Answer:
Option D.
Step-by-step explanation:
The given statement is

x-4 is difference between x and 4.
|x-4| distance from x because distance can not be negative.
Inequality sign "<" means less than.
represent all values of x whose distance from 4 is less than 0.5.
Therefore, the correct option is D.
The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:
Answer = 235.5
Step-by-step explanation:
Cone volume formula is V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 5^2 * 9
V = 235.5