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Papessa [141]
3 years ago
12

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

blue marbles are in the bag? Explain your reasoning.
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

126

Step-by-step explanation:

21 + 4 = 25  (blue plus white marbles)

150/25 = 6 (all the marbles divided by how many we know are white and blue)

21 x 6 = 126  

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pishuonlain [190]

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3 years ago
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci
sveta [45]

Answer:

x  =  500 yd

y  =  250 yd

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Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

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2 years ago
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Answer:

Here is the full proof:

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Maslowich
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