Question 13<br> If the nth term of a sequence is<br> 6n + 4 what is the 9th term?

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 mi

Anestetic [448]

Answer: the speed of the wind is 365 mph

Step-by-step explanation:

Let x represent the speed of the wind.

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.

Time = distance/speed

Time spent in flying with the wind is

2716/(365 + x)

In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.

Time spent in flying against the wind is

2394/(365 - x)

Since the time is the same, it means that

2716/(365 + x) = 2394/(365 - x)

Cross multiplying, it becomes

2716(365 - x) = 2394(365 + x)

991340 - 2716x = 873810 + 2394x

2394x + 2716x = 991340 - 873810

5110x = 1865150

x = 1865150/5110

x = 365 mph

5 0

3 years ago

In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red, and 2 slots are green.

topjm [15]

Answer:

green. You watched a friend play roulette for two hours. In that time you noted that the wheel was spun 50 times and that out of those 50 spins black came up 22 times. Based on this data, the This is an exgreen. You watched a friend play roulette for two hours. In that time you noted that the wheel was spun 50 times and that out of those 50 spins black came up 22 times. Based on this data, the This is an ex

Step-by-step explanation:

green. You watched a friend play roulette for two hours. In that time you noted that the wheel was spun 50 times and that out of those 50 spins black came up 22 times. Based on this data, the This is an ex

8 0

2 years ago

in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in

Shalnov [3]

Answer:

total question =90

she obtained 75% of first 40 questions

No. of question she got correct in first 40 = 75% * 40 = 30

2. in order to get 80% out of 90,

the no. of questions got correct by Ama = 80% * 90 = 72

3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42

percentage = 42/50*100% = 84%

3 0

3 years ago

Is -4 a solution to the the equation 5+(-8)n=29

Gala2k [10]

No because when -4 is substituted in for n the answer is 37 so it is not true

3 0

3 years ago

Find the value of x - Secant and Tangent Angles in Circles

VladimirAG [237]

Answer:

C. 70°

Step-by-step explanation:

The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.

The external angle marked 20° is half the difference of the intercepted arcs, so is ...

20° = (1/2)(x - 30°)

40° = x - 30° . . . . . . multiply by 2

70° = x . . . . . . . . . . . add 30°

The value of x is 70°.

6 0

3 years ago

Question 13 If the nth term of a sequence is 6n + 4 what is the 9th term?