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Igoryamba
3 years ago
14

you are working to save money for a trip you need to save at least 1000 dollars if you already have 350 saved and you make $8 an

s hour at your job write an inequality to represent how many hours h you need to work to make the rest of the money
Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
$1000 dollars is how much you need to pay for the trip.
You already have $350.
$1000 - $350 = $650.  So, you need to make $650 more.
$650 <span>÷ 8 = 81.25

So you final answer is:  81.25 hours.

Hope this helped you!  :D





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Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

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The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
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