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
Step-by-step explanation:
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<u>Inverse</u>
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Ok first we calculate the length of board without losses:
4 * 11.5 = 46 inches
then, we have 1 inch of waste allowed fir each piece, so the total waste is 4*1 = 4 inches
finally, we will add the length of the waste to the desired length to get the total length of the board as follows:
total length of board = 46+4 = 50 inches
Answer:
x<2
Step-by-step explanation:
x- 2 <0
x < 2