To solve this problem you must apply the proccedure shown below:
1. You have that
varies jointly as
and
and inversely as the product of
and
. Therefore, you can write the following equation, where
is the constant of proportionality:

2. Now, you must solve for the constant of proportionality, as following:

3. Susbtiute values:


4. Substitute the value of the constant of proportionality into the equation:

The answer is: 
The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
Answer:
So total number which is not divisible by 11 = 89999-8181 = 81819
Step-by-step explanation:
We have to find the total numbers which are not divisible by 11 from 10000 to 99999
Total number from 10000 to 99999 = 99999-10000+1=90000
Just after 10000 the number which is divisible by 11 is 10010
And just below 99999 the number which is divisible by 11 is 99990
Using AP formula
, here a is first term, d is common difference and n is number of terms
So 
n-1 = 8180
n= 8181
So total number which is not divisible by 11 = 90000-8181 = 81819
Question:
Factor 
(8 - x)(8 - x)
(8 + x) (8 - x)
(X + 8)(x-8)
Answer:
Option B:
is the factor
Explanation:
Given that the expression is 
We need to find the factor of the given expression.
Let us rewrite the expression as 
Since the expression is of the form
, let us use the identity 
where a = 8 and b = x
Substituting the values in the identity, then the expression can be written as

Thus, the factor of the expression is 
Hence, Option B is the correct answer.
The amount of balls in a given layer can be found by squaring the layer it is in
4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16
add them up
1+4+9+16=30
30 in that pyramid