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WITCHER [35]
2 years ago
5

Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of w

ater and 25 sodas, bringing in $110. Sunday, he sold 50 bottles of water and 45 sodas, making $165. What are the prices for each beverage option?
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
4 0

Answer:

$2 for soda and $1.5 for a bottle of water

Step-by-step explanation:

You start by turning both situations into an equation

Let x represent bottles of water and y represent sodas

Saturday:

40x+25y=110

Sunday:

50x+45y=165

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:

50÷40=1.25

You then times the whole equation by -1.25

40x+25y=110

×-1.25

-50x+-31.25y= -137.5

You then add this equation by Sunday's equation

50x+45y=165

-50x+-31.25y=-137.5

          13.75y=27.5

You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring

13.75y=27.5

×1.09 recurring

    15y=30

15y/15=30/15

     y=2

Now that we know y = 2

We can use either Saturday or Sunday's equation to figure out the value of x

Let's use Sunday's:

50x+45×2=165

50x+90=165

50x+90-90=165-90

50x/50=75/50

x=1.5

Let's check our answer with Saturday's equation

40×1.5+25×2=110

This equation is correct

Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda

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Answer:

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Step-by-step explanation:

The mean is the average. We add up all the numbers and divide by the number of numbers.

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Now, Mean:

Mean = 48.81/5 = $9.762

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Step-by-step explanation:

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3 years ago
Y= |x−3| + |x+2| − |x−5|, if x&gt;5<br> I need to know what y equals.
olganol [36]

Answer:

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Step-by-step explanation:

The given function is

y =  |x - 3|   +  |x  + 2|  -  |x - 5|

By the triangle inequality property,

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and the alternate triangle inequality property;

|x - y|  \geqslant  |x|  -  |y|

We apply this property to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  -(  |x |  -  |5| )

Expand parenthesis to get:

y  \geqslant   |x |    - |3|    +  |x |  +  |2|  - |x |   +   |5|

Simplify to get:

y  \geqslant   |x |    - 3+  |x |  +  2- |x |   +   5

Group similar terms to get:

y  \geqslant   |x |  +   |x | - |x |    - 3 + 2+   5

y  \geqslant   |x |   + 4

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y  \geqslant   |5 |   + 4

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y  \geqslant   5  + 4   \\ y  \geqslant   9

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