Answer:During the course of a month, there are typically 2 Neap tides and 2 Spring tides.
1) Neap tides occur when the Moon is offset by approximately 90 degrees from the location of the Sun.
2) As a result, during Neap tides, the gravitational forces of the Sun and Moon partially cancel each other out. This leads to lower high tides and higher low tides compared to average tidal ranges.
On the other hand,
1) Spring tides occur when the Moon, Earth, and Sun are aligned, with the Moon either in line with or opposite the Sun.
2) During Spring tides, the gravitational forces of the Sun and Moon combine, resulting in higher high tides and lower low tides compared to average tidal ranges.
These tidal patterns occur due to the gravitational interaction between the Sun, Moon, and Earth, and they have a significant impact on coastal areas and marine ecosystems.
A football team orders sweatshirts. Each sweatshirt costs $49. The price per sweatshirt decreases $0.05 for each sweatshirt that is ordered. How many sweatshirts should the team order for the price per sweatshirt to be no greater than $32.50?
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AI-generated answer
To find out how many sweatshirts the football team should order for the price per sweatshirt to be no greater than $32.50, we can set up an equation based on the given information.
Let's assume the team orders x number of sweatshirts.
1) The cost of the first sweatshirt is $49.
2) The price per sweatshirt decreases by $0.05 for each additional sweatshirt ordered. This means that for the second sweatshirt, the price would be $49 - $0.05, for the third sweatshirt it would be $49 - 2($0.05), and so on.
So, we can express the total cost of the sweatshirts in terms of x:
Total cost = $49(x) - $0.05(1 + 2 + 3 + ... + (x-1))
Now, we need to find the value of x that makes the price per sweatshirt no greater than $32.50:
$49(x) - $0.05(1 + 2 + 3 + ... + (x-1)) ≤ $32.50
Simplifying the equation:
$49x - $0.05(x(x-1)/2) ≤ $32.50
We can solve this equation to find the value of x.
Step-by-step explanation:
