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3 years ago

You roll a die and pick a marble at the same time.

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

4/18
With a six-sided die and 3 marbles there are 18 different outcomes.
(6 numbers • 3 marbles = 18 outcomes)
1/2 of the die is even (2,4,6) so that’s already a 3/6 chance of getting an even number. But since there is only one red marble there is a 1/3 chance of picking it. 3+1=4. 4/18

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Elimination_4x_2y=14 _10x+7y=_24

Gnesinka [82]

Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

$-28x-14y-20x+14y=98-48$

$-28x-20x-14y+14y=50$

$-8x=50$

Dividing both the sides by -8 we get:

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

Subtracting both sides by 25 we get:

$-2y=-11$

Dividing both sides by -2 we get:

$y=\frac{11}{2}$

Therefore, the answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

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3 years ago

What is another way to write the equation 7/8x + 3/4=-6?

kari74 [83]

You can write it as 7/8x = -6 - 3/4 I hope this helps

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2 years ago

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vladimir2022 [97]

Answer:

396

Step-by-step explanation:

Difference of two squares is breaking down numbers into pieces and using the distributive property to solve. The pieces should be in the form (a-b)(c+d).

Write 22 as (20 + 2) and 18 as (20-2).

(20+2)(20-2) = 400 + 40 - 40 - 4 = 400 - 4 = 396

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3 years ago

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hram777 [196]

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