Of the dogs in a dog show, 1/12 were classified as belonging to the abound group. Of the dogs in the hound group, 3/10 of them were English foxhounds. What fraction of the dogs in the group were considered English foxhounds?

Answer:

The quotient of our given numbers is 3.65.

Step-by-step explanation:

We are asked to find the quotient of 43.8 and 12.

To find the quotient of 43.8 and 12, we need to divide 43.8 by 12 as shown below:

Therefore, the quotient of our given numbers would be 3.65.

Answer:

The recipe calls for 4/3 cups of oatmeal and 9/2 cups of flour.

If we convert them to a common denominator, we have 8/6 cups of oatmeal and 27/6 cups of flour, so, the ratio is 8:27.

If you use 6 cups of oatmeal and 9 cups of flour, the ratio will become 2:3 and will no longer be proportional

Answer:

See  below

Step-by-step explanation:

Lets label the consecutive odd numbers as 2n+1 and 2n+3 where n is an integer.

We need to prove that

((2n + 3)^2 - (2n + 1)^2 is a multiple of 8.

Using the difference of 2 squares on the left side:-

(2n + 3 + 2n + 1)(2n + 3 -  (2n + 1)

=  (4n + 4)(2)

= 8n + 8  which is a multiple of 8  

Final answer:

The difference between squares of consecutive odd numbers can be expressed as 4n+4 which is a multiple of 8.

Explanation:

Let's take two consecutive odd numbers. We can express an odd number as 2n+1 where n is any integer. So, the consecutive odd number will be 2n+3 (adding 2 to the previous one).

Now, the squares of these consecutive numbers are (2n+1)² and (2n+3)² respectively.

The difference between these squares is (2n+3)² - (2n+1)². Applying the formula a² - b² = (a+b)(a-b), we get 4n+4 as the answer which is a multiple of 8 as 8 divides it without a remainder.

So the difference between the squares of consecutive odd numbers is a multiple of 8.

Learn more about Consecutive Odd Numbers here:

brainly.com/question/35983904

#SPJ3

Answer:

Lan has 7 friends.

Step-by-step explanation: