Including a 7% sales tax, an inn charges $125.19 per night. Find the inn's nightly cost before tax is added.
Answers
The inn's nightly cost before tax is added is $23.54
Taxes are prices added on top of goods and services
Let the normal price be x
Price including tax = x + 0.07x (note that the tax iss 7%)
Given that Price including tax = $125.19, then;
$125.19 = x + 0.07x
Find the value of x
125.19 = 1.07x
Swap
1.07x = 125.19
x = 125.19/1.07
x = $23.54
This shows that the inn's nightly cost before tax is added is $23.54
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Related Questions
Complete to get an equal ratio
5a/8ab = ?/ 24a^2 b
Answers
9514 1404 393
Answer:
? = 15a^2
Step-by-step explanation:
We assume you want
(5a)/(8ab) = (?)/(24a^2·b)
Multiplying by 24a^2·b, we get ...
(5a)/(8ab)·(24a^2·b) = ? = 15a^2
-7x-14=2x+13 What does x equal?
Answers
Answer: x = -3
Step-by-step explanation:
Given
-7x - 14 = 2x + 13
Subtract 2x on both sides
-7x - 14 - 2x = 2x + 13 - 2x
-9x - 14 = 13
Add 14 on both sides
-9x - 14 + 14 = 13 + 14
-9x = 27
Divide -9 on both sides
-9x / -9 = 27 / -9
[tex]\boxed {x = -3}[/tex]
Check:
Left-hand side = -7x - 14
= -7 (-3) - 14
= 21 - 14
= 7
Right-hand side = 2x + 13
= 2 (-3) + 13
= -6 + 13
= 7
7 = 7
Hope this helps!! :)
Please let me know if you have any questions
Amy is six years older than her brother Leo. Leo is seven years old.
If n stands for Amy’s age, which of these sentences could be used to find her age?
Answers
draw the graph of the following equation 2(x+1)=3(y-1)-4
anyone knows how to do this ?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.
__
If you're drawing this by hand, it can be easier if it is simplified a bit.
2(x +1) = 3(y -1) -4
2x +2 = 3y -3 -4 . . . . . . eliminate parentheses
2x +9 = 3y . . . . . . . . . . add 7
y = 2/3x +3 . . . . . . . . . divide by 3
This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.
Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.
Evaluate the expression
Answers
Answer:
361
Step-by-step explanation:
[tex]3 \times {11}^{2} - 2 = 361[/tex]
Answer:
361
Step-by-step explanation:
3(7+4)^2-14÷7
PEMDAS says parentheses first
3(11)^2-14÷7
Then exponents
3(121)-14÷7
Then multiply from left to right
363 -14÷7
363 -2
Subtract
361
4 – 2(x + 7) = 3(x + 5)
Answers
Answer:
x = -5
Step-by-step explanation:
4 – 2(x + 7) = 3(x + 5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Answer:
x = -5
Step-by-step explanation:
4 - 2(x + 7) = 3(x + 5)
so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.
2(x + 7) = 2x + 14
3(x + 5) = 3x + 15
so, in total
4 - 2x - 14 = 3x + 15
now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).
-2x - 10 = 3x + 15
-25 = 5x
and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.
-5 = x
en un trabajo manual de una escuela secundaria se necesitan pedazos alambron de 10,12,16,20 cm de largo, sin que sobre ni falte material. ¿cuanto sera la mejor longitud de alambron que utilice?
a) 80cm b) 360cm c)320 d)120cm e) 240cm
Answers
Answer:
there is no answer of this question
If there are 3.28 feet in a meter , how many are in the 110 meter dash?
Answers
360.8
Explanation:
3.28*110
In 110 meter dash, there are 360.8 feet.
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given that, there are 3.28 feet in a meter
Since,
in 1 meter there are = 3.28 feet
Thus in 110 meters there are = 3.28 * 110 feet
In 110 meters, there are = 360.8 feet
Therefore, there are 360.8 feet in 110 meters dash.
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Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
Answers
Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15
(3x + 7)(2x - 1) equals 6x^2 + 11x − 7
Explanation: You expand the polynomial using the FOIL method.
4y + 3y + 2y =
please help. Thank you.
Answers
Answer:
9yStep-by-step explanation:
4y + 3y + 2y
= 4y + 5y
= 9y (Ans)
PLEASE HELP PLEASE PLEASE PLEASE
Alvin's age is three times Elga's age. The sum of their ages is 112. What is Elga's age?
Answers
Answer:
Elga is 37 years old
Step-by-step explanation:
(A shame they are not the same age but that would be too easy...)
So... they both equal 112 and one of them (Alvin) is 3 times older
Basically just divide 112 and 3
Answer : 37 years old
Check Work
112 - 37 = 75
75 + 37 = 112
Hope this helps :)
A landscaper buys for bushes and seven trees for a total of 855.65 if a tree cost $101.95 what is the cost of a bush
Answers
$35.50........... ....
Answer:
7 554 .5
Step-by-step explanation:
46£¥^99$
368¥/%#(₩098$%(₩¥=98€€₩($$¥97
Yasmeen Is a member of the I love movies club. She paid a one time fee for $40 to join now only pays one dollar per movie to rent. Michael did not join the club, so he paid $6 per movie to rent. How many movies will Yasmeen and Michael have to rent to pay the same amount? Let M represent the number of movies.
Answers
Answer:
M=8
Step-by-step explanation:
6x8=48
40+8x1=48
What is the coefficient in the term -5y?
Answers
Answer:
-5
Step-by-step explanation:
-5 is the coefficient in the term -5y
The number which is multiplied with the variable is called the coefficient of the variable
Answer:
-5
Step-by-step explanation:
The coefficient is the number next to the variable. In this case, the coefficient is -5.
i need help asap please
Answers
Answer:
a.
MP3 player: 88%
Video game player: 92%
b.
MP3 player: 75 minutes
Video game player: 67 minutes
Step-by-step explanation:
a.
MP3 player
- Already has 40%
- Each 15 minutes additional 12%
--> An hour = (60/15)*12 = 48 (%)
--> After an hour charged = 40 + 48 = 88%
Video game player
- Already has 20%
- Each 10 minutes additional 12%
--> An hour = (60/10)*12 = 72 (%)
--> After an hour charged = 20 + 72 = 92 (%)
b. To charges 100 minutes:
MP3 player
100 = 40 + ((x/15*12)
--> x = 75 (minutes)
Video game player
100 = 20 + ((x/10*12)
--> x = 67 (minutes)
PLZZZZ help it will mean a lot :)
Answers
3x = 18
Divide both sides by 3 and simplify
x=6
Answer:
Step-by-step explanation:
assuming that you need to find the value of x
3x = 18
-divide both sides by 3
3x/3 = 18/3
-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6
x = 6
Question 4 Multiple Choice Worth 5 points)
Simplify by dividing
(-5/8) divided by (-3/4)
A. 20/24
B. -20/24
C. -15/32
D. 15/32
Answers
Answer:
0.0520833333 is the "techical answer" but the real answer is B
Step-by-step explanation:
if you do the math -5 x 4 / 8 x -3 = -20/24
Hope this helps :)
The sign shows distances from a rest stop to the exits for different towns along a straight section of
highway. The state department of transportation is planning to build a new exit to Freestone at the
midpoint of the exits for Roseville and Edgewood. When the new exit is built, what will be the distance
from the exit for Midtown to the exit for Freestone?
Answers
Exit for free stone
(35+51)/286/243miDistance from midtown to free stone
43-1726miThe distance from Midtown to Freestone is 26mi.
What is the distance?The Distance is defined as the product of the speed and time.
Given data as:
Exit for Midtown = 17 mi
Exit for Roseville = 35 mi
Exit for Edgewood = 51 mi
Exit for freestone = (35+51)/2
Exit for freestone = 86/2
Exit for freestone = 43mi
Distance from Midtown to Freestone = Exit for freestone - Exit for Midtown
Distance from Midtown to Freestone = 43 - 17
Distance from Midtown to Freestone = 26mi
Hence, the distance from Midtown to Freestone is 26mi.
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Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4
Answers
Answer: D
Step-by-step explanation:
Let say a: the line decreasing
b: the line increasing
[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]
[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]
Answer is D
WHATS THE BOILING POINT FOR WATER
Answers
Answer:
Celsius = 100c
Fahrenheit = 212f
(38.01-0.07)+(11.65-0.001)
Answers
Answer:
=49.589
Step-by-step explanation:
(37.94)+(11.649)
the polygons are similar. find the scale factor of the smaller figure to the larger figure
Answers
Let’s start with the definition of “similar” figures (this definition is from varsity tutors):
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Therefore, we know that the sides of the smaller figure will be at an equal ratio to the sides of the larger figure.
The smaller figure is flipped upside down as opposed to the larger one. Therefore, the bottom (8) of the small figure has a ratio with top (12) of the large figure.
The resulting ratio is 8:12
You can simplify that! Divide both 8 and 12 by 4.
8/4=2
12/4= 3
Therefore, your final ratio is 2:3!
Hope this helped. Comment if you have questions!
What has a ring but no finger?
Answers
Answer:
ringtone
Step-by-step explanation:
phone ringtone
Using the same application you used in Part F ,reflect the line segment across the x axis , Then rotate it 90°clockwise. Finally, translate it down 2 units. What is the relationship between the original line segment and transformed line segment? If you transform a line segment with a sequence of reflection, rotations, or translation, Is it still a line segment. Will give Brainleist Answer
Answers
Step-by-step explanation:
sorry if I don't get it right but I think it's no?
What’s V= L times H for W
Answers
Step-by-step explanation:
It could be
V= L×B×H
Hope it helps
Please help Q15!!!it will mean a lot +20 points
Answers
Answer:
c seems right
Step-by-step explanation:
What is m
O M ZABC = 60°
OM ABC = 67°
OM ZABC = 120°
O M ABC = 127°
Answers
Answer:
∠ ABC = 127°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABC is an exterior angle of the triangle , then
∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°
We know that we have a triangle and we want to find the value of its angle which will be given by 53°.
We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:
[tex]ABC=180[/tex]
Now making the sum of the angles already known and equating to 180, we find that:
[tex]180=67+60+x\\x=180-127\\x= 53[/tex]
See more about triangles at brainly.com/question/25813512
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)
Answers
Answer:
199 pages
Step-by-step explanation:
The average number of words on the page is 300. Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).
I need help with this problem and please show step by step
Answers
Answer:
a).
[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]
b).
common difference, d:
[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]
c).
[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]
yes it is the same
5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real
Answers
Answer:
O Natural, whole, integer, rational, real
Step-by-step explanation:
it can be expressed as a fraction of 45/3, which means that it is rational.
it is a whole number because it does not contain a fraction or decimal.
it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc
it is a natural number because it is a positive integer.
and it is an integer because it does not contain a decimal.
Answer: Natural, whole, integer, rational, real