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Alexeev081 [22]
3 years ago
6

I can’t figure out this answer I’ve gotten so many and it seems non of them work

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

The quotient is 0.20125.

Solution:

Divide .03220 by .16

This can be written as

$\frac{\cdot 03220}{\cdot 16}

To divide this, we first remove the decimal term.

To remove decimal in denominator multiply and divide by 100.

$\frac{\cdot 03220}{\cdot 16}\times \frac{100}{100}=\frac{3.22}{16}

Now, divide 3.22 by 16.

The quotient is 0.20125.

The image of the long division is attached below.

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The right answer is: <em>The binomial expression 2w + 6 represents the length of the fish tank.</em>


Dylan has a fish tank, so we assume that this tank is a cube. In this way, the volume of the tank is given by this expression:


V = w.h.l


Where:

h: height

w: width

l: length


We know the following things:


FIRST.<em> He knows its height, h, is one inch less than twice the width, w.</em>

This can be expressed as the following equation:


h=2w-1


SECOND. <em>The length, l, of the fish tank is seven inches longer than the height.</em>

We can express this statement as follows:

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By substituting h \ and \ l in V:

V=w.h.l \\ \\ \therefore V=w(2w-1)(2w+6) \\ \\ \therefore V=w(4w^2-12w-2w-6) \\ \\ \therefore \boxed{V=4w^3-14w^2-6w}

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