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
Elodia [21]
1 year ago
14

Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilom

eters in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?
Mathematics
1 answer:
nordsb [41]1 year ago
6 0

The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.

<h3>What is speed?</h3>

Speed has the dimensions of distance divided by time.

Let Speed of airplane be x km/h and Speed of Wind be y km/h

Speed direction of wind (x+y)

Speed in opposition of wind (x-y)

Now, using speed x time= distance

7( x-y)=4620

(x-y)=4620/7

=660------------------(1)

Similarly,

8(x+y)=8640

(x+y) =8640/8=1080-----------------------(2)

Adding (1) and (2)

2x=1740

x=870 km/h

Subtracting (1) from (2)

2y=420

=>y=210 km/h

So rate of airplane =870km/h

rate of wind=210km/h

Learn more about this concept here:

brainly.com/question/16970943

#SPJ1

You might be interested in
1. Elena takes two triangles off of the left side and three
Anna11 [10]

Answer:

Step-by-step explanation:

5 0
3 years ago
1/4 + 5/8 + 1/8 + 1/4 + 1/4 + 1/4 + 3/4 + 3/4
zysi [14]
1/4=2/8  and 3/4=6/8... common denominator 
2/8+5/8+1/8+2/8+2/8+2/8+6/8+6/8=26/8=13/4=3 1/4
7 0
2 years ago
Read 2 more answers
Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.
Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by n(t) = 3\cdot t + 35.

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

n(t) = m\cdot t + n_{o} (1)

Where:

m - Slope, measured in number of pieces per minute.

t - Time, measured in minutes.

n_{o} - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

n - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that n(15\,min) = 80\,p and n(45\,min) = 170\,p, then the following system of linear equations is formed:

15\cdot m + n_{o} = 80 (2)

45\cdot m + n_{o} = 170 (3)

The solution of the system of equations is:

m = 3 and n_{o} = 35

The slope of the function is 3.

c) By (1) and using results from a) we conclude that the equation function is:

n(t) = 3\cdot t + 35 (4)

d) The y-intercept of the function is 35.

5 0
2 years ago
What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
Lostsunrise [7]

Answer: 615.4

Step-by-step explanation:

A=\pi r^{2}

if the radius is 14

A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\

8 0
2 years ago
Read 2 more answers
F(x) = 1/x^2 and g(x) = 1/2x+4<br><br> f[g(x)] = 4x 2 _____
Korolek [52]

Answer:

f[g(x)] = 4x²+1/16

Step-by-step explanation:

We need to put g(x) into f(x).

f[g(x)] = 1/(1/2x+4)²

f[g(x)] = 1/(1/4x²+16) Solve the exponential.

f[g(x)] = 1/(1/4x²+16) Simply the fraction.

f[g(x)] = 4x²+1/16

5 0
2 years ago
Other questions:
  • Work out the acceleration for the first 3 seconds?
    9·2 answers
  • What is the value of x in the diagram below?
    12·1 answer
  • Solve the equation and give me how you solved it and the answer
    8·1 answer
  • The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
    14·1 answer
  • Find the slope of the line whose equation is,3y-7x=10
    9·1 answer
  • A book contains 27 pages with print, 8 pages with print and pictures, and 3 blank
    10·1 answer
  • Which of the following numbers are irrational
    13·1 answer
  • What is the square root of 378904
    11·1 answer
  • Simplify -5 1/4 - (-7 1/2) please<br> also ignore my tabs pls
    10·1 answer
  • Susan bought a pair of jeans for $20.95 and a shirt for $11.50. She paid with $40.00. How much was her change?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!