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vredina [299]
3 years ago
12

At maximum speed, an airplane travels 2460 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sam

e distance in 5 hours.
Let x the maximum speed of the plane and y be the speed of the wind. What is the speed of the plane with no wind?
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0
Let x the maximum speed of the plane and y be the speed of the wind.

We know that:
1)Distance = speed x time
2) if the head wind is y, then the resulting speed is x-y (against the wind)
3) if the tail wind is y, then the resulting speed is x+y (with the wind)

1) and 2): 2400 = (x-y).(6) or 6x-6y = 2400

1) and 3): 2400 = (x+y).(5) or 5x+5y = 2400

Hence the system of 2 equation:

6x - 6y = 2400
5x + 5y = 2400.
Solving it gives  x = 440 mi/h and y = 40 mil/h
Then the speed of the plane with no wind is 440 km/h

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The population of California is 3.88 x 10^7 - 5.84 x 10^5 = 3.82 x 10^7 more than the population of Wyoming. Alternatively the population of California is 3.88 x 10^7 / 5.84 x 10^5 = 66 times the population of Wyoming. 

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8 0
3 years ago
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Conni
Levart [38]

Answer:

43

Step-by-step explanation:

172/4= 43

4 0
3 years ago
1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions
Vesna [10]

Answer:

3 ft by 8 ft

Step-by-step explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft

4 0
3 years ago
WHO EVER GOES FIRST GETS BRAILY
Ira Lisetskai [31]

Answer:

C.) i belive this is the correct one

Step-by-step explanation:

7 0
3 years ago
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