Ask question

Ask question

All categories

3 years ago

13

The first night in a hotel costs 25 dollars. All additional nights cost 23 dollars. How many nights did we stay at this hotel if

the total bill was 278 dollars?

2 answers:

KiRa [710]3 years ago

6 0

You stayed 11 nights

Pavel [41]3 years ago

5 0

12 nights.

the first night cost $28 and the other 11 nights cost $23.

work:
278 - $25 = 253
253 divided by 23 = 11
11 $23 nights + 1 $25 night = 12 total nights

You might be interested in

Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

4 years ago

PLEASE HELP WILL GIVE BRAINLIEST

leva [86]

Answer:

24cm^2

Step-by-step explanation:

Can I get brainliest plzzzzzz I need it

4 0

3 years ago

Read 2 more answers

Helppppp plz 10points

Advocard [28]

The answer is A!XD

It just seems right!XD

Hope this helped!!!Xd

Can I get brainliest please?

5 0

3 years ago

Read 2 more answers

A pet supply store sells a 20-pound bag of dog food $23.44.Find the unit price.

satela [25.4K]

Answer:

1.172 dollars per pound

Step-by-step explanation:

Given : A pet supply store sells a 20-pound bag of dog food $23.44.

To Find :Find the unit price.

Solution :

Cost of 20-pound bag of food = $23.44

So, Cost of 1-pound bag of food = $\frac{23.44}{20}$

= $1.172$

For unit price we should divide the cost by no. of pounds

So, the error is you have divided the no. of pounds by cost

Hence the unit price is 1.172 dollars per pound

7 0

4 years ago

Write the numbers ten to fifteen in descending order and then circle the prime numbers

AnnyKZ [126]

Answer:

10

11

12

13

14

15

prime numbers:11,13,15

4 0

4 years ago

Read 2 more answers