Including a 5% sales tax, an inn charges $160.65 per night. Find the inn's nightly cost before tax is added

Answers

Answer 1

Answer:

$80.12

Step-by-step explanation:

Step 1:

$160.65 × 0.5

Answer:

$80.12

Hope This Helps :)

Answer 2

Answer:

160.65*0.05-8.0325

160.65-8.0325=152.6175 so $152.62

Step-by-step explanation:


Related Questions

Evaluate and simplify the following complex fraction.

Answers

Answer:

The answer is

[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \frac{ - \frac{5}{7} }{ \frac{2}{4} } [/tex]

First of all we can write the fraction as

[tex] - \frac{5}{7} \div \frac{2}{4} [/tex]

Simplify the second fraction

That's

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

So we have

[tex] - \frac{5}{7} \div \frac{1}{2} [/tex]

Next change the division sign to multiplication sign and reverse the second fraction

That's

[tex] -\frac{5}{7} \times \frac{2}{1} [/tex]

Multiply the terms

We have the final answer as

[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]

Hope this helps you

Solve for x
9- 2y + 8y – 7 = -22

Answers

Answer:

-4

Step-by-step explanation:

-4

Step-by-step explanation:


There are two numbers which add up to 20. If one number is five more than four times the other, find the numbers.

Answers

Answer:

  3 and 17

Step-by-step explanation:

Let x and y represent the numbers.

  x + y = 20 . . . . . . . . the numbers add up to 20

  x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other

Substituting the second equation into the first:

  (5 +4y) +y = 20

  5y = 15 . . . . . . . . . . subtract 5

  y = 3 . . . . . . . . . . . . divide by 5

  x = 20 -3 = 17

The numbers are 17 and 3.

Name the coordinate of P(-5, 8) under a translation along the
(x+2, y -1)

Answers

(-3, 7)

Explanation: the point (-5,8) moves to the left (x axis) 2 points and down (y axis) 1 point. Thus -5 + 2 = -3 and 8 - 1 = 7, so the answer is (-3, 7)

Enter the answer in the space provided.
Mariah walks 6 miles per hour. Bobby walks 4, 400 yards in a half-hour.
Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby, in miles per hour?
Enter the answer in the space provided.
Shaun rides his bike at a speed of 19 miles per hour. How far, in miles, does Shaun travel in 25 minutes when rounded to the nearest
hundredth?

Answers

Answer:

Part 1: 1 mile.

Part 2: 1.32 mph.

Step-by-step explanation:

The correct speed of Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.

Shaun travel in 25 minutes in the given case, when rounded to the nearest  hundredth - 7.92 miles.

Part 1.

Given:

speed of Mariah = 6 miles per hour

speed of Bobby = 4, 400 yards per half hour

= 8800 yards per hour

1 mile = 1760 yards

Solution:

To find out the speed difference of both Mariah and Bobby, we need to convert speeds in the same units that is mile:

=> speed of bobby = [tex]\frac{8800}{1760}[/tex]

=> speed of bobby = 5 miles per hour

as it is given 1 mile = 1760 yards

=> Now, the speed difference between Mariah and Bobby is

= 6 - 5

= 1 mile per hour.

Thus, Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.

Part 2:

Given:

Speed of Shaun =  19 miles per hour

distance traveled in 25 minutes = ?

Solution:

To find out the traveled distance by Shaun in 25 minutes we need to find the speed per minute:

1 hour = 60 minutes

So as given, 19 miles per 60 minutes

then speed per minute = [tex]\frac{19}{60}[/tex]

= 0.316

then traveled in 25 minutes-

=> [tex]0.316*25[/tex]

=> = 7.92

Thus, Shaun travel in 25 minutes in the given case, when rounded to the nearest  hundredth - 7.92 miles.

Learn more about:

https://brainly.com/question/12696792

Solve for the variable!
1. 2x + 21 = 40
2. 4x - 12 = 3x + 9
3. 3(x -1) + 2 = 7x

Answers

Step-by-step explanation:

1. 2x + 21 = 40

2x = 40 - 21

2x = 19

x = 19/2 = 9.5

2. 4x - 12 = 3x + 9

4x - 3x = 9 + 12

x = 21

3. 3x - 3 + 2 = 7x

3x - 1 = 7x

-1 = 7x - 3x

-1 = 4x

4x = -1

x = -1/4

= - 0.25

Which explains a way the U.S. government has created incentives for people to save?
A. It has enforced regulations for product advertising and labeling.
B. It has established protections for monies placed into banks.
C. It has sued companies that make fraudulent claims to gain refunds.
D. It has worked to educate consumers about their responsibilities.​

Answers

Answer: B

Step-by-step explanation: B. It has established protections for monies placed in banks

how do i do linear functions?​

Answers

Answer:

1. Substitute the value of f(x) into the problem. 8=3x-1.

2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...

3. Continue to isolate the variable. ...

4. Simplify.

Step-by-step explanation:

Given 2x² = -8, x is

Answers

Answer:

its 2i or -2i

Step-by-step explanation:

just did it and also the next one is -4 and 10

Answer:

your answer will be "2i or -2i"

for the next it is   -4 and 10

Step-by-step explanation:

whats x/7 = 4 in one step equations

Answers

Answer: x = 28

Step-by-step explanation: You multiply each place by 7 to get the x by itself and you get 28 as an answer

Answer:

28

Step-by-step explanation:

x/7=4

x=4*7

x=28

What is 31 1/2 divided by 3 1/2

Answers

Answer:

9

Step-by-step explanation:

used a calculator

you get out of school and walk orth for 20 minuties yo travel 1.6km what si the average velocity

Answers

Answer: The answer would be 1.6 :)

Answer:

The average velocity is:

4.8 km/hour

Step-by-step explanation:

1 hour = 60 minutes

20 minutes = 20/60 = 0.3333 hour

Proportions

1.6km ⇔  0.3333 hour

W km ⇔   1 hour

W = 1.6*1/0.3333

W = 4.8 km/hour

Can somebody help me pleaseeeee


Multiply -5/8•(-3)

Answers

Answer:3 [ 1 5 -5 6 0 0 ]

3 x 1 = 3

3 x 5 = 15

3 x -5 = -15

3 x 6 = 18

3 x 0 = 0

3 x 0 = 0

[ 3 15 -15 18 0 0 ]

[ 3 15 ]

[ -15 18 ]

[ 0 0]

The answer is B and I hope I explained this well for you

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

find the inverse of the following function g(x) = -2x+3

Answers

Answer:

[tex]g(x)^-1 = \frac{-x}{2} +\frac{3}{2}[/tex]

Step-by-step explanation:

1) swap x and y

x = -2y + 3

2) solve for y

[tex]x=-2y+3[/tex]

[tex]2y=-x+3[/tex]

[tex]y=\frac{-x}{2} + \frac{3}{2}[/tex]

Answer:

[tex]\frac{y+3}{2}[/tex]

Step-by-step explanation:

the first term of an arithmetic sequence is equal to 200 and the common differencence is equal to -10. find the value of the 20th term​

Answers

Answer:

The value for 20th term is 10.

Step-by-step explanation:

First, you have to find the formula for the sequence.

[tex]an = a + d(n - 1)[/tex]

[tex]let \: a = 200,d = - 10[/tex]

[tex]an = 200 - 10(n - 1)[/tex]

[tex]an = 200 - 10n + 10[/tex]

[tex]an = - 10n + 210[/tex]

Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :

[tex]let \:n = 20[/tex]

[tex]20th \: term = - 10(20) + 210[/tex]

[tex]20th \: term = - 200 + 210[/tex]

[tex]20th \: term = 10[/tex]

(Correct me if I am wrong)

What’s the value of x in both a & b?

Answers

Answer:

a) 7

b) 2 2/7

Step-by-step explanation:

A) 2/7=2/x

x=7

B) 2/7=x/8

cross multiply

16=7x

x=16/7, or 2 2/7, or 2.2857

if 5a + 2b + 6c 32, what is the value of c?

Answers

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number

Select the correct answer for each statement. (k+2, k+3 , k+4) or (k+10, k+12, k+14) will yield consecutive odd integers. (k+6, k+8 , k+10) or (k+1, k+2, k+3) will yield consecutive integers.

Answers

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

2k+9, 2k+11, 2k+13 will yield consecutive odd integers.

k+6, k+8, k+10 will yield consecutive integers.

Please assist me with these problems and show the work. Part 1 4. From a horizontal distance of 80.0 m, the angle of elevation to the top of a fragpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre. 5. A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.

Answers

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Please refer to the (badly drawn, sorry) drawings.

4)

So for a horizontal distance of 80 meters, the angle of elevation is 18 degrees.  And we want to find the height.

The horizontal distance is adjacent to the angle, and the height is opposite to the angle. Thus, we can use the trigonometric ratio tangent.

Recall that tangent is:

[tex]\tan(x)=opp/adj[/tex]

Substitute 18 for x, h for opposite, and 80 for adjacent. Thus:

[tex]\tan(18)=\frac{h}{80}[/tex]

To solve for h, multiply both sides by 80:

[tex]h=80\tan(18)[/tex]

Use a calculator:

[tex]h\approx25.9938[/tex]

So, the height is approximately 26.0 feet.

5)

So, this time, we need to find the angle. We know the hypotenuse and the side adjacent to the angle. So, we can use cosine. Recall that:

[tex]\cos(x)=adj/hyp[/tex]

Substitute 1.5 for adjacent and 9 for the hypotenuse. Thus:  

[tex]\cos(x)=\frac{1.5}{9}[/tex]

Take the inverse cosine of both sides:

[tex]x=\cos^{-1}(\frac{1.5}{9})[/tex]

Use a calculator:

[tex]x\approx80.4059\textdegree\approx80\textdegree[/tex]

So, the angle is about 80 degrees.

And we're done!

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Solve for x. −25x+175>225 AND 5x−83≥−73

Answers

Answer:

x < -2; x> or= 2

Step-by-step explanation:

-25x + 175>225

-25x>225-175

-25x>50

divide both sides by -25; we have

x <-2

the lesser than sign changes to a greater than because we are dividing by a negative number.

2. 5x - 83>_ -73

5x>_ -73 + 83

5x>_ 10

divide both sides by 5x we have

x>_ 2

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of 150 per pizza slice Aaliyah purchased a membership to this pizza shop how much would a Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month what would be the monthly cost for a slice of pizza

Answers

This question was not written properly

Complete Question

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of $1.50 per pizza slice. Aaliyah purchased a membership to this pizza shop , how much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

What would be the monthly cost for a slice of pizza?

Answer:

a) $34

b) $26.50

Step-by-step explanation:

From the question:

Membership for frequent buyers in a month = $25

Discount price = $1.50 per pizza slice

a) How much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

This is calculated as:

Membership cost in a month + Discount price × Number of pizzas bought

= $25 +( $1.50 × 6 slices of pizza)

= $25 + $9

= $34

b) What would be the monthly cost for a slice of pizza?

This is calculated as:

Membership cost + Discount price × Number of slices

= $25 + $1.50 × 1

= $26.50

Give an answer to the picture above or below

Answers

Answer:

Graph

Step-by-step explanation:

Which is a pair of vertical angles? ∠VRU and ∠SRT ∠TRS and ∠VRW ∠TRV and ∠WRU ∠WRV and ∠SRW

Answers

Answer:

b

Step-by-step explanation:

jus did it

Determine the 3rd term in the geometric sequence whose first term is -8 & whose common term is 6

Answers

Answer:

so the formula for finding the n th term in a geometric sequence is :

(first term) * [tex](Common Term)^{n-1}[/tex]

therefore:

the 3 rd term will be

(-8) * (6)^2

-8 * 36

-288

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

Answers

Answer
y=mx+b
y=2x-7

Explanation
m = the “common difference” between two points
In this graph, it’s 2 because every time the line moves across the x axis by 1, it increases in 2 in the y axis

b = the point that intercepts the y axis; the y-intercept
In this graph, the point intercepts the y axis at -7 (the y-intercept is -7)

The sum of y and 13 divided by 2

Answers

Answer:

7.5

Step-by-step explanation:

Write an equation with a slope of -7 and a y-intercept of (0,4)

Answers

Answer:

Step-by-step explanation:

y - 4 = -7(x - 0)

y = -7x + 4

Resuelve las siguientes situaciones problemáticas: A) en una caja de 36 naranjas, si se han descompuesto, ¿qué parte del contenido de la caja se desperdicia? B) mi hermana hizo una pizza y la dividió en 8 porciones, si mi papá, mi hermano y mi tía comieron una porción cada uno, ¿qué la parte de la pizza queda?

Answers

Answer:

gdjlicnoirfbmlyrsrloydfbm

Tenemos dos problemas de proporciones.

Las soluciones son:

A) p = 6/36 = 1/6B) p = 5/8.

A) Lamentablemente el primero está incompleto, lo reescribamos como:

"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"

Solo para mostrar la matemática que se necesita para este tipo de problemas.

La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:

p = 6/36 = 1/6

Se desperdicia 1/6 del contenido de la caja.

B) Sabemos que la pizza originalmente tiene 8 porciones.

Luego tu papá, hermano, y tía comen una porción (3 en total)

Entonces quedan: 8 - 3  = 5 porciones.

La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:

p = 5/8.

Quedan 5/8 de la pizza.

Si quieres aprender más, puedes leer:

https://brainly.com/question/24436904

Please help me figure this out​

Answers

Answer:3⁴ and 81¹

Step-by-step explanation:

3⁹= 19683

3⁴= 81

-9²= -81

9⁹= 387,420,489

81¹= 81

The article ``Oxygen Consumption During Fire Suppression: Error of Heart Rate Estimation" reported the following data on oxygen consumption (ml/kg/min) for a sample of ten firefighters performing a fire suppression simulation:
29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6
Compute the following:
a. The sample range.
b. The sample variance s2 from the definition (i.e. first computing deviations, then squaring them, etc.).
c. The sample standard deviation.
d. s2 using the shortcut method.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6

Sort in ascending order of magnitude :

23.5,26.3,28.0,28.2,29.4,29.5,30.6,31.6,33.9,49.3

A) Range of the sample data:

(maximum - minimum)

49.3 - 23.5 = 25.8

B) sample variance :

S² = ∑ (x − m)²/ n − 1.

m = mean ; n = number of observations

m = (23.5 + 26.3 + 28.0 + 28.2 + 29.4 + 29.5 + 30.6 + 31.6 + 33.9 + 49.3) = 310.3 / 10 = 31.03

∑ (x − m)² = 443.801

n - 1 = 10 - 1 = 9

S² = ∑ (x − m)²/ n − 1

S² = 443.801 / 9

S² = 49.311222 = 49.31

C) The standard deviation (s):

S = √[∑ (x − m)²/ n − 1]

√variance = √49.311222

S = 7.0221949

S = 7.022

D) using statistical calculator,

S² = 49.31

Answer:

C

Step-by-step explanation:Hope this helps!:>

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Simon Company's year-end balance sheets follow.At December 31 2014 2013 2012AssetsCash $ 31,600 $ 35,500 $ 37,400Accounts receivable, net 88,500 61,000 51,000Merchandise inventory 112,000 83,600 52,500Prepaid expenses 10,400 9,450 5,000Plant assets, net 278,000 257,000 234,000Total assets $ 520,500 $446,550 $ 379,900Liabilities and EquityAccounts payable $ 129,200 $ 73,000 $ 50,000Long-term notes payable secured bymortgages on plant assets 96,000 100,000 82,200Common stock, $10 par value 162,000 162,000 162,000Retained earnings 133,300 111,550 85,700Total liabilities and equity $ 520,500 $446,550 $ 379,900The company's income statements forthe y ears ended December 31, 2014 and 2013, follow.For Year Ended December 31Sales 2014 2013Sales $675,000 $630,000Cost of goods sold $398,250 $390,600Other operating expenses 202,500 144,900Interest expense 12,300 13,000Income taxes 9,550 8,925Total costs and expenses 622,600 557,425Net income $ 52.400 $ 72,575 Earnings per share $ 3.23 4.48Evaluate the company's efficiency and profitability by computing the following for 2014 and 2013.1. 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