a cage at a pet store has 9 white mice. in how many different ways can Dana choose 3 white mice to buy
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It takes 150 seconds for Qian to complete the track.
Let she runs the track in the clockwise direction.
In 60 seconds, she runs =
th of the track.
Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed th of the track.
Chantel meets Marissa in every 300 seconds.
So, in 60 seconds, she advances Marissa by th of the track.
Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.
ALITER;
Marissa meets Qian in every 60 seconds.
So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.
But, it is given that Chantel meets Marissa in every 300 seconds.
So, in 300 seconds, Qian, Marissa and Chantel meet each other.
x = or x = -
consider the factors of the product 6 × - 4 = - 24 which sum to the coefficient of the x- term ( + 5)
the factors are + 8 and - 3 ( split the middle term using these factors
6x² - 3x + 8x - 4 = 0 ( factor by grouping )
3x(2x - 1) + 4(2x - 1 ) ( take out common factor of (2x - 1) )
= (2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ⇒ x =
3x + 4 = 0 ⇒ x = -