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)
Answer:
B = -3
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
If the gas tank holds 5 liters and you have 20 liters, then 20/5 = 4 times it will fill it up.
Answer:
There are 20 ducklings.
Step-by-step explanation:
For every group of 6 ducks, 5 would be ducklings.
24 / 6 = 4
There are 4 groups of ducks.
5 * 4 = 20
Answer:
A. x > -1
Step-by-step explanation:
- (x - 3) < 4 (2 + x)
-x + 3 < 8 + 4x
-5x + 3 < 8
-5x < 5
x > -1
Therefore, answer choice A is the correct answer.
