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Sergio039 [100]
2 years ago
14

two trains leave a station at the same time. one train is traveling north at a rate of 30 mph and the other train is traveling e

ast at a rate of 40 mph. after 5 hours, how far apart are they in miles
Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0

After 5 hours, the northbound train is

(30 mph) (5 h) = 150 mi

north of the station, while the eastbound train is

(40 mph) (5 h) = 200 mi

east of the station.

The distance between the trains is the length of the hypotenuse in the right triangle formed by the trains' paths. By the Pythagorean theorem, this distance is

\sqrt{(150\,\mathrm{mi})^2 + (200\,\mathrm{mi})^2} = \sqrt{62,500\,\mathrm{mi}^2} = \boxed{250\,\rm mi}

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Flying against the wind, an airplane travels 4560 kilometers in 6 hours. Flying with the wind, the same plane travels 3720 kilom
Flura [38]

Answer:

The speed rate of the plane in still air is 1006.67 km/h

The speed rate of the wind is 246.67 km/h

Step-by-step explanation:

To answer the question, we let the speed of the plane in still air = x  km/h

Let the speed of the wind = y km/h

Therefore,

4560/(x - y) = 6 hours and

3720/(x + y) = 3 hours

4560 = 6·x - 6·y.........(1)

3720 = 3·x + 3·y ........(2)

Multiplying equation (2) by 2 and add to (1) gives

12080 = 12·x

x = 12080/12 = 1006\frac{2}{3} km/h

Substituting the value of x in (1) gives

4560 = 6040 - 6·y

6·y = 1480

y = 1480/6 =  246\frac{2}{3}

The speed rate of the plane in still air = 1006.67 km/h

The speed rate of the wind = 246.67 km/h.

7 0
4 years ago
Which fraction has a value thats equal to 7/8? <br> A) 49/64<br> B) 21/24<br> C) 15/8<br> D) 56/8
serg [7]
You answer is B you times both the top and the bottom by 3 
5 0
3 years ago
A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need
MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

                                                             = 2 x 7.5 tsp

                                                             = amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

                                                                      = 7.5 x 1 tsp

                                                                       = 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

                                                                                          = 7.5 x 4 tsp

                                                                                          = 30 tsp

3 0
3 years ago
What is the value of x?​
zavuch27 [327]

Answer:

38 is the answer to your question hope that helps

3 0
3 years ago
Read 2 more answers
Subtract the sum of (5^3 + 7^2 − 9) and (7 + 3^2 ) from the sum of (5^3 + 6) and (10^2 − 12)
ollegr [7]

Given:

Subtract the sum of (5^3 + 7^2-9) and (7 + 3^2) from the sum of (5^3 + 6) and (10^2-12).

To find:

The simplified value for the given statement.

Solution:

The sum of (5^3 + 7^2-9) and (7 + 3^2)

Sum_1=5^3+7^2-9+7 + 3^2

Sum_1=125+49-9+7 + 9

Sum_1=181

The sum of (5^3 + 6) and (10^2-12).

Sum_2=5^3 + 6+10^2-12

Sum_2=125+6+100-12

Sum_2=219

Now, subtract Sum_1 from Sum_2.

219-181=38

Therefore, the required value after the subtraction is 38.

8 0
3 years ago
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