6(4x + 2) = 3(8x + 4)
Reorder the terms:
6(2 + 4x) = 3(8x + 4)
(2 * 6 + 4x * 6) = 3(8x + 4)
(12 + 24x) = 3(8x + 4)
Reorder the terms:
12 + 24x = 3(4 + 8x)
12 + 24x = (4 * 3 + 8x * 3)
12 + 24x = (12 + 24x)
Add '-12' to each side of the equation.
12 + -12 + 24x = 12 + -12 + 24x
Combine like terms: 12 + -12 = 0
0 + 24x = 12 + -12 + 24x
24x = 12 + -12 + 24x
Combine like terms: 12 + -12 = 0
24x = 0 + 24x
24x = 24x
Add '-24x' to each side of the equation.
24x + -24x = 24x + -24x
Combine like terms: 24x + -24x = 0
0 = 24x + -24x
Combine like terms: 24x + -24x = 0
0 = 0
Solving
0 = 0
Answer:
A∩B=∅
Step-by-step explanation:
A intersect B have no elements in common - so we have the empty set.
Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage i
Assoli18 [71]
Answer:
3,628,800 (aka "10!")
Step-by-step explanation:
The first letter in the code can be 10 possible letters.
Since every letter can only be used once, the second letter can only be 9 possible letters.
E.G.: If the first letter is A, the second letter is B-J.
The third letter would be 8 possible letters, than the fourth would be 7, etc.
In math form, figuring out the possible combinations would be written out as so:
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
An easier way to write this out would be using "10!", which stands for "10 Factorial"
The result of the above equals 3,628,800.
Answer:
x = 2.66666667
Step-by-step explanation:
3(x + 1) = 11
We multiply both x and 1 by 3 and get
3x + 3 = 11
Now we subtract 3 from both sides
3x + 3 - 3 = 11 - 3
3x = 8
Now divide both sides by 3
3x/3 = 8/3
x = 2.66666667
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