Answer:
114$
Step-by-step explanation:
Including 8% sales tax, an inn charges $162 per night. Find
the inn's nightly cost before the tax is added.
Answer:
$150
Step-by-step explanation:
x + 0.08x = 162
1.08 x = 162
x = 150
The inn's nightly cost before the tax is added is $150.
Let's denote the inn's nightly cost before tax as "x." We are given that the inn charges $162 per night, including an 8% sales tax. This can be represented as an equation:
Total cost = Nightly cost before tax + Sales tax
$162 = x + 0.08x
Now, we can solve for "x":
$162 = 1.08x
x = $162 / 1.08
x = $150
So, the inn's nightly cost before the tax is added is $150.
We're asked to find the inn's nightly cost before the tax is added. Let's denote this cost as "x."
We are given that the total cost, including the 8% sales tax, is $162 per night. We can set up an equation using this information:
Total cost = Nightly cost before tax + Sales tax
Mathematically, this can be expressed as:
$162 = x + 0.08x
The 0.08x represents the 8% sales tax, which is 8% of the nightly cost before tax.
Now, we can combine the x terms on the right side of the equation:
$162 = 1.08x
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.08:
x = $162 / 1.08
x = $150
So, the inn's nightly cost before the tax is added is $150. This means that if there were no sales tax, the inn would charge $150 per night. The 8% sales tax is then added to this base cost to reach the total of $162.
To know more about Tax here
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if f (x) = 2x ^2 +5/ (x-2) complete the following statement f(6) =
f(x)=2x^2+5/x-2
[tex]\\ \rm\longmapsto f(6)=\dfrac{2(6)^2+5}{6-2}[/tex]
[tex]\\ \rm\longmapsto \dfrac{2(36)+5}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{72+5}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{77}{4}[/tex]
Use suitable identities to find the following products
(x-5) (x-5)
Step-by-step explanation:
[tex](x - 5)(x - 5) \\ {x}^{2} - 5x - 5x + 25 \\ {x}^{2} - 10x + 25[/tex]
I hope it makes sense
:)
write each expression as a single power of 10
Answer:
It is
[tex] {10}^{5} [/tex]
Step-by-step explanation:
[tex] \frac{ {10}^{4}. {10}^{5} . {10}^{6} }{ {10}^{3} . {10}^{7} } = \frac{ {10}^{(4 + 5 + 6)} }{ {10}^{(3 + 7)} } \\ \\ = \frac{ {10}^{15} }{ {10}^{10} } \\ \\ = {10}^{(15 - 10)} \\ = {10}^{5} [/tex]
In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts
Answer:
30%
Step-by-step explanation:
is the expressions (5•2) x equals to the expresion 10x? Explain your answer
Please help mee !
Answer:
No
Step-by-step explanation:
It would be x(5*2)
Basically what you put just written correctly
Answer:
yes it is 10x
Step-by-step explanation:
you just simply multiply 5 and 2 to get 10 and keep the x and put it next to the 10. Therefore, (5•2) x = 10x
A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?
Answer:
95
Step-by-step explanation:
add 50,45
PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?
Answer:
44
Step-by-step explanation:
n = pattern number
9n - 1 = number of tiles
Number 5 = 9n - 1
= 5 x 9 - 1
= 45 - 1
= 44
The pattern will have 54 tiles after the fifth day
How to determine how many tiles was pattern have after the fifth dayTo determine the pattern, let's find the difference between the number of tiles on consecutive days:
Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles
Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles
Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles
Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).
Now, let's use this difference to find the number of tiles after the fifth day:
Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles
Number of tiles after the fourth day: 35 tiles
Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles
So, the pattern will have 54 tiles after the fifth day.
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What is at least 2 metaphors in this passage?
Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not even a bird must touch the house! The house was an altar with ten thousand attendants, big, small, servicing, attending, in choirs. But the gods had gone away, and the ritual of the religion continued senselessly, uselessly.
Answer:
Step-by-step explanation:
it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia.
Put a like before an old maidenly aunt or woman. That makes it a simile. Take the like out and you have a metaphor.
Do the same thing with like in front of an alter. Take out the like and you have a metaphor.
What a grim and yet wonderful passage.
The greatest of four consecutive whole numbers, the smallest of which is b
Answer:
38
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108. Solving for x yields x=34. However, the question asks for the largest number, which is x+4 or 38. Please make sure to answer what the question asks for!
You could have also plugged in the answer choices. If you plugged in 38 as the largest number, then the previous even integer would be 36 and the next previous even integer 34. The sum of 34, 36, and 38 yields 108.
when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part
Answer:
40 and 60
Step-by-step explanation:
Sum of ratio=2+3
sum of ratio=5
Share of part 2=2/5*100
share of part 2=40
Share of part 3=3/5*100
share of part 3=60
Note:if you need to know any question please let me know.
samar wrote a list of three square numbers. which of the following could be on samars list?
A. 4, 6, 8
B. 4, 7, 10
C. 4, 8, 12
D. 4, 9, 16
Option A "4, 6, 8".
This is because when we multiply 2x2, we get 4, then we add +2 with 4, we get 6, then we add again +2 with 6, we get 8. So, a list of three square numbers is completed.
Therefore, Option A is the correct answer.
Thank You...
(Answered by Benjemin)
solve: y=3x and x+y=20
Answer:
x = 5, y = 15
Step-by-step explanation:
Use substitution to solve the system of equations.
We'll replace y in x + y = 20 with 3x, since y = 3x.
x + 3x = 20
Combine like terms
4x = 20
Divide by 4 on both sides
x = 5
Now to solve for y (don't forget!)
We'll plug x = 5 back into one of the original equations
y = 3(5) = 15
Check first equation:
15 = 3(5)
15 = 15
Check second equation:
5 + 15 = 20
20 = 20
Number 75: Find the length of side x.
Answer:
Step-by-step explanation:
Unless you know that the top angle is a right angle (an assumption you should never make, but I will do it here because there is no other way to do it.)
Find the missing side of the triangle that is on the bottom triangle
b^2 = c^2 - a^2
b = ?
c = 11
a = 10
b^2 = 11^2 - 10^2
b^2 = 121 - 100
b = sqrt(21)
Now using the fact that
b / 10 = 10 / (x - b)
We know b from the previous problem
b = sqrt(21)
So now cross multiply
b ( x - sqrt(21) ) = 100
sqrt(21) * x - 21 = 100 Add 21 to both sides.
sqrt(21)x = 121 Divide by sqrt(21)
x = 121/sqrt(21)
x = 26.4
My first inclination is to tell your teacher it is unsolvable. Or you can ask him or her to show you how it is done. If they think the assumption I have made is correct, then you have the answer. Technically however, there is no answer.
What are the equations?
1. Two more than the product of 3 and a number is -10. Determine the number.
2. The sum of three times a number and 20 is 11. Determine the number.
3. Seven-tenths of a number is 5.6 Determine the number.
Step-by-step explanation:
1. Let the number be a
2 + 3a = (-10)
3a = -10 - 2
3a = -12
a = -12/3 = -4.
2. Let the number be x
3x + 20 = 11
3a = 11 - 20
3a = -9
a = -9/3 = -3
3. Let the number be n
7x/10 = 5.6
x = 5.6 × 10/7
x = 56/7
x = 8
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Step-by-step explanation:
breadth=x
length is 5m long then breadth
length=x+5
Perimeter=2(length+breadth)
subtitute values in formula:
150=2(x+5+x)
2x+5=150/2
2x+5=75
2x=75-5
2x=70
x=70/2
x=35
breadth=35m
length= x+5
length=35+5
length=40m
[tex] \text{Let us assume the breadth be } \purple{\frak{a}}[/tex]
The length is 5m more than its breadth
[tex] \text{The length be} \: \green{\frak{a + 5}}[/tex]
Here we need to get both breadth and length by finding out a
[tex] \hookrightarrow \frak{{ \sf P}erimeter_{(Rectangle)} =2 (Length + Breadth)} \\ \\ \hookrightarrow \frak{150 =2 (a + 5 + a)} \\ \\ \hookrightarrow \frak{150=2 (2a + 5)} \\ \\ \hookrightarrow \frak{150=4a + 10} \\ \\ \hookrightarrow \frak{4a = 150 - 10} \\ \\ \hookrightarrow \frak{4a = 140} \\ \\ \hookrightarrow \frak{a = \cancel \frac{140}{4} } \\ \\ \star \quad \underline{\boxed{\frak{ \blue{a = 35}}}}[/tex]
[tex] \bigstar \underline{ \frak{Finding \: them}} : [/tex]
[tex] \qquad\odot \: \: \frak{Length = a + 5 = 35 + 5 = \pink{40m}} \\ \\
\qquad\odot \: \: \frak{Breadth = a= \pink{35m}}[/tex]
What is the slope of the line on the graph?? Plz help I have 54 mins remaining
Answer:
Answer is 1/3
Mark brainliest plz
what is rounded 6285 to the nearest hundred , would it be 6000? and why please
Answer:
6285 rounded to nearest hundred would be 6300.
6000 isn't right because you are rounding it to nearest thousand i.e. 6000.
Hope you get this
Answer:
No. It would be 6,300.
Step-by-step explanation:
To the nearest thousand, it would be 6,000.
To the nearest hundred, it would be 6,300.
To the nearest ten, it would be 6,290.
I hope this helped ^-^
xy-8 for x=3 and y = 5
Answer:
I hope this will help you
3*5-8
=15-8
=7
A quantity with an initial value of 850 grows continuously at a rate of 90% per
decade. What is the value of the quantity after 59 years, to the nearest hundredth?
Answer:
5400
Step-by-step explanation:
so 90% of 850 is 765 (0.90x850)
765 is 10 years
so 1 year is 765/10 = 76.5 per year. So 76.5x59 = 4,513.5 add the initial ammount and you got 5,363.5 in the nearest hundredth you get 5400
Answer:
171997.69
Step-by-step explanation:
See photo for explanation
How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)
Answer: It mentions how they fear the authority government, also I believe u meant "Power of fear"
Step-by-step explanation:
-4.27x10^4
Help please
Answer:
-42700
Step-by-step explanation:
if you are looking for a regular notion, simplified its -42700
What is the distance between 10 and -4
Answer:
the answer is 14
Step-by-step explanation:
10 pluss the 4 makes 14
Answer:
The distance between 10 and -4 is 14
Step-by-step explanation:
Because 10 plus 4 is 14 so the answer is 14,Hope it help you.
find the measures of the labeled angles
Answer:
4x° = (80 - x)°
Step-by-step explanation:
These angles are known as vertical angles. Vertical angles are equal to one another.
Answer:
64
Step-by-step explanation:
4x=80-x
16×4=64
80-16=
Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!
Answer:
The x which is not in the domain of the function is the root of the denominator
6) x+3=0, x=-3 is the x which is not in the domain of the function
7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function
8) x^2-16=0, x=±4 are the x which are not in the domain of the function
14.) Is 136 divisible by 5? yes O
Answer:
The answer is no
Step-by-step explanation:
Is because if we divide 136 by 5 is gonna give us 27.2 and we don’t want the decimal. So we can’t divide 136 by 5. Another method is you can you at the last digit in this case is 6, six is not in the table of 5 so always the answer is going to be in decimal. 136[tex]:[/tex]5= 27.2
I need help with this please
Answer:
1.
[tex]( - 2) - 8 \\ = - 10[/tex]
2.
[tex]2 - ( - 6) \\ = 2 + 6 \\ = 8[/tex]
3.
[tex]( - 7) + 1 \\ = - 6[/tex]
4.
[tex]( - 1) - 2 \\ = - 3[/tex]
5.
[tex]( - 4) + 4 \\ = 0[/tex]
6.
[tex]8 + ( - 7) \\ = 1[/tex]
7.
[tex]( - 1) + 6 \\ = 5[/tex]
8.
[tex]( - 2) + ( - 6) \\ = - 2 - 6 \\ = - 8[/tex]
im bad at math and i need help
Answer:
n•√n
here is an accurate representation
Si 22 patos tienen comida para 10 dias, si tenemos 5 patos ¿cuantos días tendrían comida?
Answer:
[tex]44[/tex]
Step-by-step explanation:
Formulate equation/expression:
[tex]22 \times 10 \div 5[/tex]
Calculate:
[tex] \frac{22 \times10 }{5} [/tex]
Reduce the fraction:
[tex]22 \times 2[/tex]
Calculate the product or quotient:
[tex]44[/tex]
Which company offers the best deals? Explain the answer.
Answer:
The best deal
Step-by-step explanation:
First of all what company is that?
And what type deal..?