The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2
Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in
Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) = 
* We aim to determine
- Initially, let’s calculate 
∵ f(x) = 7 + 4x
∵ g(x) =
∴ 
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) × 
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Next, substitute x with 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
Establish a proportion.
8/127=15/x
Cross multiply
8x=1,905
Divide each side by 8
x=238.125
The greatest of the actual distances is 238.125 km.
Hope this clarification helps:)
