1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katovenus [111]
2 years ago
12

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first

. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?
Mathematics
1 answer:
Inessa [10]2 years ago
3 0

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:

You might be interested in
The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
Natalija [7]

Answer:

The sample size should be approximately 151.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)

100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151

Thus, the sample size should be approximately 151.

6 0
2 years ago
Nick has 3 shirts: a white one, a black one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the p
Vikki [24]
There is a 1 out of 12, you could have a white shirt and blue pants and on and on with them all
5 0
1 year ago
Read 2 more answers
a regular square pyramid just fits inside a cube (the base of the pyramid is congruent to a face of the cube and the height of t
Tom [10]
The answer is larger in volume because the come is holow in the inside and that square pyrimid isn't
3 0
2 years ago
4y - 9 = 3 what is y
Iteru [2.4K]
4y - 9 = 3
add 9 to both sides
4y = 12
divide both sides by 4 so 4 divided by 4 is one and 12 divided by 4 is 3 thus getting your answer of 3
y=3
7 0
3 years ago
What is 5(-x) equal to?
Gnoma [55]

Answer:

?

Step-by-step explanation:

where are the options?

4 0
2 years ago
Other questions:
  • A line a
    11·2 answers
  • Use breaking apart to find the product for 9 ×36
    7·1 answer
  • Explain how you could use 25% of a number to find the number
    14·1 answer
  • What is 20% as an whole number
    10·1 answer
  • What is MPTR<br> (x + 28)<br> T<br> S<br> R<br> (2x + 16)
    12·1 answer
  • The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
    12·1 answer
  • Karla has a younge sister and an older brother.Her younger sister is 3 years more than a half of karla's age . Her older brother
    8·1 answer
  • The postal service offers flat-rate shipping for priority mail in special boxes. Today, Kylie shipped 4 small boxes and 4 medium
    7·1 answer
  • The range of the set of the values 7, 3, 6, 9 and 5 =
    7·1 answer
  • The binary operation* is defined on the set R of real numbers by X*Y = 3x + 3y - xy for all X , y E R. determine on the terms of
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!