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:
Xena earns $144 per a week.
Step-by-step explanation:
Harry earns - $ h
Xena earns - $ x
George earns -$ g
Harry earns $45 a week more than Xena. h= x+45
George earns $18 a week less than Xena. g = x - 18
If Harry earns the same amount in two weeks that George earns in three weeks
2h = 3g
So, we have the system of 3 equations:
h= x+45
g = x - 18
2h = 3g (*)
Substitute values of h and g into equation (*)
2(x+45) = 3(x-18)
2x + 90 = 3x - 54
90+54 = 3x- 2x
x= 144
Incomplete question. The full question read;
The producer of the news station posted an article about the high school’s football championship ceremony on a new website. The website had 500 views after four hours. Create a table to show how many views the website would have had after the first, second, and third hours after posting if the website receives views at the same rate. How many views would the website receive after 5 hours?
Answer:
<u>625 views</u>
Step-by-step explanation:
<em>Remember,</em> we are told to <u>base our calculation on the assumption that the website receives views at the same rate.</u>
Hence, if after 4 hours there were 500 views, it means the average views per hour would be 500/4 = 125 views. So for every hour, there would be 125 added views to the total.
In other words,
First hour: <u>125 views</u>
Second hour:<u> </u><u>250 views (125 views + 125 views</u>)
Third hour: <u>375 views (250 views + 125 views)</u>
Fourth hour: <u>500 views (375 views + 125 views)</u>
Fifth hour:<u> 625 views (500 views + 125 views)</u>
Answer:
-27.2
Step-by-step explanation:
We need the object and the characteristics.