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
Response:
Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.
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Detailed explanation:
The answer is 4 packs of medium cups and 6 packs of large cups.
Response:
The width of the arch measures 105 meters
Detailed explanation:
The function that describes the width of the arch is
f(x) = -0.016(x - 52.5)² + 45
where x denotes the horizontal distance from the left end of the arch or the width at its base
f(x) indicates the vertical height of the arch
According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).
The vertex coordinates indicate that
the arch's height is 45 meters
and half the horizontal span from the left end is 52.5 meters
Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5
resulting in 105 meters
Consequently, the bridge's width is 105 meters.
