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Georgia [21]
4 years ago
5

Which fractions are equivalent to -30/48?

Mathematics
1 answer:
Taya2010 [7]4 years ago
4 0
A -5/8 B -15/24 because -30/48 divided twice will equal -15/24 which explains the second answer and -15/24 divided by three will equal -5/8
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Translate to a quadratic​ equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l
balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle =527\ inches^{2}

Solution:

We know that the area of the rectangle.

Area\ of\ rectangle = length\times width

w(2w-3)=527

2w^{2}-3w-527=0

Now, we first find the root of the above equation.

Use quadratic formula with a=2, b=-3, c=-527.

t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put a, b and c value in above equation.

w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}

w=\frac{3\pm \sqrt{9+8\times 527}}{4}

w=\frac{3\pm \sqrt{9+4216}}{4}

w=\frac{3\pm \sqrt{4225}}{4}

w=\frac{3\pm 65}{4}

For positive sign

w=\frac{68}{4}

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

Length = 2\times w-3

Length = 2\times 17-3

Length = 34-3

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

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4 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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