MORE EXA<br>-7x + 11 = 19

If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the

denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

$\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)$

Now at head wind → $720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)$

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0

3 years ago

Work backward to find the value of the variable in the equation below d-4=23

AnnyKZ [126]

Answer:

27

Step-by-step explanation:

The equation is a onestep equation, so in order to find the variable, follow these steps:

d - 4 = 23

In order to isolate the variable or get the variable by itself, you need to get rid of the constants around it or the numbers without a variable. In order to do that for this equation, you'll need to do the inverse of subtracting 4, which would be adding four to both sides.

Adding 4 to positive 23 will give you the answer of 27;

d = 27

Therefore, the variable d equals 27

Hope this helps!

8 0

3 years ago

The perimeter of a rectangle is twice the

Shkiper50 [21]

Answer:

L=16 W=7

Step-by-step explanation:

P=2(L+W)

L=2W+2

46=2(2W+2)+2W

(((7×2)+2)=16×2=32

(16-2)/2=7×2=14

32+14=46 or 16+16+7+7=46

3 0

3 years ago

Without using a calculator, determine the number of real zeros of the function

natta225 [31]

There should be a total of 3 zeros because the largest exponent is 3.

8 0

2 years ago

Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 66 points. Th

german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive $2$ points when they win and $1$ point when they tie. One season, a team won a championship with $66$ points. They won $12$ more games than they tied.