Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Answer:
<em>18x² - 84x + 96</em>
Step-by-step explanation:
(5 × 2 - 6x + 2) × (4 × 2 - 3x)
5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 48x + 18x² - 6x
96 - 84x + 18x²
18x² - 84x + 96
Hope this helps! :)
Octagon:
= [(8-2)×180]÷8
= 135
Angle of LMN is:
= 360-135-60
= 165
Angle of EMN is:
= 180÷3
= 60
The number of side is :
[(n-2)×180]÷n = 165
(180n-360)÷n = 165
180n-360 = 165n
180n-165n = 360
15n = 360
n = 360÷15
n = 24
So, the number of side of the regular polygon R is 24.
3/14 chance. There are 1 more red marble, and 4 more green marbles. The probability of a blue marble is low, but could still happen.
Answer:
Step-by-step explanation:
C = 2 r
C = 16
= 2 ÷ =