Response:

Step-by-step breakdown:
Kevin has already gathered five and a half gallons of water for his trip
He understands that he requires a minimum of 20 gallons of water for the journey.
The water is packaged in 32-fluid ounce (quarter-gallon) containers.
1 fluid ounce equals 0.0078125 gallons
32-fluid ounce 
Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.
One container holds 0.25 gallons of water
Therefore, x containers hold 0.25x gallons of water
Thus, Kevin's total gallons of water =
Since it is given that he needs at least 20 gallons of water for the trip.
Hence, 
Thus, the algebraic inequality representing this scenario is 
Solution:
x=8
Detailed explanation:
This isosceles triangle consists of two right triangles with sides equal to 8,
, and y
Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y
Hence, x=2(4)=8
Answer:
Step-by-step explanation:
Delivery charge = $7.50
Cost per pizza = $14
Budgeted total = $60
7.50 + 14p < 60
First, subtract 7.50 from both sides
14p < 60 - 7.50
14p < 52.50
Now divide both sides by 14
p < 52.50 / 14
p < 3.75
Each pizza consists of 8 slices
Therefore, the total number of slices she can buy = 3.75 × 8
= 30 slices
Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
The initial time was 15.7 minutes.
Explanation of steps:
Let x represent the initial time (in minutes).
The relay team is working on minimizing their relay race duration.
First, they cut down their time by 2.1 minutes.
Afterwards, they manage to reduce that time by 10 percent.
If the concluding time ends up being 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Thus, their starting time was 15.7 minutes.