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igor_vitrenko [27]

4 years ago

14

A shirt originally cost $50.97, but it is on sale for $40.78. What is the percentage decrease of the price of the shirt? If nece

ssary, round to the nearest percent.

1 answer:

Nina [5.8K]4 years ago

6 0

Answer:

20% decrease.

Step-by-step explanation:

difference over original

50.97-40.78= 10.19

diff/orig=sales tax

10.19 / 50.97= 19.99..

19.99 is approximately 20.

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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq

ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Explanation:

The equation is $\frac{3}{\sqrt{17}-\sqrt{2}}$

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

$\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

Multiplying, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}$

Simplifying the denominator, we get,

$\frac{3(\sqrt{17}+\sqrt{2})}{17-2}$

Subtracting, the values of denominator,

$\frac{3(\sqrt{17}+\sqrt{2})}{15}$

Dividing the numerator and denominator,

$\frac{\sqrt{17}+\sqrt{2}}{5}$

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is $\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)$

6 0

3 years ago

Read 2 more answers

I’m confused on this question and I need help

Nataly_w [17]

Answer:

Step-by-step explanation:

Pythagorean Theorem

c^2 = a^2 + b^2

a = 20

b = 15

c = ?

c^2 = 20^2 + 15^2

c^2 = 400 + 225

c^2 = 625 Take the square root of both sides.

√c^2 = √625

c = 25

The third side is 25 cm long.

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Answer:D

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4 years ago

Please help you will get 15 points.

Sedbober [7]

Answer:

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3 years ago