Answer:
5,790 K
Step-by-step explanation:
Hope this helps. :)
Answer:
360 miles
Step-by-step explanation:
let speed of plane be x
speed of wind be c
Also note D = RT, where
D is distance and R is rate and T is time
<u>For First Leg:</u>
we can write:
(x - c) * 2 = D
2x - 2c = D
<u>For Second Leg:</u>
we can write:
(x+c)*1.5 = D
1.5x + 1.5c = D
We can equate and write:
2x - 2c = 1.5x + 1.5c
0.5x = 3.5c
We know Speed of Wind, c, is 30, so we have:
0.5x = 3.5(30)
0.5x = 105
x = 105/0.5 = 210 [speed of airplane]
We know distance is
D = 2x - 2c
D = 2(210) - 2(30)
D = 420 - 60
D = 360 miles
The distance is 360 miles
Answer:
2.174 hours
Step-by-step explanation:
Let the number of hours be represented as:
x
The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour.
$12.79 + $0.11 × x
12.79 + 0.11x
At noon the price of Stock B was $13.29 It begins to decrease at the rate of $0.12 each hour.
$13.29 - $0.12× x
13.29 - 0.12x
Equating both equations together
Stock A = Stock B
12.79 + 0.11x = 13.29 - 0.12x
Collecting like terms
0.11x + 0.12x = 13.29 - 12.79
0.23x = 0.5
x = 0.5/0.23
x = 2.1739130435 hours
x = Approximately = 2.174 hours
If the two rates continue, the number of hours that the prices of the two stocks will be the same is 2.174 hours