M is the midpoint of EF, EM = 3x – 2, and MF = x + 8. What is MF? MF =

An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airp

balu736 [363]

Answer:

r = 225 Mil/h speed of the airplane in still air

Step-by-step explanation:

Then:

d is traveled distance and r the speed of the airplane in still air

so the first equation is for a 4 hours trip

as d = v*t

d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)

Second equation the trip back in 5 hours

d = 5 * ( r - 25 ) (2)

So we got a system of two equation and two unknown variables d and

r

We solve it by subtitution

from equation (1) d = 4r + 100

plugging in equation 2

4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h

And distance is :

d = 4*r + 100 ⇒ d = 4 * ( 225) + 100

d = 900 + 100

d = 1000 miles

6 0

2 years ago

I need help or I’m going to fail math

gavmur [86]

Answer:

1. A

2. B

3. D

Step-by-step explanation:

Use PEMDAS to solve all

1.

8^2 - 6*2

8*8 - 6*2

64 - 12 = 52

2.

4^2 * 3 + 4 * 2

4 * 4 * 3 + 4 * 2

16 * 3 + 8

48 + 8 = 56

3.

9^2 - 2(5+3)

9 * 9 - 2(8)

81 - 16 =65

4 0

1 year ago

If Bob paid $41.44 for 14 gallons what is the price of gas per gallon

Dmitry [639]

$2.96 you divide 41.44 by 14

8 0

2 years ago

The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is

LenKa [72]

Answer:

27%

Step-by-step explanation:

The ratio means that for every 11 games won, 4 are lost, so the team has won 11x games, lost 4x games, and played 15x games for some positive integer x. The percentage of games lost is

4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%

6 0

2 years ago

What is the value of x? Please show step by step.

3241004551 [841]

Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse = $8 \sqrt{2}$
The adjacent angle is 30 degrees

Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x $8 \sqrt{2}$

Opposite= $4 \sqrt{2}$

Therefore line LJ is $4 \sqrt{2}$

Now look at the smaller right angled triangle (LMJ)

Hypotenuse is the line LJ which is $4 \sqrt{2}$

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore
x= $4 \sqrt{2}$ * sin45= 4

3 0

2 years ago