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3 years ago

7

you choose at random from the letters a,b,c and d and you roll a number cube once. what are the chances that you get an a and 5?

1 answer:

Keith_Richards [23]3 years ago

7 0

1/24 or 4%

There is a total of 24 outcomes
4 letters • 6 numbers = 24 possible outcomes
There are 6 different outcomes when it comes to each letter.
(a1, a2, b1, b2 etc)
so getting a5 is a 1/24 chance because there 24 outcomes and only one of them is a5

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Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

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Answer:

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Step-by-step explanation:

Given

$3y = 9x - 6$

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Required

The words that describe the equations

Make y the subject in (2)

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Collect like terms

$2y = 4 - 6x$

Divide through by 2

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$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

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Collect like terms

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Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

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