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pshichka [43]
3 years ago
15

4 questions 50 points(algebra)

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer: 10 L of pure and 20 L of 10%

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

                        <u> Qty </u>            <u>  %    </u>             <u>  Qty * %</u>

Solution 1:          x                 1.00                   1(x)         =      1.00x

Solution 2:     <u>30 - x    </u>         0.10              0.10(30 - x) = <u>3 - 0.10x</u>

Total:                30                0.40               30(0.40)    = 3 + 0.90x

                                                              ⇒        12        = 3 + 0.90x

                                                                        <u> -3       </u>    <u>-3              </u>

                                                                           9        =       0.90x

                                                                     <u> ÷ 0.90    </u>       <u>÷0.90   </u>

                                                                            10       =            x

Solution 1: x    = 10

Solution 2: 30 - x    = 30 - 10   = 20

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

Answer: 16

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

Constraints:  x + 3y ≤ 6

                      x +  y ≤ 4

                             x ≥ 0

                             y ≥ 0

Vertices can be found by graphing the above equations or by solving the system of equations.  Vertices: (0, 2), (3, 1), and (4, 0)

Objective function: F = 4x + 3y

(0, 2): F = 4(0) + 3(2)

            =   0   +   6

           =         6

(3, 1): F = 4(3) + 3(1)

            =  12  +   3

           =       15

(4, 0): F = 4(4) + 3(0)

            =  16   +   0

           =        16

The maximum is 16, which occurs when x = 4 and y = 0

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

Answer: A = 23,000   B = 14,100   C = 8,900

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

Qty:  A + B + C = 46,000   where A = B + C

         x +    x     = 46,000

                2x = 46,000

                  x = 23,000

Section A: 23, 000 seats

Section B: 23,000 - y

Section C: y

Cost:    35A        +         20B          + 15C = 1,220,500

       35(23,000) + 20(23,000 - y) + 15(y) = 1,220,500

        805,000    + 460,000 - 20y + 15y  = 1,220,500

                          1,265,000           -5y      = 1,220,500

                        <u> -1,265,000                     </u>    <u>1,265,000   </u>  

                                                      -5y      =     -44,500  

                                                  <u>  ÷-5       </u>     <u>           ÷-5 </u>    

                                                          y      =      8,900          

Section B: 23,000 - y   = 23,000 - 8.900   = 14,100

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

\left[\begin{array}{ccc}-8&2&5\\4&-9&6\\\end{array}\right]


                                           

MrRissso [65]3 years ago
3 0

Answer:

10 l 20 l

Step-by-step explanation:

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