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Which of the following options have the same value as 60\%60%60, percent of 949494?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
0.06\cdot 940.06⋅940, point, 06, dot, 94

(Choice B)
B
0.6\cdot 940.6⋅940, point, 6, dot, 94

(Choice C)
C
\dfrac{3}{5}\cdot 94
5
3
​ ⋅94start fraction, 3, divided by, 5, end fraction, dot, 94

(Choice D)
D
60\cdot 9460⋅9460, dot, 94

(Choice E)
E
\dfrac{60}{100}\cdot 94
100
60
​ ⋅94start fraction, 60, divided by, 100, end fraction, dot, 94

Respuesta :

Answer:

The correct options are:

        Choice A

       Choice C

and  Choice E

Step-by-step explanation:

We are asked to find the value of:

                   60% of 94

We know that: it is represented as:

  [tex]60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94[/tex]

Choice A)

           [tex]0.06\cdot 940[/tex]

We know that:

    [tex]0.6\times 94[/tex] could also be written as:

[tex]0.06\times 940[/tex]

Since we multiplied and divide by 10 such that:

[tex]=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940[/tex]

Hence, option: A is correct.

Choice B)

                  [tex]0.6\cdot 940[/tex]

This option is incorrect.

Since by choice A we get that the correct expression is:   [tex]0.06\cdot 940[/tex]

Choice C)

             We get:

        [tex]\dfrac{3}{5}\cdot 94[/tex]

This option is correct.

Since,

[tex]60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94[/tex]

Choice D)

                             [tex]60\cdot 94[/tex]

This option is incorrect because the actual expression is:

         [tex]0.6\cdot 94[/tex]

Choice E)

               [/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

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