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3 years ago

1/2 +3/4 simplest form ??

Mathematics

1 answer:

Feliz [49]3 years ago

6 0

1/2 + 3/4

1/2 = 2/4 therefore

2/4 + 3/4 = 5/4

5/4 (improper fraction) = 1 1/4 (mixed fraction)

hope this helps

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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

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3 years ago

Which kind of ethical issue is unique to the healthcare industry? financial end-of-life employee-relations safety

Alex73 [517]

Answer:

Step-by-step explanation:

end of life

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3 years ago

Read 2 more answers

Set up an equation and solve for this problem.

viktelen [127]

Your equation might look like this,
Since the ticket is $8, and her budget is 50, your gonna have to divide.
Then the remaining answer would be, 6.25.
So, your equation= $50/$8=6.25
Your answer is 6, 6 tickets can be bought with the remainder of 0.25 cents.

7 0

3 years ago

Giving all my points

Dominik [7]

The answer is $2.50 because you do 145-132.50=12.5
Then you divide by 5 because that’s the difference between students then the final answer is 2.50

4 0

3 years ago

Slope of points (2,2) and (-2,-2)

nika2105 [10]

SLope = (2 + 2)/(2 + 2) = 4/4 = 1

Answer

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3 years ago