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Finger [1]
3 years ago
8

Luke has 1/3 of a package of dried apricots. He divides the dried apricots equally into 3 small bags. Luke gives one of the bags

to a friend and keeps the other two bags for himself. What fraction of the oringial package of dried apricots did Luke keep for himself?
Mathematics
2 answers:
Ksju [112]3 years ago
4 0
Answer: 2/9


Explanation:

\cfrac{1}{3} \div 3 =  \cfrac{1}{3} \times  \cfrac{1}{3} = \cfrac{1}{9}

\cfrac{1}{3} -  \cfrac{1}{9} =  \cfrac{3}{9} -  \cfrac{1}{9} =  \cfrac{2}{9}
Nitella [24]3 years ago
3 0
1/3 ÷ 3 = \frac{1}{9} for each

Luke will stay with a total of:

\frac{1}{9} (x 3) = \frac{3}{9}

\frac{3}{9} -  \frac{1}{9} =  \frac{2}{9}

Hope it helped!
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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
3 years ago
I NEED HELP:
Dmitry_Shevchenko [17]
I believe it's b.

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Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

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3 years ago
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<h3>Answer:   1/6</h3>

Work Shown:

x = 0.1666666...

10x = 1.666666...

100x = 16.666666...

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90x = 15

x = 15/90

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What is the difference between adjacent and vertical
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Answer:

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