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KatRina [158]
3 years ago
7

He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wan

ts to use linear programming techniques to optimize his income. Part A Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables. Sketch a graph of your model. Part B While Steven would like to spend most of his time training, the number of hours spent training cannot exceed twice the number of hours doing data entry support. Steven must spend at least 10 hours each week on data support. Construct a model to show the constraints. Sketch a graph of your model. Part C Find the vertices of the feasible region. Show your work or explain how you found the coordinates. Part D What is the maximum possible amount of money Steven can earn in a week given the constraints? Round to the nearest dollar. Validate your solution to assess the reasonableness of you Part E The number of hours Steven worked one week resulted in a gross income of $800. From this, a portion was withheld for benefits, retirement, and taxes. The total amount withheld from Steven’s check was $264. The amount withheld for taxes was twice the amount withheld for retirement, and the amount withheld for benefits was $24 less than the sum of retirement and taxes. Construct a system of equations that can be used to find the amount of benefits, retirement, and taxes. Be sure to define your variables. Part F Solve the system from Part E. Validate your solution to assess the reasonableness of your model.
Mathematics
2 answers:
boyakko [2]3 years ago
8 0

............................................................

DiKsa [7]3 years ago
8 0

Answer:

Step-by-step explanation:

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The length of the radius of a bicycle wheel is 13 in. Which of the following is closest to the distance the wheel will travel in
chubhunter [2.5K]

Answer:

Step-by-step explanation:

r=13in

Perimeter of a circle is 2πr

P=2×22/7×13

P=81.71in.

If it will make 3 revolution then it will have move 3 times it perimeter

3×81.71

245.14in

The distance the wheel will traveled is 245.14in

4 0
3 years ago
Enter the missing numbers in the boxes to complete the table of equivalent ratios of time to distance.
andre [41]
Answer:  Here is the complete table, with the filled in values:
______________________________________________________________
Time (h)    Distance (mi)
    3                2 
    9                6
   12                8
   18               12
___________________________________________________

Explanation:
___________________________________________________
Let us begin by obtaining the "?" value; that is, the "distance" (in "mi.") ;
         when the time (in "h") is "18" ; 
___________________________________________________

12/8 = 18/?  

Note: "12/8 = (12÷4) / (8÷4) = 3/2 ;

Rewrite:  3/2 = 18/? ;  cross-multiply:  3*? = 2 * 18 ; 
                                                                        3*? = 36 ;

                                                                      Divide each side by "3" ;
                                                                            The "?" = 36/3 = 12 ;

So, 12/8 = 18/12 ;

The value: "12" takes the place for the "?" in the table for "distance (in "mi.);
                              when the "time" (in "h") is "18".
__________________________________________________________
Now, let us obtain the "? " value for the "distance" (in "mi.");
                when the "time" (in "h") is:  "9" .

12/8 = 9/? ;  Solve for "?" ;

We know (see aforementioned) that "12/8 = 3/2" ; 

So, we can rewrite:  3/2 = 9/? ;  Solve for "?" ; 

Cross-multiply:  3* ? = 2* 9 ;    3* ? = 18 ;  
                                                           Divide each side by "3" ;
                                                    to  get:  "6" for the "?" value.

When the time (in "h") is "9", the distance (in "mi.") is "6" .
____________________________________________________
Now, to solve the final "?" value in the table given.

9/6 = ?/2 ;  Note:  We get the "6" from our "calculated value" (see above problem). 

9/6 = (9÷3) / (6÷3) = 3/2 ;  

So, we know that the "?" value is:  "3" .

Alternately:   9/6 = ?/2 ; 

Cross-multiply:  6*? = 2*9 ;   6 * ? = 18 ;  Divide each side by "6" ;
                                                               to find the value for the "?" ; 
                                                                    "?" = 18/6 = "3" .

When the "distance" (in "mi.") is:  "2" ;  the time (in "h") is:  "3" .
____________________________________________________
Here is the complete table—with all the values filled in:
____________________________________________________

<span>Time (h)    Distance (mi)
____________________________________________________
    3                2 
    9                6
   12                8
   18               12
____________________________________________________
</span>
6 0
3 years ago
20. 35 g of flour is used for making a muffin. Anajulie needs to prepare 700 muffins. She has 10.8 kg of flour. How much more fl
Sergeeva-Olga [200]

Step-by-step explanation:

since for one muffins we need 20.35 g of flour

then for 700 muffins we need 20.35×700=14245g

14245g= 14.245kg

since she has 10.8kg then she needs extra (14.245-10.8)kg

=3.445kg

4 0
2 years ago
Read 2 more answers
Divide. 6 by 3/5 PLEASE LOL
qaws [65]

Answer:

6 divided by 3/5 is 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2x-10+x-6=2<br> combing like terms..
maria [59]
First you will combine the “x’s” so x+2x=3x then you would add 10 and 6 16 and subtract it to move it to the other side of the = so 2-16= -14 then you would divide 3x and -14 by 3 then there is your answer hope this helps
8 0
2 years ago
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