 by 2:
(2 x)/2 = (-28)/2
2/2 = 1:
x = (-28)/2
The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:
Answer: x = -14
