<span>In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 +/- 25mg caffeine per bottle.
To calculate a carton containing 30 bottles, you just need the equation with 30. It will become: (500x30) +/- (25x30)mg= 15000 +/- 750 mg of caffeine per carton</span>
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.
Hopes this Helps :D
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Remember when you learning about the "Least Common
Multiple" and you wondered when in the world you would
ever need to use it ?
Well, here you are ! Hello !
The next time they will cross the starting line together is the
LCM (Least Common Multiple) of 30 and 40 .
Do you remember how to find it ?
Here's one easy way:
Count by 30s until you come to a number that's divisible by 40 .
Laura's first lap. . . . . . . . 30 seconds . . . not divisible by 40
Laura's two laps . . . . . . . 60 seconds . . . not divisible by 40
Laura's three laps. . . . . . 90 seconds . . . not divisible by 40
Laura's four laps. . . . . . 120 seconds . . . divisible by 40
After 120 seconds, Laura has completed four laps,
Shelby has completed only three laps.
X=15/7 (in exact form) or x= 2 1/7 (in mixed number form) or x= 2.142857 (in decimal form)