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Setler79 [48]
3 years ago
8

You buy 6 videos on sale. The videos are on sale for $8 and $10. You spend $52. How many $8 videos did you buy?

Mathematics
2 answers:
atroni [7]3 years ago
6 0
You bought 4 video games which will cost 32 and bought 2 movies which cost 20. So if you add 32+20=52. You get $52. Hoped this helped.
OverLord2011 [107]3 years ago
3 0
Set up a system of equations:

x + y = 6
8x + 10y = 52

Where 'x' is the number of $8 videos and 'y' is the number of $10 videos.

x + y = 6

Subtract 'x' to both sides:

y = -x + 6

Plug in '-x + 6' for 'y' in the 2nd equation:

8x + 10y = 52

8x + 10(-x + 6) = 52

Distribute 10 into the parenthesis:

8x - 10x + 60 = 52

Combine like terms:

-2x + 60 = 52

Subtract 60 to both sides:

-2x = -8

Divide -2 to both sides:

x = 4

So you bought four $8 videos.
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3 years ago
PLEASE HELP<br><br>divide. (3x-2)(x-4)-(x-4)(6-5x)<br>/(4-x)(8x-1)​
8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer:  x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

7 0
3 years ago
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