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3 years ago

5

You want to download 34 songs for $.99 each

1 answer:

Korolek [52]3 years ago

4 0

Answer:

If you are trying to find unit price here; $34.34

Step-by-step explanation:

Divide 0.99 by 34. The answer will be a never ending decimal. Round to the nearest hundredth.

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

2 years ago

I need help with d please.

eimsori [14]

The answer is 472m^3

7 0

3 years ago

What are the answers

dlinn [17]

Answer:

See below

Step-by-step explanation:

The ratio of the secants is the same when set up as full length to external length.

Formula

MN/LN = QN/PN

Givens

LN = 22 + 14 = 36

MN = 14

PN = 32

QN = x

Solution

14/36 = x / (32) Multiply both sides by 32

14*32 / 36 = x Combine 14 and 32

448/36 = x Divide by 36 and switch

x = 12.4

Answers

PN (External) = 13 is the closest answer

Length LN = 36

6 0

3 years ago

What is 1/4 divided by 9/10 rewritten with an important fraction?

lutik1710 [3]

Step-by-step explanation:

${:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}$

${:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}$

${:}\hookrightarrow\sf \dfrac {10}{36}$

${:}\hookrightarrow\sf \dfrac {5}{18}$

8 0

3 years ago

Lol help What is 3.5 × 1.2 =

Aleks04 [339]

Answer:

4.2

Step-by-step explanation:

3.5 x 1.2 = 4.2

7 0

3 years ago

Read 2 more answers