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juin [17]
3 years ago
5

How many 3/4 cup serveings of cereal can be made from a box containg 11 1/4 cups?

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

There are 9 servings

Step-by-step explanation:

In order to find how many servings there are, divide the amount in a box by the amount in a serving.

11 1/4 / 3/4

Now change them to improper fractions.

45/4 / 5/4

Now complete the operation.

180/20

9

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Step 1. Find the radius r of circles.
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Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)

Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft

Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²

Step 3. Find the total area of the field (A2)
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Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
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