1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shkiper50 [21]
3 years ago
7

An airplane travels 720 in 3 hours with the wind. The return trip against the wind takes 4 hours. What is the wind speed and the

speed of the airplane in still air?
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

Wind speed = 30 per hour, Airplane speed = 210 per hour.

Step-by-step explanation:

Given:

An airplane travels 720 in 3 hours with the wind.

The return trip against the wind takes 4 hours.

Question asked:

What is the wind speed and the speed of the airplane in still air ?

Solution:

First of all we will find speed of airplane with the wind:-

Speed=\frac{Distance}{Time}

         =\frac{720}{3} \\ \\ =240

Now, let speed of plane = p

And let speed of wind = w

Speed of of airplane with the wind will be:-

p+w=240\ (equation\ 1)

Similarly, we will find speed of airplane against the wind:-

Speed=\frac{Distance}{Time}

         =\frac{720}{4} \\ \\ =180

Speed of airplane against the wind will be:-

p-w=180\ (equation\ 2)

Adding equation 1 and 2:-

p+w+p-w=240+180\\ \\ 2p=420\\ \\ Dividing\ both\ sides \ by \ 2\\ \\ \frac{2p}{2} =\frac{420}{2} \\ \\ p=210

Speed of plane = p = 210 per hour.

Speed of wind = w = ?

<u>Taking from equation 1:-</u>

p+w=240\\ \\ 210+w=240\\ \\ w=240-210\\ \\ w=30\ per \ hour

Speed of wind = 30 per hour.

Therefore, the wind speed is 30 per hour and speed of the airplane in still air is 210 per hour.

You might be interested in
Type the integer that makes the following subtraction sentence true:<br> -57 - ? = -151
posledela

Answer:

94

Step-by-step explanation:

Its pretty simple,

The easiest way to find the missing number is to do 151-57, which = 94

8 0
3 years ago
Solve each system of linear equations albebraically
ANEK [815]

Step-by-step explanation:

1.\\\left\{\begin{array}{ccc}y=3x&(1)\\2y=6x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2(3x)=6x\\6x=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\6x-6x=6x-6x\\0=0\qquad\text{TRUE}\\\\Answer:\ \text{Infinitely many solutions}\\\\\left\{\begin{array}{ccc}y=3x\\x\in\mathbb{R}\end{array}\right

2.\\\left\{\begin{array}{ccc}y=2x+5&(1)\\y-2x=1&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(2x+5)-2x=1\\2x+5-2x=1\qquad\text{combine like terms}\\(2x-2x)+5=1\\5=-1\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}

3.\\\left\{\begin{array}{ccc}3x-2y=9\\-6x+4y=1&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x-2y=9\\-3x+2y=0.5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=9.5\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}

5 0
3 years ago
Identify the given trig ratio of an angle through the point (3, -2)
algol13

Answer:

uh u didnt finish your question

Step-by-step explanation:

8 0
3 years ago
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.
Vinil7 [7]

Answer:

s=p−(p⋅d) .      0.75p

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Please help, will give brainlist.<br><br> 1. Solve the equation. Show all of your work.
    5·2 answers
  • Complete the table of values for y=x^2-4x
    8·2 answers
  • 3√166375<br><br><br>I want it's answer with step by step.​
    12·1 answer
  • A gas station has a cylindrical fueling tank that holds the gasoline for its pumps, as modeled below. The tank holds a maximum o
    12·1 answer
  • Evaluate the expression 3.5 m
    13·2 answers
  • Can u guys solve this for me pls ;)
    7·1 answer
  • 49 is 50% of what number?
    6·2 answers
  • 3) Solve for angle x. Round to the nearest whole number. Write answer in format x = ____ degrees
    15·1 answer
  • ANSWER QUICK WILL MARK BRAINLIEST
    6·1 answer
  • Help me pls helpppppppppppppppppppppppppp
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!