Answer:
![\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{1200}{499}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.40480\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{1200}{499}]\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5Cfrac%7B1200%7D%7B499%7D%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ax%5Cle%20%5C%3A2.40480%5Cdots%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cfrac%7B1200%7D%7B499%7D%5D%5Cend%7Bbmatrix%7D)
Step-by-step explanation:

Answer:
the diameter is 28 centimeters and the area is 97.4 centimeters
Step-by-step explanation:
the diameter is just the radius plus the radius so its 28
and i just solved for the area and got 97.4
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
Answer: $357 is more amount budgeted for food increase.
Explanation:
Since we have given that
Number of people according to the budget = 150
Cost of food per person= $4.25
Total cost of food is given by

If the number of guests attending the opening was 56% more than expected,
So, number of guests now is given by

Total cost of food is given by
Difference between them is given by

Hence, $357 is more amount budgeted for food increase.
Answer:
decrease by 2
Step-by-step explanation:
6/3 = 2
6>3, then it must be a decrease