Answer:
Step-by-step explanation:
So we would have to multiply the "2x - 8" by 5 each resulting in 10x - 40 + 15. Then we subtract which results in 10x - 25 = - 15. We add 25 to 25 and 15 resulting in 10x = 10. We divide each by 10 which results in x = 1.
At least 14 economy and at least 5 deluxe...total of 45 seats. He makes a bigger profit from selling economy seats....so we need the most economy seats we can get.
45 seats - 5 deluxe = 40 economy
so the most profit would be 40 economy and 5 deluxe
40 economy = (40 x 30) = 1200 profit
5 deluxe = (5 x 25) = 125 profit
for a maximum profit of : $ 1325
Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
Answer:
2:53
Step-by-step explanation:
I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.
Recall that 1 hour equals 60 minutes.
in the difference 4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:
4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .
Now the difference can be performed:
3:68 - 1:15 = (3-1):(68-15) = 2:53
