Ask question

Ask question

All categories

Naddika [18.5K]

3 years ago

8

Flying against the wind, an airplane travels 5760 kilometers in 6 hours. Flying with the wind, the same plane travels 6300 kilom

eters in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

1 answer:

Aleks [24]3 years ago

5 0

<h2>Speed of plane = 1110 kmph</h2><h2>Speed of wind = 150 kmph</h2>

Step-by-step explanation:

Let the speed of plane be p and speed of wind be w.

Flying against the wind, an airplane travels 5760 kilometers in 6 hours.

Here

Speed = (p-w) kmph

Time = 6 hours

Distance = 5760 kmph

Distance = Speed x Time

5760 = (p-w) x 6

p-w = 960 -----eqn 1

Flying with the wind, the same plane travels 6300 kilometers in 5 hours.

Here

Speed = (p+w) kmph

Time = 5 hours

Distance = 6300 kmph

Distance = Speed x Time

6300 = (p+w) x 5

p+w = 1260 -----eqn 2

eqn 1 + eqn 2

p-w + p +w = 960 + 1260

2p = 2220

p = 1110 kmph

Substituting in eqn 2

1110 + w = 1260

w = 150 kmph

Speed of plane = 1110 kmph

Speed of wind = 150 kmph

You might be interested in

HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The tab

Vesna [10]

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

3 21

6 42

9 63

12 84

We can find the rate of change for the previous year by using the slope formula

m = (y2-y1)/(x2-x1)

m = (84-63)/(12-9)

=21 / 3

= 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

4 0

2 years ago

Read 2 more answers

What is the solution to this equation?

Diano4ka-milaya [45]

Answer:

C. x=13

Step-by-step explanation:

add the 13 to the -4 and you will get your 9

5 0

2 years ago

Read 2 more answers

Please help! i dont understand

kvv77 [185]

QUESTION 1

The given inequality is

$y\leq x-3$ and $y\geq -x-2$ .

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

$-2\leq 3-3$ and $-2\geq -3-2$ .

$-2\leq 0$ :True and $-2\geq -5$ :True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is

$y\:>\:-3x+3$ and $y\:>\: x+2$ .

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

$4\:>\:-3(1)+3$ and $4\:>\: 1+2$ .

$4\:>\:0$ :True and $4\:>\: 3$ :True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is

$y\leq 3x-6$ and $y\:>\: -4x+2$ .

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

$-2\leq 3(0)-6$ and $-2\:>\: -4(0)+2$ .

$-2\leq -6$ :False and $-2\:>\:2$ :False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is

$2x-y\:$ and $x+y\:>\:-1$ .

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

$2(0)-3\:$ and $0+3\:>\:-1$ .

$-3\:$ :True and $3\:>\:-1$ : True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is

$y\:>\:2x-3$ and $y\:$ .

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

$0\:>\:2(-3)-3$ and $0\:$ .

$0\:>\:-9$ ;True and $0\:$ :True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0

2 years ago

What is 8.05 × 10-5 in standard notation? 0.0000805 0.00000805 805,000 8,050,000

Tanya [424]

Answer:

0.0000805

Step-by-step explanation:

$8.05*10^{-5}=\frac{8.05}{10^{5}}\\\\=\frac{8.05}{100,000}\\$

= 0.0000805

4 0

2 years ago

Read 2 more answers

Can someone please help!

Fudgin [204]

Answer:

min f(x) = 3.95 (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

3 0

2 years ago