Two friends are planning a vacation. They are deciding between Arizona and New York. The airfare for Arizona is $95 per person and the airfare for New York is $150 per person. The hotel in New York is $120 per night and the hotel in Arizona is $150 per night. They would share a hotel room. After how many nights would the trip's cost be equal to each other?

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Let number of nights spent in both the locations be [tex]x[/tex]

Airfare for Arizona for 2 persons for two way journey = [tex]95\times 4=\$380[/tex]

Airfare for New York for 2 persons for two way journey = [tex]150\times 4=\$600[/tex]

Cost of night spent in Arizona = [tex]150x[/tex]

Cost of night spent in New York = [tex]120x[/tex]

Cost of going and coming back from Arizona = [tex]380+150x[/tex]

Cost of going and coming back from New York = [tex]600+120x[/tex]

Now the costs should be equal so

[tex]380+150x=600+120x\\\Rightarrow 150x-120x=600-380\\\Rightarrow x=\dfrac{220}{30}\\\Rightarrow x=7.33\ \text{nights}[/tex]

The number of nights is approximately 7 at which the cost of the trip becomes equal.


Related Questions

IF U HELP U GET BRAINLISTED the difference of a number and six is the same as five times the sum of a number and 2 what is the number​

Answers

Answer:

[tex]let \: the \: number \: be \: x \\ x - 6 = 5(x + 2) \\ x - 6 = 5x + 10 \\ 4x = - 16 \\ x = - \frac{16}{4} \\ x = - 4 \\ the \: number \: is \: - 4[/tex]

Mia, Thomas, and Jasmine are competing in a barrel race. Thomas's time is 8 seconds more than Mia's time. Jasmine's time is į times the quantity of 21 seconds more than Mia's time. The sum of all three times is 71 seconds. what represents this situation and what is the value of m

Answers

Given that,

Thomas's time is 8 seconds more than Mia's time.

Jasmine's time is į times the quantity of 21 seconds more than Mia's time

The sum of all three times is 71 seconds.

To find,

The value of m.

Solution,

Let Mia's time is m.

Thomas's time = 8+m

Jasmine's time = 21 + 8+ m

ATQ,

m + 8 + m + 21 + 8 + m = 71

3m + 37 = 71

3 m = 71 - 37

m = 34/3

m = 11.34

So, the value of m or Mia's time is 11.34 seconds.

Answer:

m+1/3(m+21)+m+8=71, m=24

Step-by-step explanation:

Helen drives 195 miles in 3 hours
A) what is her average speed in mph

Answers

Answer:

First 195 dived by 3, then the answer is 65.

Jordan is running sprints across a football field. He runs 30 yards in 6 seconds. At what
rate is Jordan running in yards per second?

Answers

Answer:

= 5 yards per second

Step-by-step explanation:

Have A Wonderful Day !!

Mr. Wood wants to put a carpet in his brand new classroom. He is going to install a carpet that is 14 feet long and 9.5 feet wide. What is the total area of the new carpet?

Answers

Answer:

133 feet²

Step-by-step explanation:

To find the area of a shape you need to use the the formula "length(L) times(×) width(W)". In this problem it gives you both the length and width which means you just need to multiply the two numbers to get your answer. (You need to add feet because that's what is being used in the problem and ²(squared) because area is measured in square units.

simplify (h^2)^-3 this equation

Answers

Step-by-step explanation:

By Law of Indices, (a^m)^n = a^(mn).

Hence (h²)^(-3) = h^(-6) or 1/h⁶.

Answer:

[tex] { ({h}^{2}) }^{ - 3}= {h}^{(2 \times ( - 3))} = {h}^{( - 6)} = \frac{1}{ {h}^{6} } \\ [/tex]

1/h⁶ is the right answer.

You are shopping for school supplies. There is a sign at the front of the store advertising that you can either buy 4 binders and 4 notebooks for $17.00, or you can buy 2 binders and 6 notebooks for $15.50. Assume that the prices of binders and notebooks are constant. You have $30 total.

I. 6 binders and 8 notebooks

II. 8 binders and 6 notebooks

III. 12 binders

Which of the following combinations can you afford?
A. I only
B. I and II
C. I and III
B. II and III

Answers

Answer:

A) I only

Step-by-step explanation:

a mathematical statement that two or more expressions are equal.

Answers

an equation is a mathematical statement that two expressions are equal

* Select all the expressions whose value is larger than 100.
A 120% of 100
50% of 150
C250% of 50
20% of 800
E 200% of 30
G 19 of 1,000

Answers

I’d say 20% of 800, 19 of 1,000, and 250% of 125

Hope this helps

John is making 40 pies and he needs 1.5 cups of flour for each pie. If he buys bags of flour with 10 cups of flour on each bag. How many bags total will he need to make 40 pies?

Answers

Since each pie requires 1.5 cups of flour,
then 40 pies required 60 bags of flour (40 times 1.5 )
After that we divide 60 by 10 ( ten is the number of cups of flour in each bag ) then we get 6 bags of flour
Thus, to make 40 pies we need 6 bags of flour

What is the slope-intercept form of the function described by this table? x 1 2 3 4 y 8 13 18 23 Enter your answer by filling in the boxes. y = x +

Answers

Answer:

y = 5 x + 3  

Step-by-step explanation:

I took the quiz

Question 7 Mai wants to construct a regular hexagon inscribed in the
circle centered at C. Will these instructions work to finish the hexagon
from the construction given? Why? Step 1 Draw the circle centered at D
with radius CD. Step 2 Mark the intersection of the circle with the circle
centered at C, and label that point E. Step 3 Draw the circle centered at E
with radius DE. Step 4 Mark the intersection of the circle with the circle
centered at D, and label that point F. Step 5 Connect ABCDEF to make a
regular hexagon.



Answers

Answer:

Yes

Step-by-step explanation:

Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why

Answers

The quadrilateral is a rhombus because the diagonals are perpendicular.

please help me finish this problem of pythagorean theorem model.​

Answers

Answer:A= 13^2= 169

Step-by-step explanation:

Use the pythagorean theorem

3 Dave can drive from Abdet to Bentall by two routes. The old route goes in roughly a straight line while the new faster route is 26% longer. Dave's average speed on the new faster route is 40% higher than his average speed on the old route. (a) By what percentage is Dave's journey time reduced by taking the new route compared to the old? [2]

Answers

Answer:

10 % of the total time will be saved on the new route with the new speed.

Step-by-step explanation:

Let x miles  be the old route. Then the new route would be 1.26 x miles

Let y be the speed on the old route . Then the speed on the new route would be 1.4 y .

And let t be the time on the old route

Speed = Distance / Time

or

Time = Distance / Speed

t= x/y

     Time for the new route   = 1.26x/ 1.4y= 0.9 t

0.9 t means 90% of the old time will be required to cover 1.26x  miles with 1.4 y speed.

And 10 % of the total time will be saved on the new route with the new speed.

What is 12ab+6ab

Please

Answers

12ab+6ab
The answer is


= > 18ab


If a graph fails the vertical line test, what does that mean?
The graph is not a domain.
The graph is not an order pair.
The graph is not a relation.
O The graph is not a function.

Answers

Answer:

the graph is not a function

Step-by-step explanation:

It is not a function because it was more than 1 x value per a y

Please help with this math problem I’ll mark you brainiest

Answers

SRW= 116
SRT= 58
I think, I’m not sure !

What is the slope of y=-x+7

Answers

Answer:

-1

Step-by-step explanation:

This is the slope because x is the slope, and if there is no number in front of x then x is 1. There is also a negative in front of x which means the answer is -1.  

The slope of the equation y = -x + 7 equals -1.

Can u help me pls
This homework was due last week
I really need help
thx xxx

Answers

the answer is 5

ratio 4:10 simplified : 2:5

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

Read more on system of equations:

https://brainly.com/question/20978003

1.3.PS-44 Question Help A housekeeper had 2 3 of a spray bottle of a cleaning solution. She used 1 4 of the solution in a day. How much of the bottle did she ​use?

Answers

Answer:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

Step-by-step explanation:

Amount of cleaning solution present in spray bottle = [tex]\frac{2}3[/tex] of the bottle

Amount of cleaning solution present in the spray bottle used = [tex]\frac{1}4[/tex] of the cleaning solution present initially

To find:

How much of the bottle was used?

Solution:

Here, we need to find how much amount of the cleaning solution spray was used from the complete bottle.

Amount of spray used = [tex]\frac{1}{4}\times \frac{2}{3}[/tex] of the cleaning solution = [tex]\bold{\frac{1}{6}}[/tex] of the cleaning solution.

Therefore, the answer is:

[tex]\bold{\frac{1}{6}}[/tex] of the bottle was used

inequality n < -5
HELPPP ASAPPP

Answers

Answer:

please give me a brainless 0

Inequality :

α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x

The following is as far as I get:

α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x

(n−1)a−(⌊n÷m⌋×(a−b))≥x−α1

n−1−(⌊n÷m⌋×(a−b))≥x−α1a

n−(⌊n÷m⌋×(a−b))≥x−α1a + 1

Step-by-step explanation:

HELP ME QUICKLY DUE TODAY

Answers

I can help but i can’t see the full question.Just comment it i’ll help!

helpppp !

preston can paint 375 square feet in 3 hours . at the same rate how long would it take him to paint 812.5 square feet ?

a ; 0.15 hours
b ; 1.4 hours
c ; 7.5 hours
d ; 6.5 hours

Answers

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

Answer:

It would take D.)6.5 hours to paint 812.5 square

Step-by-step explanation:

Which relationship is an example of a proportional relationship?
helppp?

Answers

Answer: “samuel earns $20 for each lawn he mows”

Step-by-step explanation:

The statements that represent proportional relationship are statement [1], [2] and [4].

What is proportional relationship? What is equation modelling? What is a mathematical equation and expression?The proportional relationship between [y] and [x] is given by -

        y = mx + c

        for [c] = 0

        m = y/x

        where [m] is the constant of proportionality.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given are some statements depicting proportional relationship.

For the statement [1], we can write the equation as -

y = 0.08x + 59

For the statement [2], we can write the equation as -

y = 25x + 45

For the statement [1], we can write the equation as -

y = 20x

Therefore, the statements that represent proportional relationship are statement [1], [2] and [4].

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

Which choice is equivalent to the expression below?
2^7.19

Answers

Answer:

B

Step-by-step explanation:

Exponents Law:

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

In exponent multiplication, if bases are same, add the powers(exponents).

Write 7.19 in expanded form: 7.19 = 7 + 0.1 + 0.09. Now apply the exponent rule.

[tex]2^{7.19}=2^{7+0.1+0.09}\\\\=2^{7}*2^{0.1}*2^{0.09}\\\\= 2^{7}*2^{\frac{1}{10}}*2^{\frac{9}{100}}[/tex]

what is the value of u

Answers

Answer:

I think the value of u is 74.

can someone please tell me what 76% of 180 is i thought i for sure got it right but i didnt , HELP!!!

Answers

Answer:

136.8

Step-by-step explanation:

76 percent *180 =

(76:100)*180 =

(76*180):100 =

13680:100 = 136.8

Factor completely. 3x2 + 8x + 5​

Answers

Answer:

(x + 1)(3x + 5)

Step-by-step explanation:

[tex]3 {x}^{2} + 8x + 5 \\ \\ = 3 {x}^{2} + 3x + 5x + 5 \\ \\ = 3x(x + 1) + 5(x + 1) \\ \\ = (x + 1)(3x + 5)[/tex]

Answer:

The answer is (x+1)(3x+5)

let me know if this helps:)

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