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shusha [124]
3 years ago
14

Mal downloads 4 songs each week for 5 weeks.Then he sorts the songs into equal groups.There are 10 songs in each group.How many

groups are there?
Mathematics
2 answers:
12345 [234]3 years ago
8 0
4(5)= 20

20/10= 2

There are 2 groups of songs.

Hope this helps!
Artemon [7]3 years ago
7 0
There are 2 groups cause 4x5=20 then 20 divided by 2 is 10 so the answer is 2
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Tell whether x and y show direct variation 5y=x
Over [174]
I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant
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Simplify. (-2)^-3<br> A.-8<br> B.-1/8<br> C.1/8<br> D.8
DiKsa [7]

ANSWER

{( - 2)}^{ - 3} =- \frac{1}{ 8}

EXPLANATION

We want to simplify;

{( - 2)}^{ - 3}

Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

{( - 2)}^{ - 3}  =  \frac{1}{{( - 2)}^{ 3}}

We multiply out to get,

{( - 2)}^{ - 3}  = \frac{1}{{- 2} \times  - 2 \times  - 2}

{( - 2)}^{ - 3}  =  \frac{1}{ - 8}

The correct choice is B.

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Help!! What is the point in the feasible region maximizes the objection function?
svlad2 [7]

First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. <em>I am going to find them by graphing.</em>

x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)

now graph y ≤ 3.  a vertex is at (0, 3)

now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).

                  0 = -2x + 5

                  -5 = -2x

                   \frac{5}{2} = x     So, the vertex is  (\frac{5}{2} , 0)

Next, input the coordinates of the vertices into the objective function.

C = -6x + 5y

(0, 0): C = -6(0) + 5(0)

             =    0    +   0

             =          0

(0, 3): C = -6(0) + 5(3)

             =    0    +   15

             =          15

(1, 3): C = -6(1) + 5(3)

             =  -6  +  15

             =       9

(\frac{5}{2} , 0): C = -6(\frac{5}{2}[/tex]) + 5(2)

             =  -15  +  10

             =       -5

The maximum is C = 15 which occurs at vertex (0, 3)

Answer: A


                 


6 0
3 years ago
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