Answer:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step explanation:
If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4
6x ≥ 8x - 4
Solving the inequation;
Subtracting 6x each side:
0 ≥ 8x - 6x -4
Summing 4 each side
4 ≥ 2x
Dividing by 2 each side
2 ≥ x
2 greater or equal than x is the same as:
x ≤ 2
here's the solution,
let the length of shorter peice = x
then the lenght of longer peice = 6x + 8
now, we know that the sum of length of peices measures 99 feet,
So,
=》x + 6x + 8 = 99
=》7x = 91
=》x = 13
shorter piece length = 13 feet
longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to

therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant 