Answer:
N = 35 × 34^6
N = 54,068,154,560
Step-by-step explanation:
Given;
The license plate have 7 characters.
Each character can be a capital letter, or a digit except for 0.
There are 26 capital letters
And there are 9 digits excluding 0
The total number of possible entries in each character is;
26+9 = 35
The number of license plates in which no two adjacent characters are the same are;
For no two adjacent characters of the license plate not to be the same that is no two characters that follow each other can be the same, the number of possible entries in the adjacent characters apart from the first character would be reduced by one.
N = 35 × 34 ×34×34×34×34×34
N = 35 × 34^6
N = 54,068,154,560
Therefore, there are 54,068,154,560 possible license plates
Answer:
w=5
Step-by-step explanation:
using the distributive property to simplify the equation
-4(w)+1(-4)=-24 so
-4w-4=-24 (adding 4 to both sides)
-4w==20 (divide by -4)
w=5
Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
Since "p" represents the number of pounds of peanuts and:
4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:
4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:
4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:
0.9 = 0.45p [then by dividing both sides by 0.45 we have:
2 = p
So there are 2 pounds of peanuts needed for the trail mix.
