Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.

Answers

Answer 1

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x[/tex]


Related Questions

Which expression is equivalent to 4c+ c- 2c?​

Answers

Answer: 3c

Step-by-step explanation: add 4 to 1 and take away 2.

On the first day of ticket sales you sold 3 adult tickets and 1 student ticket for a total of $38. You took in $52 on the second day by selling 3 adult tickets and 2 student tickets. On the third day you forgot what the price was for each because you lost the pricing sheet. Find the price of the adult and student ticket. Answer ( adult, student)

Answers

Answer:

adult 8 dollars and student 14 dollars

Step-by-step explanation:

52 - 38 = 14 this gives you the student ticket

14 x 2 = 28 - 52 = 24 ÷ 3 = 8 which is adult ticket

Hope this helps!

Pls mark brainliest

10 added to the product of g and y?

Answers

Answer:

10gy

Step-by-step explanation:

10×g×y

That's all no need to stress

write the standard form of the equation of each line.

y+1/2x=0

Answers

2y+x=0

Hope this helps :)

I originally solved for the wrong linear equation, but you got the correct answer from someone else. So, I honestly don't have the energy to type a step by step for a question that someone else has already covered. Instead, I'm here wasting my energy on composing an apology for writing the equation in y-intercept form instead of standard. My deepest regards and apologies.

Have a lovely life :)

Melanie recently hired an electrician to do some necessary work. On the final bill, Melanie was charged a
total of $892. $485 was listed for parts and the rest for labor. If the hourly rate for labor was $37, how many hours of labor was needed to complete the job? *please write equation and answer!

Answers

Equation: 37x+485=892
Answer: X=11

the equation should be 35x+485=892

and the answer would be $11.63

Shania wants to purchase a book bag with an original price of $28.00. She also bought a necklace for $35.75. There is a storewide sale of 20% off and a tax of 7%. What would be the total price after discount and tax?

Answers

Answer:

47.43

Step-by-step explanation:

Please consider brainliest. Bye!

Answer:

Your answer is 47.43 or 46.54.

Step-by-step explanation:

First we will add the prices up it equals 63.75$.

The sale of 20% = 63.75 x 20% = 12.75

63.75 - 12.75 = 51

Now we calculate the tax

51 x 7% = 3.57

51 - 3.57 = 47.43

The total is 47.43.

Or you could at the percentages up and subtract.

63.75 - 27% = 17.21.

63.75 - 17.21 = 46.54

What is the solution to this equation? (1/27)^2-x=9^3x

Answers

Answer:

= 1/532170

Step-by-step explanation:

Which numbers make a true statement when placed in the box?

8.035< □

Select each correct answer.


8.028

8.305

8.507

8.135

Answers

Answer:

8.305, 8.507, 8.135

Step-by-step explanation:

8.035 < 8.507

8.035 < 8.135

8.035 < 8.305

8.035 > 8.028

1. Red Bird Cruises charges $85 per day plus a one-time fee of $75. King Cruise charges
$100 per day plus a fee of $30. Write and solve an equation to determine for what number
of days the charges for the cruises will be the same?

Answers

n= days for cruises to be equa
851 + 75 = 100n + 30
-85n
85n
75=151-39
45:457
1=3 day the cost will
be equal

Find the surface area of a rectangle prism with length of 4.7 inches width of 6.4 inches in height of 8.2 inches

Answers

Answer: 242.2 in2

Step-by-step explanation: this would be the surface area/area.

242.2 in 2 I’m not to positive but I think it’s that

Set B is the set of positive two-digit odd numbers greater than 49 that are divisible by 5.

Answers

Answer:

B = {55, 65, 75, 85, 95}

Step-by-step explanation:

A set is a list or group of numbers. We use these { } squiggly brackets to contain the list of numbers. Two-digit numbers are 10 to 99. But they said we're starting from 49. So our list will have only numbers between 49 and 99. BUT, they also said divisible by 5. Numbers divisible by five end with a 0 or 5...so, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95...BUT: they also said ODD numbers. So we only keep the numbers ending in 5.

Finally, we end up with B = {55, 65, 75, 85, 95}

The set B is  { 55, 60, 65, 70, 75, 80, 85, 90, 95}

What are sets?

A set is a collection of elements or numbers or objects, represented within the curly brackets { }.

For example: {1,2,3,4} is a set of numbers.

Given statement:

Set B is the set of positive two-digit odd numbers greater than 49 that are divisible by 5.

So, the two digit number that greater than 49 and divisible by 5 are

55, 60, 65, 70, 75, 80, 85, 90, 95.

Hence, set B= { 55, 60, 65, 70, 75, 80, 85, 90, 95}

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ2

A train can travel 402 miles on 201 gallons of gas. how far can the train go on 10 gallons?

Answers

Answer:

20 miles

Step-by-step explanation:

[tex]\frac{Miles}{gallons}[/tex]

402/201=2

10 x 2=20

Hence, The Train can go 20 Miles on 10 gallons

Multiply 2 1/2 x 1/3 you can use the tool to help you

Answers

Answer:

5/6

Step-by-step explanation:

First, let's convert all mixed fractions into decimals.

2 1/2 x 1/3=> {(2 x 2) + 1}/2 x 1/3=> {4 + 1}/2 x 1/3=> 5/2 x 1/3=> 5/6

Hence, the solution to the multiplication problem is 5/6.

Answer:

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

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

[tex] =\frac{4 + 1}{2} \times \frac{1}{3} [/tex]

[tex]= \frac{5}{2} \times \frac{1}{3} [/tex]

[tex] =\frac{5 \times 1}{2 \times 3} [/tex]

[tex] =\frac{5}{6} [/tex]

the perimeter of a right angle triangle is 24 cm and its area is 24 cm2 find the side of the triangle​

Answers

Answer:

The side of the triangle is the 32cm because its important to understand when the say side they mean the mean or mabey even the median

Step-by-step explanation:

Help with those 3…. Questions

Answers

how did u get into college if u dont know this ??

Write the equation of the following line in slope-intercept form.

Answers

Answer:

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.

Change to a decimal. Round to hundredths if necessary.
1 5/8

Answers

Step-by-step explanation:

1 5/8 cam be written as 13/8

now,

13/8 = 1.625

after rounding it in hundred so,

it's is 1.63

HOPE THIS HELPS YOU !

Simplify the following expression:
-5a + 3b - (-2а) - 7b
Show me how you do it please.

Answers

Answer:

- 3a - 4b

Step-by-step explanation:

note that - (- ) = + and + (- ) = -

- 5a + 3b - (- 2a) - 7b

= - 5a + 3b + 2a - 7b ← collect like terms

= (- 5a + 2a) + (3b - 7b)

= - 3a + (- 4b)

= - 3a - 4b

Please show work thank you math experts

Answers

Answer:

See below

Step-by-step explanation:

1) The distribution is skewed left because the majority of the data lies in the left tail.

2) Given what we answered in #1, the mean is going to be the closest of the three measures of central tendency, with the median behind the mean, and the mode behind the median.

3) An outlier is a piece of data that is furthest away from of a set of observed data.

Solve for G

3g + 12 = 5 (g - 2) plssssss​

Answers

3g+12=5g-10
3g-5g=-10-12
-2g=-22
g=11

Midsegments of Triangles:

What is the value of x?

15
24
27
30

Answers

Answer:

x = 30

Step-by-step explanation:

We know that:

II = 15 (Both are parallel and are equal)2II = x

Solution:

2II = x=> 2(15) = x=> 30 = x

Hence, the value of x is 30 units.

6(2x – 4) = 10 – 8x Identify the number of solutions for each equation (one, none, or infinitely many)​

Answers

Answer:

one solution: x = 1.7

Step-by-step explanation:

6(2x - 4) = 10 - 8x

Multiply brackets:  12x - 24 = 10 - 8x

Add 8x from both sides:  20x - 24 = 10

Add 24 to both sides:   20x = 34

Divide both sides by 20:  x = 1.7

Therefore, one solution:  x = 1.7

Given that PQRS≅WXYZ, find the corresponding parts.

Answers

Answer:

wz is the corresponding part

Step-by-step explanation:

The corresponding parts between PQRS and WXYZ are, PQ corresponds to WX, QR corresponds to XY, RS corresponds to YZ, SP correspond, ds to ZW.

If PQRS is congruent (≅) to WXYZ, it means that the two figures are identical in shape and size. Each letter represents a corresponding part between the two congruent figures.

To find the corresponding parts, we can match the corresponding vertices of the polygons. Let's match the vertices of the polygons:

P corresponds to W.

Q corresponds to X.

R corresponds to Y.

S corresponds to Z.

Therefore, the corresponding parts between PQRS and WXYZ are:

PQ corresponds to WX.

QR corresponds to XY.

RS corresponds to YZ.

SP corresponds to ZW.

To know more about corresponding parts

https://brainly.com/question/20691277

#SPJ2

What is the area of the shaded part of the figure if =14
x
=
14
ft?

Use 3.14
3.14
to approximate π
π
.

Answers

The area of the shaded part is: 42.14 ft² .

Area of Square

Area = s²

Area of Quarter Circle

Area = 1/4πr²

Thus:

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part = s² - 1/4πr²

s = 14 ft

r = 14 ft

Substitute

Area of shaded part = 14² - 1/4(3.14)(14²)

= 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

Learn more about area of square on:

https://brainly.com/question/813881

Please help. I’m confused

Answers

Answer: this is the distance formula.

Step-by-step explanation:

you don’t solve it, it’s a formula for points on a coordinate plane. For example, (1,0) and (2,1). It would be the square root of (1-2)^2 + (0-1)^2. Then you solve it to find the distance.

Need help on this please

Answers

Answer: Third circle.

Step-by-step explanation:

f(x) = 2ˣ + 3

the function 2ˣ is an exponential graph which range is all real numbers over 0.

Knowing this, by adding a +3, this graph shifts upward by 3 and as such the range shifts to all real numbers over 3.

Answer:

Third option "...greater than 3"

Step-by-step explanation:

The domain of the function for "x" is all real numbers, the range starts from real numbers greater than 3

Hope this helps

A baker displays 144 cookies on 9 identical platters.
How many platters does the baker need to display 64 cookies?

Answers

Answer:

4 platters

Step-by-step explanation:

plz help multiply and divide one step​

Answers

Answer:

The value if y is -7

hope it helps you

Answer:

y = -7

Step-by-step explanation:

[tex]-4y = 28[/tex]

[tex]\frac{-4y}{-4} = \frac{28}{-4}[/tex]

[tex]y = -7[/tex]

find the domain of the function f/g(x) given f(x)=x^2+2x-8 and g(x)=x^2-16

Answers

Answer:

C) [tex]\{x|x\neq-4 \:or \:4\}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4[/tex]

Here, [tex]x\neq-4[/tex] is a hole on the graph since [tex]x+4[/tex] exists in both the numerator and denominator.

victor left his house riding his bike at a speed of 18mph.

when victor was 1/2 km from his house, his brother alex left the house riding his bike towards victor at the speed of 24mph. how long will it take alex to catch up with victor?


(i dont know how to change my grade but im in 5th grade and doing rsm homework so help pls)

Answers

Answer:: 5 minutes or 1/12 hour

Step-by-step explanation:

Other Questions
world war 1 took place between what years. quizziz There are 6 red cars and 8 green cars in a garage. What fraction of the cars are red? What is the volume of this rectangularprism?Il inches6 inches32 inches The russian revolution of 1917ended with which result?. narrative essay on conclusion of my schooling chapter Review "The Harlem Renaissance" in the Activity 5.2 and Locke's piece. How does each author explain the reasons for the Great Migration? How do these reasons support each author's theme? GIVING 75 POINTS please answer the question attached What is the temperature (in K) of 0.660 mole of neon in a 2.00 L vessel at 4.68 atm? a ball is dropped from rest at a height of 45.0 m above the ground. ignore the effects of air resistance. What is the speed of class of the ball when it is 10.0 m above the ground if you are givent two points on a line, (5,6) and (-5, -4), what is the slope of the line! What did Jonas do at the House of Old? How did he feel about his job? How would you feel about the same job?(book is giver)HELP helpppp!!!!!! As shown in the diagram, lines m and n are cut by transversal p. What is the end behavior of the graph of f(x) = 0.5x^2 3x 4? the very first paralympic games was held in 1960, celebrating the sporting achievements of people with disabilities and making huge strides for inclusion. Pls help me l dont understand The function g is defined by g(x) = x^2-2.Find g(2a). What is gravitational energy? Please help. help please its music. How many millilitres are there in two point four litres? Which of the following lists the steps of a trial in the correct chronological order from beginning to end?.