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
Answer:
2,349.6 ml
Step-by-step explanation:
To start solving this, i realized that there was a difference in the units given and the units asked for in the answer, so I converted 2.937 grams to 2,397 mg. It is given that there are 2.145 mg of the drug in 1.716 mL, so set up the equation 2.145 / 1.716 = 2,937 / x, where x is the mL of the drug needed. Cross multiply to get 5039.892 = 2.145 x. Divide by 2.145 and get 2,349.6 ml
Answer:
perimeter of triangle=sum of all sides
perimeter of triangle = 3/10ft + 3/10ft + 1/10ft
perimeter of triangle =7/10ft
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold
Answer:
d = 1
Step-by-step explanation:
1.5 - 0.5 = 1
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