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Monica [59]
3 years ago
15

Josh sold 465 bottles of apple cider and 605 bottles of wine. He made $10,050 altogether. If he sold 465 bottles of apple cider

and only 586 bottles of wine, he would just make $9,822. How much did 605 bottles of wine sell for? $______
Mathematics
2 answers:
kow [346]3 years ago
8 0

Answer:   605 bottles of wine sell for $5,445

Step-by-step explanation:

Hi, we have to write an equation for each case

465 a + 605w =10050

465a+586w=9882

Where “a” is the price of a bottle of apple cider, and “w”is the price of a bottle of wine.

Solving for a in the first equation

465 a + 605w =10050

465a =10050-605w

a= (10050-605w)/465

a= 21.61-1.30w

Replacing "a" in the second equation

465 ( 21.61-1.30w) +586w=9882

10048.65 -604.5w +586w=9882

-604.5w+586w =9882-10048.65

-18.5w=-166.65

w= -166.65/-18.5

w= 9  

Each bottle of wine sells for $9,  

605 bottles:

605x9 = $5,445

Anon25 [30]3 years ago
4 0

Answer:

465a + 605w = $10050

465a + 586w = 9822

465a + 605w = 10050

-465a - 586w = -9822

19w = 228

w= $12 each for wine

465a + 605(12)= 10050

465a + 7260= 10050

465a = 2790

a =$6 each apple cider

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Answer:

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Question 2) 1.7

Question 3) 2.8

Question 4) 8.6

Step-by-step explanation:

Mean absolute deviation is the average distance between the data points from the set to the mean point of the data set. It shows the variability in data or how much the data points are spread.

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The given problem has four sub-parts

Solution 1:

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            =  75

Mean absolute deviation= ( I 78-75 I + I 99-75 I+I 90-75 I + I 80-75 I +

                                             I 55-75 I + I 56-75 I + I 102-75 I + I 88- 75 I +

                                             I 60-75 I + I 42-75 I) /10

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Solution 2:

Mean = (10+13+7+12+9+8+12+10+11+13)/10

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Mean absolute deviation = ( I 10-10.5 I + I 13-10.5 I + I 7-10.5 I + I 12-10.5 I +

                                              I 9-10.5 I + I 8-10.5 I + I 12-10.5 I + I 10-10.5 I +

                                               I 11-10.5 I + I 3-10.5 I) /10

       =   17/10

       = 1.7

Solution 3:

Mean= (1+7+10+5+3+3+6+12+9+4)/10

            =  60/10

            =  6

Mean absolute deviation  = ( I 1-6 I + I 7-6 I + I 10-6 I + I 5-6 I + I 3-6 I +

                                               I 3-6 I + I 6-6 I + I 12- 6 I + I 9-6 I + I 4-6 I) /10

         = (28)/10

        =  2.8

Solution 4:

Mean= (30+46+25+45+18+25+15+32+40+24)/10

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                                               I 40-30 I + I 24-30 I) /10

         = (86)/10

        =  8.6

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Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

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