What is 7/1 dividend by 14/3

Mathematics

2 answers:

bagirrra123 [75]3 years ago

6 0

It is 1 1/2, or 1.5 :p

katrin2010 [14]3 years ago

4 0

7/1 x 3/14 = 21/14 = 3/2 = 1 1/2

The answer is 1 1/12 or 1.5, but I recommend the fraction way since the problem was in fractions!

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Georgia [21]

The answer is $x = \frac{-7+ \sqrt{193} }{4}$ .

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
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The area of the triangular-based cabinet (A) is $A = \frac{a*h}{2}$ , where a is the base, and h is the height of the triangle.
It is given:
A = 36
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Now, let's implement this to the formula $A = \frac{a*h}{2}$ :
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⇒ $36*2=6 x^{2} +12x+9x+18$
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Let's both sides divide by 3:
$24=2 x^{2} +7x+6$
⇒ $2 x^{2} +7x-18=0$

This is the quadratic formula ( $a x^{2} +bx+c=0$ ) for which
$x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ or
<span> $x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}$ .
</span>We will use only <span> $x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ , because the length cannot have negative value.</span>

<span>From the equation $2 x^{2} +7x-18=0$ , we know that
</span>a = 2
b = 7
c = -18

Thus, <span> $x = \frac{-7+ \sqrt{193} }{4}$ :
</span> $x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}$

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