The length of an alligator is 12.8 feet. The length of a replica toy alligator is 3 2/5 inches what scale was used?

128 : 1

Step-by-step explanation:

Given that:

The length of an alligator = 12.8 feet.

The length of its replica toy = 3 2/5 inches = 1.2 inches

Since;

1 foot = 12 inches

Then the scale used is:

(12.8 × 12 ) inches = 1.2 inches

153.6 inches = 1.2 inches

Thus, the scale used is 128 : 1

Hello!

6 girls and 2 boys are to be seated in a row, with 4 girls seated btwn the 2 boys.

Now let us number 8 seats, starting from the left as follows:

S1, S2, S3, S4, S5, S6, S7, S8

Now the following cases arise regarding the seating arrangement of the boys -

B1 seated on S1 and B2 seated on S6 ( leaving S 2,3,4 & 5)

Now in the remaining 6 seats, 6 girls can be arranged in 6! ways = 720 ways.

On interchanging B1 and B2′s place, we get 720 more arrangement

Therefore, current total = 1440 ways

2. B1 - S2 and B2 - S7

1440 more arrangements can be formed as in previous case.

3. B1 - S3 and B2 - S8

1440 more arrangements can be formed as in previous case.

Therefore total ways to arrange the seating plan are 1440 × 3 = 4320 ways

Hope This helped you! :D