Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64

ANSWER: is there a picture for the question?

Step-by-step explanation:

Answer:

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{1}{7 } + \frac{1}{8} [/tex]

[tex]\sf\longmapsto \: \frac{15}{56} [/tex]

Now, Reciprocal–

[tex]\sf\longmapsto \: \frac{56}{15} [/tex]

[tex]\sf\longmapsto \: 3.73 hours [/tex]

The time taken together Marie and his sister to paint the living room are 3.73 hours or 3 hours and 43.8 minutes.

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour.

Given that,

Marie take 7 hours to paint

1 work → 7 hour

1 hour → (1/7) work

Barbara takes 8 hour

1 work → 8 hour

1 hour → (1/8) work

Let's suppose together they take x hour

1 work → x hour

1 hour → (1/x) work

Now,

1-hour work together = 1-hour work of Marie + 1-hour work of Barbara

(1/x) = (1/7) + (1/8)

(1/x) = (7 + 8)/56

x = 56/15

x = 3.73

x = 3 hour and 0.73 × 60 = 43.8 minutes.

Hence "The time taken together Marie and his sister to paint the living room is 3.73 hours or 3 hours and 43.8 minutes".

For more information about the work and time relation,

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Answer:

1 23 then 70 .2 corrected

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

Answer:

the answer is 3 I think if not than 2

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

Answer:

18

correct me if I'm wrong❌

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

Read more:

https://brainly.com/question/20365394

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

Answer:

The answer in the pictures

Answer:

plz explain simplier

Step-by-step explanation:

Answer:

$75

Step-by-step explanation:

50% is half of the total, meaning that we can take half of $50, then add it to 50. Half of 50 is 25, so 50 + 25 = 75 dollars.

Answer:

should be 40

1.6[3(5(2))-5]

1.6[30-5]

1.6[25]

40

Answer:

-4q+ 40/3

Step-by-step explanation:

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Answer:

1→10

Step-by-step explanation:

12

27

45

105/4

49/2

2/15

2/9

22/45

7/12

1/3

Answer:

9c

Step-by-step explanation:

if you take 8c and add another c, it equals 9c

Answer:

9C

Step-by-step explanation:

Answer:

Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation: I am sure of my answer

Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

Given the expression :

Expressing the numbers as a power of 10 :

To convert the divisor to a whole number :

Multiply both by 100

Expressing dividend as a power of 10 :

Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

Learn more : https://brainly.com/question/18796573

Answer:

99

Step-by-step explanation:

Its negation is greater than -100. Hope this helps!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

99

Step-by-step explanation:

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

11

Step-by-step explanation:

first you add seven plus four and then you get your answer that is eleven