Answer:
Explanation Below
Step-by-step explanation:
1. -4 + | x - 1 | = 3
= -4 + | x - 1 | + 4 = 3 + 4
= | x - 1 | = 7
= x - 1 = -7 or x - 1 = 7
= x = -6 or x = 8
2. 6 + 4 | 2x + 6| = 14
= 6 + 4 | 2x + 6 | - 6 = 14 - 6
= 4 | 2x + 6 | = 8
= 4 | 2x + 6 | / 4 = 8/4
= 2x + 6 = -2 or 2x + 6 = 2
= x = -4 or x = -2
3. -10 + | -6 - x | = 1
= -10 + | -6 + x | + 10 = 1 + 10
= | -6 - x | = 11
= -6 - x = -11 or -6 - x = 11
= x = -17 or x = 5
4. | 7 - 2x | + 4 = 5
= | 7 - 2x | + 4 - 4 = 5 - 4
= | 7 - 2x | = 1
= 7 - 2x = -1 or 7 - 2x = 1
= x = 3 or x = 4
Here are the Steps:
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
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Answer A
For ease convert both into ounces.
Gross = (11x16) + 5 = 181 ounces
Packaging = (1x16) + 15 = 31 oz.
Now subtract Packaging from Gross
181 - 31 = 150 oz.
Divide by 16 to get pounds
150/16 = 9.375 - hence 9 lb.
and multiply 16 by .375 for ounces
0.375 x 16 = 6 oz.
Thus A : 9lb 6 oz
Answer
24
Step-by-step explanation:
2:2 = 8
45 / 5 = 168
168 - 45 = 123
123 - 45 = 78
78 take away the 7 is 8 , 8 x 5 = 40 / 8 = 24
Answer:
Volume = 80 cm3
Step-by-step explanation:
The formula for pyrimads is (LWH)/3
i know you need this quick so i made it short, good luck.
Method One
You could divide by 5 right away.
20/5 = - 3 + x
4 = - 3 + x Add 3 to both sides.
4 + 3 = x
x = 7
Method Two.
You could remove the brackets. This is slightly longer, but some questions can only be solved that way.
20 = 5(-3) + 5x
20 = -15 + 5x Add 15 to both sides
20 + 15 = 5x
35 = 5x Divide by 5
35/5 = x
7 = x