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2 years ago

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a block has two red sides, two green sides, one blue side and one yellow side what is the probability that when the block is rol

led it will land green side up

2 answers:

olga55 [171]2 years ago

8 0

Answer:

2/6

Step-by-step explanation:

There are 6 sides, and two are green. That makes it 2/6

makkiz [27]2 years ago

3 0

Answer:

2/6

Step-by-step explanation:

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Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

3 years ago

Need help am being timed pls

goldenfox [79]

What are the answer options?

6 0

1 year ago

1 1 1<br> + +<br> 10 5 10<br><br> + +<br> 11 11 11<br> 11 6

bulgar [2K]

Answer:

186

Step-by-step explanation:

if I am understanding your question correctly

7 0

1 year ago

Read 2 more answers

The top of a square box has an area of 121 cm2. What is the length of one side of the box? A) 9.0 cm B) 11.0 cm C) 15.125 cm D)

tekilochka [14]

B. 11.0 cm, since the area of a square is x^2. 11.0 x 11.0 is 121. So that means one of the sides is 11.0

5 0

2 years ago

Read 2 more answers

5) 3(8+ n) - 15 = 24

scoundrel [369]

•First you multiply parentheses by 3 24+3n-15=24
•then u cancel equal terms 3n-15=0
•Move the constant to the right
3n-15=0
3n=15
•Divide both sides by 3
Answer is n=5 ☺️

8 0

2 years ago