Mr. and Mrs. Sung stayed at a bed-and-breakfast for
two nights while on vacation. Their final bill for the
room including sales tax was $364.61. If they were
charged 10.3% tax on the room, how many dollars per
night did the room cost before tax?

Answers

Answer 1

Answer:

163.53

Step-by-step explanation:

if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53


Related Questions

1. John has 2 options to use gym facilities in his community.
Plan A:
$3 hourly rate.
Plan B:
$2 hourly rate plus $2 entrance fee per visit during off peak hours.
$4 hourly rate with discount $1 per visit during peak hours.
If John chooses plan A, how many hours he has to use the gym facilities per trip,
a. during off peak hours
b. during peak hours
in order to make his payment cost effective (Payment to be lower than plan B). Give a
conclusion for questions above.

Answers

Answer:

B

Step-by-step explanation:

because its even better when u see it be doing math

plss helpppppppppppp plssss

Answers

Answer:

(x + 1)(x - 7) is the odd one.

Step-by-step explanation:

1) sum= 8

Product = 7

Factors = 1 , 7    {1*7 = 7  & 1+7 = 8}

x² + 8x + 7 = x² + x + 7x + 7

                 = x(x +  1) + 7(x + 1)

                 =(x +1 )(x + 7)

2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)

                      = x(x - 1) - 7(x - 1)

                     =(x - 1)( x - 7)

3)Sum = 6

Product = -7

Factors = (-1) , 7   { -1 + 7 = 6   & (-1)*7 = -7}

x² + 6x - 7 = x² - x + 7x - 7

                   = x(x - 1) + 7(x - 1)

                   = (x  - 1)(x + 7)

Answer:

(x+1)(x-7) is the odd one out

Solve for x: -7 < X - 1 < 8

Answers

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

Simplify each radical
1-4

Answers

Hopefully this helps and it is clear to see :)

Hello! I need help with coordinate planes in math. I don't need an explanation, because I do kind of understand it. If you don't know the answer, please don't answer it. If you have any questions about the question, please drop in a comment! Thank you!

Answers

Answer:

the first one

the third one

thats all I know but this should help I have some work to do soooo sorry big zozo ;(

Step-by-step explanation:

Evaluate.

(a−2b)3 when a=−3 and b=−1/2

Enter your answer in the box.

Answers

Answer:

[tex]-3.5[/tex]

Step-by-step explanation:

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}[/tex]

Given that,

[tex]a=(-3)\\b=(-1/2)[/tex]

So,

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}\\=(-3)^{3}-6* (-3)^{2} *\frac{-1}{2} +6*(-3)*(\frac{-1}{2} )^{2} -8*(\frac{-1}{2} )^{3} \\= (-27)-6*9*\frac{-1}{2} +-18*\frac{1}{4} -8*\frac{-1}{8} \\=(-27)-6*-4.5-4.5+1\\=-27+27-4.5+1\\=-3.5[/tex]

Hope this helps you

Let me know if you have any other questions :-)

Help Me !!!!!!!!!!!!

Answers

Marta has a better estimate

Step-by-step explanation:

cause let's round both one to the nearest ten. 260*30

then let's cancel both zeros to make it easier

26*3=78 and just add on two zeros at the end

clearly Marta estimate is better as it is closer to 7800

Use the distributive property to remove the parentheses -4(-2v+2y-2)

Answers

With the distributive property you multiply everything inside the parentheses by the number outside the parentheses.

-4 x -2v

-4 x 2y

-4 x -2

8v-8y+8

z=x^2-xy+y^2+3x-2y+1

Answers

Answer:

.....................

find the slope of the parabola y equals to e^(-4x) sin6x at the point P(2,4). write an equation for the tangent to the parabola at this point​

Answers

The equation of the tangent line to the curve is:

[tex]y - 4 = 0.0024(x - 2)[/tex]

Which has a slope of 0.0024.

The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

In this problem, the curve is:

[tex]f(x) = e^{-4x}\sin{6x}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]

Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].

The slope is:

[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]

Then, the equation of the line is:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

[tex]y - 4 = 0.0024(x - 2)[/tex]

A similar problem is given at https://brainly.com/question/22426360

Which shows the correct expression and answer for solving 1.8 x 1.2 with partial products?

Answers

Answer:

Step-by-step explanation:

1.8 x 1.2 = 2.16

Answer:

the answer is C

Step-by-step explanation:

I had this test before

13. There are 6 times as many dogs as cats. If the total number of dogs
and cats is 21, how many dogs are there?

Answers

Answer: The answer you would be looking for is 126.

Step-by-step explanation:

If theres 21 you are multiplying by 6 and that is 126

What is the difference between Independent and dependent events?
Choose the correct answer below.
O A Two events are independent when the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event affects the probability
of the occurrence of the other event.
OB. Two events are independent if only one of the two events can occur. Two events are dependent if they can occur at the same time.
OC. Two events are independent when the occurrence of one event affects the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event does not affect the probability
of the occurrence of the other event
OD. Two events are independent if they can occur at the same time. Two events are dependent if only one of the two events can occur.

Answers

Answer: A

Step-by-step explanation:

It is the definition of independent and dependent events

7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.

Answers

Answer:

54

Step-by-step explanation:

3(pants)x6(shirts)x3(shoes)=54

(2*10^3) + ( 5*10^5 )

Answers

They answer is 15 because I know this so yeah

Convert standard form to vertex form y=2+3x ^2

Answers

Answer:

y=3(x+0)^2+2

Step-by-step explanation:

The standard form of a parabola is y=ax2+bx+c y = a x 2 + b x + c . The vertex form of a parabola is y=a(x−h)2+k y = a ( x − h ) 2 + k .

kohl's is having a sale on shoes where you can buy 4 pairs of shoes for $92. walmart is also having a sale where you can buy shoes for $23 each. who has the better deal on shoes ?

Answers

4 x 23 = 92

four shoes cost $92 at Wallmart, but its the same at kohl's

wallmart price = kohl's price

                $92 = $92

they are equal

help!!!!What is a value of y that makes the relation (3,5)(2,5)(9,y)a function!

Answers

Answer:

tesie nqsguirin tentndaoloe

Step-by-step explanation:

A snail is at the bottom of a 10 foot well. Every
day, he crawls up 3 feet, but at night, he slips
down 2 feet. How many days will it take for him to get
out of the well?

Answers

Answer:

10 days.

Step-by-step explanation:

3-2 = 1 foot of progress per day.

Answer:

8 days

Step-by-step explanation:

We get 8 days because the snail gets one foot higher every day. By the morning of the 8th day, the snail is 7 feet up and just needs to climb its daily 3 feet and it will be out of the well. You don't need 10 days because the snail only falls at night.

halp now if u pro i will give brainli

Answers

The answer is the orange line.

Answer:

The orange line is the actual answer because it is moving at constant velocity

Step-by-step explanation:

ALGEBRA Ishiro Murakami has $15.60 deducted weekly for
family medical insurance. His employer pays 85% of the cost.
What is the annual premium?

Answers

Murakami's Annual premium which is the total value of medical insurance in a year is $5408

Percentage paid by employer = 85%Percentage paid by worker = 15%Number of weeks in a year = 52

Annual deduction from worker's salary = 52 × 15.60 = $811.2

15% of annual premium = 811.2

Let annual premium = p

Therefore,

15% × p = 811.2

0.15p = 811.2

Divide both sides by p

p = 811.20 / 0.15

p = $5408

Therefore, his annual premium is $5408

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

currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours

Answers

Answer:

25

Step-by-step explanation:

300/12 = 25

Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)

Answers

I think it is C I thinkkkkkkkkk

The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

what is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

−5x + 3y > 12

a) (3, 9)

−5x + 3y > 12

-5(3) + 3 (9) > 12

-15 + 27 > 12

12>12

b) (-5, 5)

−5x + 3y > 12

-25 + 15 > 12

-10>12

c) (3, -6)

−5x + 3y > 12

-15 -18 > -12

-23> -12

d) (-2, -5)

−5x + 3y > 12

10 - 15 > 12

-5> 12

e) (2, 8)

−5x + 3y > 12

-10 + 24 > 12

14>12

f) (-6, 0)

−5x + 3y > 12

30 + 0 > 12

30>12

Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5

[tex]3.2a-1-4 \frac{1}{3}a+7-a[/tex]

Answers

"keep-change-flip" is a strategy used to dividing fractions.

always change the mix fraction to a improper fraction and you slove.

I'll do the first one and the rest is basically done the same way.

for the last fraction equation I cross multiply the 4 divided into 4 gives you 1 and the 3 divided into 21 gives you 7.

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.

Answers

1/12. There are 12 possibilities, and only one number under 2.

−x2 if x=−4 pls help

Answers

Answer:

x=4

Step-by-step explanation:

Hey what is 9x238
any help?

Answers

Answer:

2142

Step-by-step explanation:

2,142 would be your answer when you multiply these numbers. I hope this helps :)

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!

Answers

1. Unique solution
3.Infinite solutions
2. No solution
4. No solution
5. 7x+12=7x-3
6. 7x + 12 = 12 + 7x
7. 7x + 12 = 4x + 3

I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k

Answers

Answer:

[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]

Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1

Answers

a is your answer to the question that you are asking

The only set of side lengths that can form a triangle is 9, 4, 8.

Option A is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if each of the given sets of side lengths satisfies this condition:

A.

9, 4, 8

9 + 4 > 8 ✓

9 + 8 > 4 ✓

4 + 8 > 9 ✓

All three inequalities are true, so these side lengths can form a triangle.

B.

14, 7, 6

14 + 7 > 6 ✓

14 + 6 > 7 ✓

7 + 6 > 14 ✗

The last inequality is false, so these side lengths cannot form a triangle.

C.

3, 8, 1

3 + 8 > 1 ✓

3 + 1 > 8 ✗

8 + 1 > 3 ✓

The second inequality is false, so these side lengths cannot form a triangle.

Therefore,

The only set of side lengths that can form a triangle is A. 9, 4, 8.

Learn more about triangles here:

https://brainly.com/question/25950519

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