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2 years ago

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A company has an annual picnic for its 1,600 employees and gives a pen with the company logo to each employee. The picnic commit

tee orders 20 boxes of pens. How many pens are there in each box?

1 answer:

topjm [15]2 years ago

5 0

1600÷20=80
there are 80 pens in each box

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If z^2+1/z^2=11 , find the value of z^3-1/z^3,using only the positive value of z-1/z

vredina [299]

Hello,

Let's assume

$t=z- \dfrac{1}{z} \\\\

t^2=z^2-2+ \dfrac{1}{z^2}= 11-2=9==\ \textgreater \ t=3\\\\

t^3=z^3-3z^2* \dfrac{1}{z} +3z* \dfrac{1}{z^2} - \dfrac{1}{z^3} \\\\
=z^3 - \dfrac{1}{z^3} -3(z-\dfrac{1}{z})\\\\
z^3 - \dfrac{1}{z^3}=t^3+3t=3^3+9=27+9=36


$

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2 years ago

A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calcula

slega [8]

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = $\frac{80}{100} = \frac{4}{5}$

This means that the

Sale Price= $\frac{4}{5}$ x 350 = 280 AED

6 0

3 years ago

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Find out the cylinders volume whose height is 3 cm and radius 5cm

Studentka2010 [4]

Volume = πr²h

Volume = π(5)²(3)

Volume = 75π = 235.62 cm³ (nearest hundredth)

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Answer: Volume = 235.62 cm³.
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3 years ago

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Elena has more roses than Lin. Lin has 8 roses and Elena has x roses. Which expression represents the number of roses Elena has?

yanalaym [24]

Excess greater than or equal to eight

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2 years ago

Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles direct

frosja888 [35]

Answer:

He should travel directly

Step-by-step explanation:

Given

$x = 0.5$ --- East

$y =1$ --- North

If he goes through east north direction, the distance (d) traveled is:

$d = x + y$

$d = 0.5 + 1$

$d = 1.5 mile$

If he travels directly, the distance (d) is:

$d = \sqrt{x^2 + y^2}$ ---- Pythagoras theorem

$d = \sqrt{0.5^2 + 1^2}$

$d = \sqrt{0.25 + 1}$

$d = \sqrt{1.25}$

$d = 1.12mile$

By comparison, he will travel the shortest distance if he travels directly because $1.12 < 1.5$

<em>Hence, he should travel directly</em>

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2 years ago