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katrin [286]
1 year ago
9

The point (4,0) is a solution to this system. (-x+6y=4 (3x + y = 12 true or False

Mathematics
1 answer:
vivado [14]1 year ago
6 0

Answer:

False

Step-by-step explanation:

to determine if (4, 0 ) is a solution to the system, substitute x = 4, y = 0 into the left side of both equations.

If the left side is equal to the right side of both equations then the point is a solution to the system.

- 4 + 6(0) = - 4 + 0 = - 4 ≠ 4

3(4) + 0 = 12 + 0 = 12

since only one equation is true, the point (4, 0 ) is not a solution to the system.

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A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she
kotykmax [81]

Hi there! :)

<u>Answer:</u>

In order to maintain the same ratio, she should sell 18 band posters.


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

<u>Initial ratio:</u>

Ratio is: 105 movie posters for 90 band posters = <u>105 : 90</u>


She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has <u>84</u> movie posters.


In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

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<u>(90 × 84)</u> ÷ 105 = X

<u>7,560 ÷ 105</u> = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 <u>- X</u> = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = <u>72</u> + X

Subtract 72 from each side of the equation → 90 - 72 = 18

<u>18 = X</u>


There you go! I really hope this helped, if there's anything just let me know! :)

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Step-by-step explanation:

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