Annie and Maria traveled overseas for days and stayed in three different hotels in three different cities: Stockholm, Sweden; Oslo, Norway; and Paris, France. The total bill for all nights (not including tax) was . The total tax was . The nightly cost (excluding tax) to stay at the hotel in Paris was more than the nightly cost (excluding tax) to stay in Oslo. Find the cost per night for each hotel excluding tax.
Answers
Answer:
The answer is below
Step-by-step explanation:
Annie and Maria traveled overseas for 7 days and stayed in three different hotels in three different cities: Stockholm, Sweden; Oslo, Norway; and Paris, France.
The total bill for all seven nights (not including tax) was $1040. The total tax was $106. The nightly cost (excluding tax) to stay at the hotel in Paris was $80 more than the nightly cost (excluding tax) to stay in Oslo. Find the cost per night for each hotel excluding tax.
Solution:
Let x represent the cost per night to stay in Paris (France), let y represent the cost per night to stay in Stockholm (Sweden) and let z represent the cost per night to stay in Oslo (Norway).
They spent 1 night in Paris, 4 nights on Stockholm and 2 nights in Oslo, hence:
x + 4y + 2z = $1040 (1)
They were taxed 8% in Paris, 11% in Stockholm and 10% in Oslo, hence:
(8% of x) + (11% of 4y) + (10% of 2z) = $106
0.08x + 0.44y + 0.2z = 106 (2)
Also, The nightly cost (excluding tax) to stay at the hotel in Paris was $80 more than the nightly cost (excluding tax) to stay in Oslo. Hence:
x = z + 80
x - z = 80 (3)
Solving equations 1, 2 and 3 simultaneously gives:
x = $200, y = $150 and z = $120
Therefore they spent $200 per night in Paris, $150 per night in Stockholm and $120 per night in Oslo.
Related Questions
PLEASE ANSWER THIS ALSO!!!
Answers
Answer:
Options (A), (C) and (E)
Step-by-step explanation:
Given equation is,
-3x + 7 = -5 + x
-3x + 7 - 7 = -5 + x - 7
-3x = -5 + x - 7 Option (C)
-3x = x - 12
-3x - x = -12
-4x = -12 Option (A)
4x = 12 Option (E)
[tex]\frac{4x}{4}=\frac{12}{4}[/tex]
x = 3
Therefore, Options (A), (C) and (E) are the correct options.
Un agricultor a adus la piață 18 saci cu câte 42 de kg de cartofi și 28 de saci cu câte 36 kg de vinete Ce cantitate de legume a adus țăranul la piata
Answers
Answer:
the number of vegetables did farmer bring to the market is 1764 vegetables
Step-by-step explanation:
The calculation of the number of vegetables did farmer bring to the market is given below:
= 18 bags × 42 kgs + 28 bags × 36 kgs
= 756 + 1008
= 1764 vegetables
Thus, the number of vegetables did farmer bring to the market is 1764 vegetables
the product of Diego's height and 3is 57
use the variable d to represent Diego's height
Answers
Answer:
Step-by-step explanation:
Let diago's height be d
d into 3=57
3d=57
d=57/3
d=19
diago's height=19 units
A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.8. If he takes the large car, he is on time to work with probability 0.6. Given that he was at work on time on a particular morning, what is the probability that he drove the small car
Answers
Answer:
0.8 = 80% probability that he drove the small car
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being at work on time.
Event B: Driving the small car.
Probability of being at work on time:
0.8 of 0.75(small car).
0.6 of 0.25(large car). So
[tex]P(A) = 0.8*0.75 + 0.6*0.25 = 0.75[/tex]
At work on time, using the small car:
0.8 of 0.75
So
[tex]P(A \cap B) = 0.8*0.75 = 0.6[/tex]
What is the probability that he drove the small car
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6}{0.75} = 0.8[/tex]
0.8 = 80% probability that he drove the small car
3x(x + 6) = -10
Enter your solution in the exact, most simplified form. If there are two solutions, write the answer using the ± symbol. DESCRIBE AND JUSTIFY THE METHODS YOU USED TO SOLVE THE QUADRATIC EQUATION!
Answers
Answer:
Step-by-step explanation:
Expand it: [tex]3x^2 + 18x = -10[/tex]
Add 10 to both sides: [tex]3x^2 + 18x + 10 = 0[/tex]
Divide both sides by 3: [tex]x^2 + 6x + \frac{10}{3} = 0[/tex]
Find a, b for [tex](x + a)^2 + b = x^2 + 2x + a^2 + b \overset{!}{=} x^2 + 6x + \frac{10}{3}[/tex]
It’s [tex]a = \frac{6}{2} = 3 \land b = \frac{10}{3} - a^2 = 3 + \frac{1}{3} - 9 = -6 + \frac{1}{3}[/tex]
So, inserting it leads to: [tex](x+3)^2 -6 + \frac{1}{3} = 0[/tex]
Subtract b from both sides: [tex](x+3)^2 = 6-\frac{1}{3}[/tex]
Apply square root to both sides and consider the two solutions: [tex]x + 3 = \pm\sqrt{6-\frac{1}{3}}[/tex]
Subtract 3 from both sides and you get [tex]x = -3 \pm \sqrt{6 - \frac{1}{3}}[/tex]
Answer:
I think it's x = - 9 - √51/3 , -9 + √51/3
Which graph is a function of x?
Answers
Answer:
Step-by-step explanation:
No picture. But a function must satisfy the vertical line test. Which means that each value of x has only one value for y. If a graph shows two values for y for a single value of x it is not a function.
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Answers
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answers
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
¿Cuál es el resultado de (-2)(-3)*(-1)x 5?
Answers
-2*-3=6
-1*5=-5
6 x -5=-30
The exact same experiment was conducted 14 times. How many times should the results have been similar for them to be valid?A.8B.5C.14D.7
Answers
Answer:
I would have to say C.14
Step-by-step explanation:
Because if you are running the same exact emperiment with the same exact materials everytime then you should get the same outcome.
Hope this helps! : D
please help me ASAP!!!
Answers
Answer:
18
Step-by-step explanation:
parallel lines cut by a transversal are proportional, thus we can set up a ratio to solve for the missing value
7/14 = 9/x
7x = 126
x = 18
For a baseball game, organizers estimate that 15,000 people will attend if it is not raining. If it is raining, organizers estimate that 9,000 people will attend. On the day of the game, meteorologists predict a 60% chance of rain. Determine the expected number of people who will attend this game.
Answers
Answer:
9,000
Step-by-step explanation:
This question seems to be somewhat incomplete, but 60% is above 50 and we round if its above 5, which essentially gives the answer.
marta has a lower probability of winning than Elena has. Which could be the outcome that marta needs to win the game? select three options.
Answers
Answer:pic
Step-by-step explanation:
Can someone help me on this place I will mark brianliest ( also in note if you dont want to help then dont help me and if your going to be rude like saying do it yourself please keep that to yourself and be considerate with your manners thank you ^^
Answers
Answer:
That is an entire worksheet. Also just download PhotoMath on your phone and it will give you the answers.
Step-by-step explanation: I'll get you started
1) 1
2) 2
3) 4
4)
5) 20
6) 1
7) 2
8) 20
Answer:
1. 1/2
2. 2/3
3. 4/7
4. 10/25
5. 20/40
6. 1/10
7. 2/6
8. 20/90
9. 27/36
10. 1/6
11. ?
12. 2/5
13. 2/3
14. 11/12
15. 17/25
16. 2/8
17. 6/7
18. 42/70
Step-by-step explanation:
Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose
Answers
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
A factory ships 225 boxes to fill an order. The total price of the parts un each box is $3990. What is the total value of the shipment?
Answers
Answer:
$897750
Step-by-step explanation:
3990 x 225 = 897750, so the total price of the shipment is: 897750
Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants to put an equal number of blueberries and an equal number of raspberries into each cup. She uses all the berries. How many cups does she make {Use G.C.F.}
Answers
Answer:
Number of blueberries = 36
Number of raspberries = 45
You need to find the Number in Each.
HCF Of 36 and 45 =is 9
This answer is
36/9
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. What is the temperature in the city at 4 am? *
20 degrees
-3 degrees
7 degrees
-6 degrees
Answers
Answer:
it is 3 ... 75 percent sure
What is the volume of the following rectangular prism?
3/20 units^2
2/3 units
Answers
Answer:1/10^3
Step-by-step explanation:
3/20×2/3=1/10^3
Area of the base×height
Hope it helps❤
Step-by-step explanation:
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1).
User avatar
MM
Posts: 82
Joined: Tue Jul 22, 2008 7:36 am
Location: Bulgaria
Reputation: 7
\-x+sqrt1−x
2
\-=sqrt2(2
Donovan is training for a marathon. He currently can run 1 lap around the track in 0.85 minutes. How long will it take him to run 12.5 laps?
ASAP
Answers
Answer:
10.625
Step-by-step explanation:
Answer:
10 minutes and 37.5 seconds
Step-by-step explanation:
0.85 is 51 seconds. I will be using this because it is easier for me.
Multiply 51 • 12 = 612 seconds for 12 laps. Divide 612 ÷ 60 = 10.2. You get 10.2 minutes. This is 10 minutes and 12 seconds for 12 laps.
Divide 51 by 2 to find how long it takes for 1/2 a lap. You will get 25.5 seconds for half a lap.
Add them together: 10 min 12 sec + 25.5 sec = 10 minutes and 37.5 seconds
plz help asap!!!
Imagine you are hanging two identical picture frames. Each frame is 28 inches wide and the wall you are hanging them on is 10 feet wide. There needs to be 8 inches of space in between the two frames. How far do the frames need to be from the left and right side of the walls in order to be centered?
Answers
Answer:
27 inches from each side to be centered
Step-by-step explanation:
An electrician charges $20 for a service call plus $40 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
Answers
Answer:
Step-by-step explanation:
Regular charge- $20
Every hour of service cost- $40
Equation or slope intercept form-
C= 40h+20
Part 1- 20+40(8)=
40 multiplied by 8 320+20 = $340
Part 2- 20+40(10)=
40 multiplied by 10 400+20 = $420
how do the graphs of f(x)= x and g(x)= 3|x| relate
a.
The graph of g(x) is the graph of f(x) stretched vertically.
c.
The graph of g(x) is the graph of f(x) shrunk vertically.
b.
The graph of g(x) is the graph of f(x) shifted down 3.
d.
The graph of g(x) is the graph of f(x) shifted up 3.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer: a.) The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation: hope that helps! < 3
In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\circ,$ then what is the measure of $\angle KAT$?
Answers
Answer:a
Step-by-step explanation:
Answer:
Hey kroy21; the answer is 23°.
Step-by-step explanation:
Angle YAO and angle KAT are both complementary to angle OAK.
Angle OAK= 90°- Angle YAO
= 90° - 23°
= 67°
Then:
Angle KAT= 90° - Angle OAK
=90° - 67°
=23°
Hope this helps!!!
:o)
Find the length of side x in simplest radical form with a rational a
denominator.
Answers
Step-by-step explanation:
[tex] \cos(30) = \frac{x}{4} \\ x = 2 \sqrt{3} [/tex]
identify ROTATIONS
WHICH COLOR
SHOWS THE
ORANGE SHAPE
ROTATED 270°
COUNTER-
CLOCKWISE?
?
Answers
Answer:
blue
Step-by-step explanation:
270° moves by 3 quadrants
Answer:
Blue
Step-by-step explanation:
Rotate 1/2 circle (180°) counterclockwise and you go through the yellow to the green.
Go another 1/4 circle (90°) and you get to the blue.
180° + 90° = 270°
A statistician is looking at 2 data sets. Data Set A has a mean of 7 5 points
and a standard deviation of 2.3. Data Set B has a mean of 7 and a
standard deviation of 5.1. Which of the following statements is
true?
A. Since two means are equal, the two data sets are identical.
B. The data values in Data Set A are more spread out than the data values in Data Set B.
C. The data values in Data Ser B are more spread out than the data values in Data Set A.
D. Statements a and ax are both correct.
Answers
1. List all the possible rational solutions for each equation.
a. 4x4 + 13x3 - 124 x2 + 212x - 8 = 0
Answers
Answer:
x=−7.974656,0.038604
Step-by-step explanation:
4x4+13x3−124x2+212x−8=0
Brainleist please
The possible rational solutions for the given equation are x= −7.974656 and 0.038604.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is [tex]4x^4+13x^3-124x^2+212x-8=0[/tex].
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Substitute x= ±1, ±1/2, ±1/4, ±2, ±4, ±8 in the given equation and verify
When x=1,
[tex]4(1)^4+13(1)^3-124(1)^2+212(1)-8=0[/tex]
⇒ 4+13-124+212-8=0
⇒ LHS ≠RHS
When x= -1
[tex]4(-1)^4+13(-1)^3-124(-1)^2+212(-1)-8=0[/tex]
⇒ 4-13-124-212-8=0
⇒ LHS ≠RHS
When x=1/2
[tex]4(\frac{1}{2} )^4+13(\frac{1}{2} )^3-124(\frac{1}{2} )^2+212(\frac{1}{2} )-8=0[/tex]
⇒ 1/4 +13/8 -31+106-8=0
⇒ LHS ≠RHS
When x=-1/2
[tex]4(-\frac{1}{2} )^4+13(-\frac{1}{2} )^3-124(-\frac{1}{2} )^2+212(-\frac{1}{2} )-8=0[/tex]
⇒ 1/4 -13/8 -31-106-8=0
⇒ LHS ≠RHS
Similarly Find every combination of ±p/q, where p is a factor of the constant and q is a factor of the leading coefficient.
Here, x= −7.974656 and 0.038604
Therefore, the possible rational solutions for the given equation are x= −7.974656 and 0.038604.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Answer the question below.
Answers
Answer: H
Step-by-step explanation:
Point C line CB line segment CA and ray CD
Help me solve for the maximum occurring point
Answers
Answer:
xy+y7
Step-by-step explanation: