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
jekas [21]
3 years ago
5

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

The tax in the first city was 6.5% and the tax in the second city was 4.5% The total hotel tax paid for the two cities was $582.50
. How much was the hotel charge in each city before tax?
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

You might be interested in
- 3√45-√ 125 + √200-√150
Murljashka [212]
-29.4102647752 the answer I think
4 0
3 years ago
Read 2 more answers
Identify the like terms.
Aloiza [94]
The correct answer is C: -3b and 4b.
7 0
3 years ago
Help???<br> Its a two step inequality problem. I dunno what X equals too.
Verizon [17]

Answer:

x \geq -1

Step-by-step explanation:

-4x + 2 \geq -6x

Add 6x to both sides:

-4x + 2 + 6x \geq -6x + 6x

2x + 2 \geq 0

Subtract 2 from both sides:

2x + 2 - 2 \geq 0 - 2

2x \geq -2

Divide both side by 2:

\frac{2x}{2} \geq \frac{-2}{2}

x \geq -1

5 0
3 years ago
Read 2 more answers
Find the unit rate 30 in per 5 years the unit rate is inches per year​
Ilya [14]

Answer:

6 inches per year/ 6;1

Step-by-step explanation:

30;5 can be simplified into a unit rate by dividing by 5. 30/5=6 and 5/5=1. So its 6 inches per one year

6 0
3 years ago
Please help steps thx
ExtremeBDS [4]

Answer:

240 cubic metres

Step-by-step explanation:

I'm not really sure for Q17 but I do know Q18.

Q18. Volume of cuboid = Length×Breadth×Height

=12×4×5

=240 cubic metres

hope it helps!!!

8 0
2 years ago
Other questions:
  • What is the length of this line? 30 POINTS!!
    6·2 answers
  • In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notati
    15·1 answer
  • Find the area. Round to nearest tenth.
    7·1 answer
  • Alex cycles at a speed of 10 miles per hour He cycles 6 miles from home to
    8·1 answer
  • Here are 12 boys and 8 girls in a class.
    12·2 answers
  • Are the random variables Xi and Xj , where i &lt; j, independent? Recall that two random variables X and Y are independent if P[
    9·1 answer
  • ALGEBRA! Answer these two with steps! For 10 points
    15·1 answer
  • James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagona
    13·1 answer
  • Wiich line plot displays a data set with an outlier
    7·1 answer
  • Doy coronita alguien responda
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!