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Ber [7]
3 years ago
8

PLEASE PLEASE HELP ME!! NEEDING HELP BADLY!

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Each paper cup is a cone.
The volume if a cone is      (1/3) (pi) (radius)² (height)

Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.

So, the volume of these paper cups is 

                                           (1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
=====================

It says that tons of lemons have been sacrificed, and you have
about  37,850  cm³ of lemonade.

How many cups will that fill ?

       37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================

How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.

1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough

You need to buy <em>5 packs = <u>250 cups</u></em>.
=================================

It started raining, so you only sold 80% of the lemonade that you had.

80% means 0.80
"of" means "times"

You started out with 37,850 cm³ .

You sold  (0.8) x (37,850 cm³) = about  <u>30,280 cm³</u> of it.

How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)

         30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.

You bought 250 cups to start out.
You sold 164 cups of lemonade.

You had  (250 bought - 164 used) =

               <em>86 clean, unused paper cups, still in the wrappers, left over</em>.


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Hey there! I'm happy to help!

We see that at AB is halfway across our line. We see that AC is the total line.

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We first will subtract our x values.

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Have a wonderful day and keep on learning! :D

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Answer:  \displaystyle y= \frac{2\text{x}}{4\text{x} - 1}

============================================

Work Shown:

8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\

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The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

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