Complete question:
Benjamin treats himself to breakfast at his go-to restaurant. He orders chocolate milk priced at \$3.25$3.25dollar sign, 3, point, 25. Next, he aims to purchase as many pancake stacks as possible while keeping his total at or below \$30$30dollar sign, 30 prior to tax. Pancakes are sold in stacks of 4 at \$5.50$5.50dollar sign, 5, point, 50. Let SSS denote the number of pancake stacks purchased by Benjamin. 1) What inequality represents this situation?
Answer:
Refer to the explanation below.
Step-by-step explanation:
Information provided:
Chocolate milk costs = $3.25
Price of pancake stack = $5.50 (for 4 pancakes)
Pancake stacks bought = S
Maximum spending ≤ $30
Chocolate milk cost + (Cost per pancake stack × number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Therefore, the maximum number of pancake stacks he can buy without going over budget is 4.
Thus, total pancakes = stacks × pancakes per stack
= 4 × 4
= 16
The three equivalent numerical expressions are:
Solutions to create three numerical expressions equivalent to (0.0004). (0.005)
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
Response:
Alan's survey aims to determine the art preferences among students at the local high school.
To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.
Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.
This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.
Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.
