a used bookstore also started selling used CDs and videos. In the first week the store sold a combination of 40 CDs and videos. They charged $4 CD and $6 per video and the total sales were $180. Determine the total number of CDs and videos sold

Answers

Answer 1
Answer:

\boldsymbol{30} CDs and \boldsymbol{10} videos were sold.

Let \boldsymbol{x,y} denote number of CDs and videos respectively.

Total number of CDs and videos sold =40

x+y=40

      \boldsymbol{y=40-x}

Amount charged per CD =\$4

Amount charged per video =\$6

Also,

Total sales =\$180

4x+6y=180

Divide both sides by 2

          \boldsymbol{2x+3y=90}

2x+3(40-x)=90

2x+120-3x=90

                    \boldsymbol{x=30}

So,

y=40-30

\boldsymbol{y=10}

Hence, 30 CDs and 10 videos were sold.

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Answer 2
Answer: First we must make a system of equations:
c+v=40
4c+6v=180

We can solve this system of equations using substitution
 c+v=40
    -v  -v
_________
   c=40-v

4(40-v)+6v=180
 160-4x+6v=180
-160            -160
________________
        2v=20
v=10

c+v=40
c+10=40
  -10  -10
________
    c=30

So, there are 30 CDs and 10 videos.


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Answers

Answer:

∠C = 37° ,

AB = 26.54 cm ,

BC= 33.27 cm

Step-by-step explanation:

Given that in triangle ABC

∠A = 39°                       AC = 20 cm

∠B = 104°

sum of all the three angles of triangle = 180°

So,    ∠C = 180° - ( ∠A + ∠B)

         ∠C = 180° - (39° + 104°)

         ∠C = 37°

Now Tan 37° = (AC)/(AB)

    Or, AB =  (20)/(tan 37°)

    So, AB = 26.54 cm

Again, Sin 37° = (AC)/(BC)

       So, BC = (20)/(sin 37°)

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Answers

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Answers


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Answers

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Answer:

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Answers

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