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miskamm [114]
3 years ago
12

A small planes flies 600 miles against the wind.in 3 hours. The return trip with the wind takes 2

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

Speed of the plane: 250 mph

Speed of the wind: 50 mph

Step-by-step explanation:

Let x be the speed of the plane.

Let y be the speed of the wind

#Given that It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. We set our equations as:

\frac{600mi}{3hr}=x-y\\\\\frac{600mi}{2hr}=x+y\\\\\\200mph=x-y\ \ \  \ \ \ ...i\\\\300mph=x+y\ \ \ \  \ \ \ ...ii\\\\\therefore\ x=200\ mph+y\\\\\#Substitute \ in \ ii\\\\300\ mph=200\ mph+y+y\\\\y=50\ mph\\\\\\x=200\ mph+50\ mph

Hence, the speed of wind is 50 mph and the speed of the plane is 250 mph.

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A student is selecting 5 different geography books, 4 different chemistry books, and one of 7 different science books. In how ma
malfutka [58]

There would be 5184 ways in which each subject books can be selected.

<u>Explanation:</u>

Number of geography books = 5

Number of chemistry books = 4

Number of Science books = 7

Different ways of selecting geography books = 5!

                                                                            = 5 X 4 X 3 X 2 X 1

                                                                            = 120

Different ways of selecting chemistry books = 4!

                                                                          = 4 X 3 X 2 X 1

                                                                          = 24

Different ways of selecting Science books = 7!

                                                                       = 7 X 6 X 5 X 4 X 3 X 2 X 1

                                                                       = 5040

Total different possible ways they can select them = 120 + 24 + 5040

                                                                                     = 5184

5 0
3 years ago
Use the distributive property to rewrite 6(4-x)
Arlecino [84]

Answer:

24-6x

Step-by-step explanation:

To distribute, you multiply the number outside the parenthesis by each number inside, keeping in mind the signs.

So, 6(4-x) = 6(4) - 6(x) = 24-6x

8 0
4 years ago
Read 2 more answers
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Get the x variable on one side and the numbers another side.

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Distribute the 9/10 across the x and 2/3.

(9/10)x + 18/30 = 4 1/2

Simplify 18/30 to make our life easier.

(9/10)x + 3/5 = 4 1/2

Subtract 3/5 from each side of the equation.

(9/10)x = 3 9/10

Divide both sides by 9/10.

x = 4 1/3
4 0
3 years ago
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6 0
4 years ago
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7 0
3 years ago
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