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
Lilit [14]
3 years ago
11

Two airplanes leave dallas at the same time and fly in opposite directions. One airplane travels 80 miles per hour faster then t

he other. After 3 hours,they are 2490 miles apart. What is the speed of each airplane?
Mathematics
1 answer:
RSB [31]3 years ago
4 0

recall d = rt, distance = rate * time.


let's say airplane A is going at a rate of "r", therefore airplane B is moving faster, at a rate of "r + 80".

now, after 3 hours, both planes have been travelling for 3 hours each, and say if A has covered "d" miles, then B has covered the slack of 2490 - d.


\bf \leftarrow \underset{A}{\stackrel{r}{\rule[0.22em]{8em}{0.25pt}}}dallas\underset{B}{\stackrel{r+80}{\rule[0.22em]{18em}{0.25pt}}}\to \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ plane~A&d&r&3\\ plane~B&2490-d&r+80&3 \end{array}


\bf \begin{cases} \boxed{d}=3r\\ 2490-d=(r+80)(3) \end{cases} \\\\\\ 2490-\boxed{3r}=3r+240\implies 2250=6r\implies \cfrac{2250}{6}=r\implies \stackrel{A}{375}=r \\\\\\ \stackrel{B}{375+80\implies 455}

You might be interested in
What is the solution to this?
Ahat [919]

Answer:

\frac{5}{4}x^{4} + sinx + c

Step-by-step explanation:

using the power rule

∫(ax^{n}) = \frac{a}{n+1}x^{n+1} and ∫cosx = sinx

∫(5x³ + 2cosx )dx

= \frac{5}{4}x^{4} + 2sinx + c ( c is the constant of integration )


7 0
3 years ago
Find the length of BC
Ivan

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

6 0
2 years ago
Determine whether the statement is true or false, and explain why.
ipn [44]

Answer:

False

Step-by-step explanation:

The statement is False, because the average value of a funciton f(x) on an interval is given by the value of the integral of the function on that interval divided by its length. In this case, the integral is right, but we are not integrating exactly f, and thats why the average value is not given correctly.

5 0
3 years ago
What is the difference between 1 and o.1978​
Vlad1618 [11]

Answer:

0,8022

Step-by-step explanation:

guess it helped

6 0
3 years ago
Can you help me with this
kifflom [539]

Answer:

the anwer is d

I did the math

8 0
2 years ago
Read 2 more answers
Other questions:
  • The US cencus bureau claimed that the US population increased by 27.3 million people from 2000 to 2010, which is a 9.7% increase
    13·1 answer
  • 25386 to the nearest 1000
    6·2 answers
  • HELPPPPP PLEASEEEEE
    6·1 answer
  • Describe the end behavior of f(x)=10x^4
    14·1 answer
  • if 620 more plants are brought to the nursery and are arranged with the original 1,207 plants in the 7 rows, how many plants wil
    11·2 answers
  • Really need help<br> Solve the system of equation <br> Y=8x+11<br> Y=5x+29<br><br> X=<br><br> Y=
    11·1 answer
  • Jessica wants to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her c
    6·1 answer
  • 4. Find 12 rational numbers between -1 and 2<br>​
    12·1 answer
  • Someone pls help me with this
    5·1 answer
  • YEAR 9 MATHS- PLEASE HELP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!