Answer:
24
Step-by-step explanation:
Given two fractions
and 
Factor the denominators of both fractions:

You can see that two digits 2 are the same in both denominators and there are two more factors: 2 in number 8 and 3 in number 12.
Thus, the least common denominator for
and
is

Answer:
Mean speed = 41.3 mph
Step-by-step explanation:
Given that,
The speeds of an automobiles are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
We need to find the mean speed of the cars.
Mean = sum of observations/ no. of observation

So, the mean speed of the cars is equal to 41.3 mph.
C = 2pi*r
If we rearrange the terms to make r the subject,
We get r = C/2*pi
Hope it helps :)
Input is the same as the x-term and output is the same as the y-term.
For example, take a look at the image provided with thee table.
Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2. Notice that in each case, we're subtracting 5 from the input to get the output.
I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.
The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.
First image is practice if you'd like and the second is the key.
If you don't want to do it, no worries.
Answer:
y = 100,000 + 3500x
$142,000
Step-by-step explanation:
a. The fixed cost is 100,000 while appreciation is 3, 500/year.
Now after x years, total appreciation equals 3,500 × x = 3500x
The total amount in dollars is thus :
y = 100,000 + 3500x.
b. The value of the house in 12 years.
Since y = 100,000 + 3500x, here, y = ? and x = 12.
y = 100,000 + 3500(12) = 100,000 + 42,000 = $142,000