Including 8% sales tax, an inn charges $162 per night. Find
the inn's nightly cost before the tax is added.

Answers

Answer 1

Answer:

$150

Step-by-step explanation:

x + 0.08x = 162

1.08 x = 162

x = 150

Answer 2

The inn's nightly cost before the tax is added is $150.

Let's denote the inn's nightly cost before tax as "x." We are given that the inn charges $162 per night, including an 8% sales tax. This can be represented as an equation:

Total cost = Nightly cost before tax + Sales tax

$162 = x + 0.08x

Now, we can solve for "x":

$162 = 1.08x

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150.

We're asked to find the inn's nightly cost before the tax is added. Let's denote this cost as "x."

We are given that the total cost, including the 8% sales tax, is $162 per night. We can set up an equation using this information:

Total cost = Nightly cost before tax + Sales tax

Mathematically, this can be expressed as:

$162 = x + 0.08x

The 0.08x represents the 8% sales tax, which is 8% of the nightly cost before tax.

Now, we can combine the x terms on the right side of the equation:

$162 = 1.08x

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.08:

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150. This means that if there were no sales tax, the inn would charge $150 per night. The 8% sales tax is then added to this base cost to reach the total of $162.

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Answer:

8n+32 Thats if youre simplyifying it

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Step-by-step explanation:

[tex]thank \: you[/tex]

ANSWER:
x=30°

EXPLANATION:
the line adds up to 180. subtract 90 and 60 from 180 to get 30.

Suppose c = 5 and A = 85 degrees.

Answers

Answer:

a = 4.98

b = 0.44

B = 5

Concept:

Here, we need to know the idea of the Pythagorean theorem and basic trigonometry ratios.

Pythagorean theorem: a² + b² = c²

a = legb = legc = hypotenuse

Trigonometry ratios:

Sine = Opposite / Hypotenuse = O/HCosine = Adjacent / Hypotenuse = A/HTangent = Opposite / Adjacent = O/A

Solve:

**Disclaimer** The question did not clarify which place did it required to be rounded to as some of the values are infinite. I rounded to the hundredth place. If it is fine, then you may refer to my answers. If it is not, then you may tell me and I'll redo it.

Given information

c = 5

A = 85°

PART ONE: Find the value of [a]

sin (A) = Opposite / Hypotenuse = a / c

sin (85) = a / 5

a = 5 · sin (85)

a = 4.98

PART TWO: Find the value of [b]

cos (A) = Adjacent / Hypotenuse = b / c

cos (85) = b / 5

b = 5 · cos (85)

b = 0.44

PART THREE: Find the value of [B]

Since the triangle as a right angle sign, meaning it is a right triangle.

Therefore, the corner angle is 90°.

90 - 85 = 5°

Hope this helps!! :)

Please let me know if you have any questions

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Answers

Answer:

[tex]4\sqrt{6}[/tex]

[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]

Step-by-step explanation:

Answer: 4sqrt(6)

Explanation:

Sin(theta) = opp/hyp => hyp = opp/sin(theta)

Find opp:

opp = sqrt(6^2 + 6^2)
= sqrt(72)
= 6sqrt(2)
= 6 x 1.41

Hyp(also is x) = (6 x 1.41)/Sin(60°)
= (6 x 1.41 )/0.86
= 9.83
= 10 (round up)

And 4sqrt(6) = 9.79 = 10 (round up)

Thus I concluded that x = 4sqrt(6)

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Answers

Answer:

The circle has like an equation: (x+3)²+(y-2)²=r²

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Answers

Answer:

180° is the measures of the supplement Step-by-step explanation:please click on star

Answer:

x=60°(Suppliment)

Put the above value =60°

second angle=120°

SEE the IMAGE FOR SOLUTION

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Answer:

b) -4xy

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Step-by-step explanation:

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The double bar graph shows how long, on average, different
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Answers

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Step-by-step explanation: I got it right on the test :)

The animal with the least difference is cheetah with a value of 5

From the double bar chart attached :

Life span in wild is = blue bar

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Calculating the approximate difference between the two bar values as obtained from the graph :

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POLAR = 35 - 20 = 15

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The animal with the least difference between it's span in the wild and in captivity is CHEETAH with a value of 5.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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[tex]\frac{change in y }{change in x}[/tex]

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Answers

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Answers

Answer:

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there are 14 math teachers and 26 science at school today what is the ratio of math teachers and science at school?

Answers

Answer:

Answer is 7:20

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Step-by-step explanation:

Answer:

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Answers

Answer:

1466 feet

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Answers

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Answer:

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Answer:

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Answers

Answer:

Perimeter = 16 cm

Step-by-step explanation:

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amount of water in jars at the end of the investigation
B.
air temperature
C.
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D.
amount of water placed in jars

Answers

Answer c Light exposure

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Step by step if possible

Answers

Answer:

Step-by-step explanation:

First multiply the -5 to (a+6)

The equation will look like this

-21 - 8a = -5a -30

then move the numbers around where you have a value times on one side, and a normal value on the other

add -5a to -8a, and add -21 to -30

the equation should look like this:

-13a = -51

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Answer:

a = 3

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Answers

Answer:

x=31.25

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250=22h-14h

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