Answer: x = 9.5
Step-by-step explanation:
3x - 12 = 5x - 31
First, add 31 to each side.
We get:
3x + 19 = 5x
Subtract 3x from each side.
We get:
19 = 2x
Divide both side by 2
9.5 = x
Answer:

Step-by-step explanation:
Given a circle centred at the point P(-4,-6) and passing through the point
R(2,2).
To find its equation, we follow these steps.
Step 1: Determine its radius, r using the distance formula
For point P(-4,-6) and R(2,2)

Step 2: Determine the equation
The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: 
Centre,(h,k)=P(-4,-6)
r=10
Therefore, the equation of the circle is:

Answer:
lies between 0 and 1.
Step-by-step explanation:
We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:
, 

Which is now developed mathematically to deduce a useful expression to find integers:
1)
Given
2)
Modulative property
3)
Existence of Multiplicative inverse/Definition of division.
4)
Commutative, Associative and Distributive properties.
5)
Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.
If we know that
and
, the following inequation is formed:

It is quite evident to conclude that
lies between 0 and 1.
Where a= next number in the sequence:
a=n(-3) + 6