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katrin [286]
3 years ago
9

If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.​

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

A = wl

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus
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Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

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* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0
3 years ago
-n +(-4) – (-4n) + 6=
Komok [63]

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Step-by-step explanation:

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The equation of a line is x + 4y = 15.
alukav5142 [94]
<h2>Answer:  c.) ¹⁵/₄</h2>

Step-by-step explanation:

If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.

since   x + 4y = 15

then           4y = - x + 15

∴                  y = -¹/₄ x + ¹⁵/₄

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3 years ago
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