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Korvikt [17]
4 years ago
5

A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2

5 mph, find the speed of the plane in still air
Mathematics
1 answer:
Anna007 [38]4 years ago
5 0

Answer:

475 mph

Step-by-step explanation:

Distance = rate × time

time = distance / rate

If x is the speed of the plane in still air:

2100 / (x + 25) = 1890 / (x − 25)

Cross multiply:

2100 (x − 25) = 1890 (x + 25)

Distribute and solve:

2100x − 52500 = 1890x + 47250

210x = 99750

x = 475

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Dafna1 [17]

8.722 / (-3.56)

Expand \frac{8.722}{-3.56} by multiplying both numerator and denominator by 1000.

\frac{8722}{-3560}

Reduce the fraction \frac{8722}{-3560} to the lowest terms by extracting and cancelling out 178.

-\frac  {49}{20} = -2.45

3 0
3 years ago
Seth spends every Saturday mowing lawns in his neighborhood. Last month, he made $416. If he deposited 3/4 of the money into is
Phoenix [80]
He had $104 left to spend.
1. $416/4=$104
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6 0
4 years ago
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6 0
3 years ago
This net can be folded to make a square pyramid. what is the surface area of the pyramid
givi [52]

Answer:  

85in^2

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

  • area of the square  
  • area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

a_{square}=l^2

where l is the length of the side: l=5in

thus the area of the square is:

a_{square}=(5in)^2

a_{square}=25in^2

Area of the triangles:

the are of 1 triangle is given by

a_{triangle} =\frac{b*h}{2}

where b is the base of the triangle: b=5in (the base of the triangle is the side of the square)

and h is the height of the triangle: h=6in

thus, the area of 1 triangle is:

a_{triangle} =\frac{(5in)*(6in)}{2}

a_{triangle} =\frac{30in^2}{2}

a_{triangle} =15in^2

the area of the 4 triangles is (we multiply by 4):

a_{4-triangles}=4(15in^2)

a_{4-triangles}=60in^2

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

Surface=25in^2+60in^2

Surface=85in^2

8 0
2 years ago
Malcolm and Ravi raced each other.
Alona [7]

Answer: v1 = 200 km/h

v2 = 320 km/h

Malcolm's maximum speed was 200 km/h.

Ravi's maximum speed was 320 km/h.

Step-by-step explanation:

8 0
3 years ago
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