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2 years ago

2. In the equation 5(x - 3) = 25, what should you do after using the Distributive Property?

Mathematics

2 answers:

son4ous [18]2 years ago

7 0

Answer:

umm... This how I learned from the chapter simple equation. Hopefully helps

Step-by-step explanation:

5(x - 3) = 25 we have to find the value of 'x'

so transpose 5 x to the other side = (x - 3) = 25 divided by 5 becuz it was multiplication on the other side so it is equal to = (x - 3) = 5

Now we transpose -3 which is equal to = x = 5 + 3 = 8

so, x = 8

hopefully it helps!!!!!!!

Tanya [424]2 years ago

4 0

Step-by-step explanation:

first use distributive property

like this 5(x-3)=25

5x-15=25

then 5x=25+15

5x=40

5x/5=40/5

x=8

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There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

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so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

2 years ago

Can someone please help me out ASAP I WILL GIVE OUT BRAINLY

SashulF [63]

Answer:

x = 9

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Step-by-step explanation:

First, find x. to do so, set your formula up as

18 = 8x - 54

18 + 54 = 8x

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72/8 = x

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Now that you have x, find your missing side

2x + 1 = y, x

2 * 9 + = y

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2. In the equation 5(x - 3) = 25, what should you do after using the Distributive Property?​

2. In the equation 5(x - 3) = 25, what should you do after using the Distributive Property?