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Anika [276]
3 years ago
5

Is it possible to find a value of $x$ so that the value of the surface area (in square inches) is equal to the value of the volu

me (in cubic inches)?
If possible, what is the value of $x$ ?
Write an equation to justify your answer.

Mathematics
1 answer:
Annette [7]3 years ago
7 0

The box has volume

11 in × 3 in × <em>x</em> in = 33<em>x</em> in³

and surface area

2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²

The volume and area have the same value if

33<em>x</em> = 66 + 28<em>x</em>

Solve this equation for <em>x</em> :

33<em>x</em> - 28<em>x</em> = 66

5<em>x</em> = 66

<em>x</em> = 66/5 = 13.2

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2 years ago
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The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cooki
anygoal [31]

Answer: the number of cookies sold must be greater than or equal to 800

Step-by-step explanation:

Let x represent the number of cookies made and sold in a month.

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

300 + 0.45x

Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

0.95x

Profit = Revenue - cost

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0.95x - 300 - 0.45x ≥ 100

0.95x - 0.45x ≥ 100 + 300

0.95x - 0.45x ≥ 100 + 300

0.5x ≥ 400

x ≥ 400/0.5

x ≥ 800

7 0
3 years ago
Graph y=-x+2 <br> x-3y=-18
Levart [38]
I really dont know sorry
5 0
3 years ago
What is the image of the point (3, 2) after a rotation of 90° counterclockwise about the origin?​
GarryVolchara [31]
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7 0
3 years ago
Round 248,739 to the nearest hundred
vampirchik [111]

Look at your hundredth spot which is where the 7 is. So…

248, 739

Since 3 is not 5 or higher you cant round 7 up to 8. So your correct answer is 248,700

Hope this helps!

7 0
3 years ago
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