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3 years ago

−5(p+3/5)=−4 solve for p

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

Step-by-step explanation:

-5(p+3/5)= -4 distribute

-5p -3 = -4 addition

-5p = -1 division

answer = .2

defon3 years ago

3 0

Answer: p = 1/5

Step-by-step explanation:

-5(p + 3/5) = -4

Distribute

-5p - 3 = -4

Add 3 to both sides

-5p = -1

Divide by -5 on both sides

p = 1/5

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At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price

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Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

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3 years ago

If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

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1 year ago