Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
52 4/5 is the mixed number form and the exact form is 264/5
Answer: The rule is when rotating 90 degrees, it's (-y, x), 180 degrees is (-x, -y), and 360 degrees is (y, -x). Just plug in the numbers accordingly, and you should get the correct answer. It worked for me <3.
A) Scale of map is 1: 30,000
This is assuming that it meant 1 centimetre = 30,000 metres, for it gives no other information.
Multiply 1 with 30,000: 30,000 x `1 = 30,000
30,000 metres is your answer.
B) Scale is 1 inch: 6 miles. You are given 2.5 inches.
Remember that 1 inch = 6 miles.
Multiply 2.5 to both sides: (2.5) * 1 inch = (2.5) * 6 miles
2.5 inch = 2.5 * 6 miles
2.5 inch = 15 miles
15 miles is your answer.
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