HELP!! What is the value of x??

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Given:

A coat was marked down by 60 percent from its original price of $99.

Rate of sales tax = 8%

To find:

The final cost of the coat after including tax.

Solution:

We have,

Original price = $99

Rate of marked down = 60%

Rate of sales tax = 8%

Marked price = Original price - 60% of original price.

[tex]\text{Marked price}=99-\dfrac{60}{100}\times 99[/tex]

[tex]\text{Marked price}=99-59.4[/tex]

[tex]\text{Marked price}=39.6[/tex]

Now,

Final cost = Marked price + Sales tax

[tex]\text{Final cost}=39.6+\dfrac{8}{100}\times 39.6[/tex]

[tex]\text{Final cost}=39.6+3.168[/tex]

[tex]\text{Final cost}=42.768[/tex]

[tex]\text{Final cost}\approx \$42.77[/tex]

Therefore, the correct option is B.

Answer:

Its B

Step-by-step explanation:

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Answer:

no. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12

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Answer:

what?

Step-by-step explanation:

karma

Answer: x = 7

Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.

4x + 17 = 45  Subtract 17 from both sides.

4x = 28   Divide both sides by 4

x = 7

Answer:

THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.

Step-by-step explanation:

A

The equation has one solution, y= 0

Answer:

x = 816 kilometers per hour.

Step-by-step explanation:

Given the following data;

Distance traveled by Kirk = 450km

Distance traveled by Thor = 408 km

Let the average driving speed of Thor be x.

Translating the word problem into an algebraic equation;

k = x + 6

We know that the time taken to cover a distance by an object with speed is given by the formula;

Time = distance/speed

Substituting into the equation, we have;

408/x = 405/x + 6

Cross-multiplying, we have;

408*(x + 6) = 405*x

408x + 2448 = 405x

408x - 405x = 2448

3x = 2448

x = 2448/3

x = 816 kilometers per hour.

Answer:

(b)

[tex]\displaystyle \frac{2005}{2006}[/tex]

Step-by-step explanation:

(a)

First, we have to prove that:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)}[/tex]

Operate:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{x+1-x}{x(x+1)}[/tex]

Simplifying:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)} [1][/tex]

(b)

Now we use the above expression to find the sum:

[tex]\displaystyle S=\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+...+\frac{1}{2005\times 2006}[/tex]

Let's use [1] for each term of the sum:

[tex]\displaystyle \frac{1}{1\times 2}=\frac{1}{1}-\frac{1}{2}[/tex]

[tex]\displaystyle \frac{1}{2\times 2}=\frac{1}{2}-\frac{1}{3}[/tex]

[tex]\displaystyle \frac{1}{3\times 4}=\frac{1}{3}-\frac{1}{4}[/tex]

[tex]\displaystyle \frac{1}{2005\times 2006}=\frac{1}{2005}-\frac{1}{2006}[/tex]

Substituting:

[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}[/tex]

Note the terms 1/2 and -1/2, 1/3 and -1/3, etc. are canceled out, leaving only the first and last terms:

[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2006}=\frac{2006-1}{2006}[/tex]

[tex]\boxed{\displaystyle S=\frac{2005}{2006}}[/tex]

Answer: NA and Rb and there are 20 protons in calcium!

Step-by-step explanation:

Answer:

No. of protons = 20

No. of electrons = 20

No. of neutrons = 20

Step-by-step explanation:

Part 1 :

Na, K and Rb are in the same group.

So, K and Rb are the two elements that have the same properties as sodium ( Na ).

Part 2 :

Atomic Number of Calcium = 20

Note :

Atomic Number = No. of protons

Therefore,

No. of protons = 20

Note :

No. of neutrons = No. of protons.

Therefore,

No. of neutrons = 20

Calcium is the 20th element, with 20 protons. Since a stable atom has a net charge of 0, it must have 20 electrons.

Answer:

2/3

Step-by-step explanation:

(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3

Answer:

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –16°C is colder than –12°C.  

When the temperature is 7° below freezing, the temperature is –7°C.

A temperature of 10°C is colder than –12°C.

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –8°C is colder than –12°C.

When the temperature is 7° below freezing, the temperature is –7°C.

Answer:

[tex]\frac{3\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )

= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]

= [tex]\frac{3\sqrt{2} }{2}[/tex]

Answer:

4 inches

Step-by-step explanation:

1 inch * 10 feet / 2.5 feet = 4 inches

Answer:

11+p-3 or 3+p-11

Step-by-step explanation:

depending if the p is negative or positive

Answer:

1/2x + 5

Step-by-step explanation:

The y intercept is 5 & the slope is already given!

Answer:

96 people

Step-by-step explanation:

24÷100 × 400=96

Answer:

m=n

Step-by-step explanation:

i am not 100% sure what the answers would be but it would me m=n

Answer:

[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]

Step-by-step explanation:

The standard form of a complex number:

[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]

[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]

Answer:

[tex]r = 43.35[/tex]

Step-by-step explanation:

Given

[tex]Current\ Rent = r[/tex]

[tex]Increment = 15\%[/tex]

[tex]New\ Rent = \$51[/tex]

Required

Determine the value of r

The value of r can be set up percentage increase formula as follows:

[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]

Substitute values in the above equation

[tex]15\% = \frac{51 - r}{51}[/tex]

Cross Multiply

[tex]51 - r = 15\% * 51[/tex]

Convert percentage to decimal

[tex]51 - r = 0.15 * 51[/tex]

[tex]51 - r = 7.65[/tex]

And the value of [tex]r\ is\ calculated\ using:[/tex]

[tex]r = 51 -7.65[/tex]

[tex]r = 43.35[/tex]

Hence, Cody's current rent is $43.35 monthly

Answer:

1 is 3.5

2 is 480

3 is 15

4 is 2.5

5 is B and D

Answer:

350/ 10 = 35

Step-by-step explanation:

hope it helps!

........

Answer:

mean= 32+41+28+54+35+26+23+33+38+40/10

mean=350/10

mean= 35

Answer:

44

Step-by-step explanation:

(50+5)=55x.08= 4.4

55+4.4= 59.4

Answer:

$59.40

Step-by-step explanation:

$55 + $4.40 (8% tax) = $59.40

Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and  7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.  

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

Answer:

A) Domain: All real numbers, excluding zero        (-∞, 0) ∪ (0, ∞)

Range: All real numbers, excluding zero      (-∞, 0) ∪ (0, ∞)

Step-by-step explanation: