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.
In this case there will be 2 solutions to solve for in this equation, both will equal plus and minus the answer. Which is 14.
6(3x + 5) = +_ 14
The solutions will be the following :
(14/6 - 5)/3
(-14/6 - 5)/3.
10x10x10 which is 1000 have a great day
Combine the terms by multiplying into a single fraction.
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Combine the multiplied terms into a single fraction
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Eliminate the denominators of the fractions.
Cancel the multiplied terms that are in the denominator.
To distribute.
Add 28 to both sides.
Simplify
Subtract 3x from both sides.
Simplify
Divide both sides by the same factor.
Simplify
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<h3>Verification</h3>
Let x=12.
Checked ✅
