The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
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<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
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So, we have:


The area of these corresponding sides are:
---- the first

While, the area of the second is:


The ratio of these two sides are:

<em>This gives</em>

Cancel out common terms

Express as fractions

Also, we have:

This gives

Cross multiply


Hence, option (c) is true
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Answer:
The cost per duck is $5.00 and $8.00 for chickens
Step-by-step explanation:
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
9d = 165 - 15c
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
Answer:

Step-by-step explanation:
Given

Required
Find x
When the result is 4.4, we have:

This gives:

Divide both sides by 2

Square both sides


When the result is 4.5, we have:


Divide both sides by 2

Square both sides


So, the value of x is between 4.84 and 5.0625
i.e.

The only integer between the above interval is 5.
Hence:

The answer is 14.
You’d evaluate using PEMDAS