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3 years ago

If x = 5 and y = 7, evaluate the following expression: 100 – 3(3y - 4x)

Mathematics

2 answers:

shtirl [24]3 years ago

7 0

100 - 3(3 x 7 - 4 x 5)

Simplify

97(21 - 20)

Simplify

97(1)

Now, multiply.

97 x 1 = 97

So the answer to the equation above, is 97.

zheka24 [161]3 years ago

7 0

Answer:

this is your answer. If I'm right so.

Please mark me as brainliest. thanks!!

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What is the reciprocal of 6.5?

Mrrafil [7]

6.5 is equal to 65/10 the reciprocal of that is 10/65=2/13

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3 years ago

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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:

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

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

$\implies 1=P(B\mid A)+P(B^C\mid A)$

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

3 years ago

5 = 1 and 5 in a fraction and w

vovangra [49]

What we want to do first is isolate the variable. To do this we need to multiply each side by 5 to remove the fraction

5 * 5 = 5* $\frac{1}{5}$ w
Simplify the right side
5 * $\frac{1}{5}$ w = 1w
Now simplify the left side
5 * 5 = 25
Then we get...
25 = w

There's your answer!

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3 years ago

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At the city museum, child admission is $5.10 and adult admission is $9.60. On Monday, twice as many adult tickets as child ticke

galina1969 [7]

Answer:

Step-by-step explanation:

The amount of children's tickets is x, while the amount of adults' tickets is 2x

5.1*x- the amount of money from children

9.6*2x= 19.2x- the amount of money from adults

5.1x+19.2x= 558.9

x=23 - child tickets

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3 years ago

Which of the following is the reciprocal of x2 – 2x – 8?

Ann [662]

Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.

If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8

I hope that's help !

6 0

3 years ago