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Fynjy0 [20]
3 years ago
5

A hotel room that is advertised at $120 per night. You notice in the fine print that there will be an additional 18% tax on the

room. How much tax will you pay? How much will you actually be charged per night, including the tax?
Mathematics
1 answer:
Rudiy273 years ago
3 0

The tax and the total per night is calculated with $120 * 118%. You then will get $120*1.18, which is, $141.6. To get the tax alone, you can multiply $120 to 18%, and get $21.6.

Remember that percentages are basically a fraction over 100. (Ex. 18% is 18/100. You can simplify it to 0.18)

It will cost $21.6 in tax each night alone, but will cost $141.6 in total.

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Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
2 years ago
A fruit vendor sells 60 pieces of fruit that are either apples or oranges. There are 12 more apples than oranges.
Hunter-Best [27]

Answer:

a. let x be the number of apples and let y be the number of oranges

x + y = 60

x = y + 12

b. Apples: 24 Oranges: 36

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

6 0
3 years ago
Would appreciate some help thanks
defon

Answer:

f(8) = -9

Step-by-step explanation:

Substitute 8 in for x.

f(8) = -2(8) + 7

f(8) = -16 + 7

f(8) = -9

6 0
3 years ago
Geometry help it’s easy!!!
Ede4ka [16]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which angle has a sine of -1/2 and a cosine of -√3/2
Sergeeva-Olga [200]
\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}
8 0
3 years ago
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