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krok68 [10]
3 years ago
14

Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:   33

<u>Step-by-step explanation:</u>

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then   4x   =    3x    + 9

-->        x    =  9

So, Adhy = 3x  = 3(9)   = 27

     Ben   = 4x   = 4(9)   = 36

*************************************************************

The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? <em>by multiplying by 12</em>

Ben  :  Clayson

<u>3 x 12</u>    <u>5 x 12</u>

 36          60

So, Clayson = 60

***********************************************************

The difference between Adhy and Clayson is:

Clayson - Adhy

   60     -    27    = 33

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what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
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Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



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3 years ago
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Answer:

No Solutions

Step-by-step explanation:

Step 1:

5x + 9 = 2x + 7 + 3x - 15  Equation

Step 2:

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Step 3:

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Answer:

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Hope This Helps :)

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2 years ago
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bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

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x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

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substitute

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substitute in the equation

y=3,000(1+0.0488)^{x}

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For x=16 hours

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y=3,000(1.0488)^{16}

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3 years ago
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