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
BigorU [14]
3 years ago
12

A private airplane leaves an airport and flies due east at 192 km/hr. Two hours later, a jet leaves the same airport and flies d

ue east at 960 km/hr. How long after the jet leaves will it overtake the plane?
Mathematics
1 answer:
elixir [45]3 years ago
5 0
The answer is 0.5 hours.

A velocity (v) of an object is a distance (d) divided by time (t):
v = d ÷ t                         ⇒                  t = d ÷ v

It is given:
v1 = 192 km/h
v2 = 960 km/h
t1 - t2 = 2h
We need to calculate t2.

Since they will travel the same distance before the jet overtakes the plane, we can say that d1 = d2 = d

Now, let's express t1 and t2:
t1 = d/192
t2 = d/960

Therefore: d/192 - d/960 = 2
The least common denominator is 960, so:
5d/960 - d/960 = 2
4d/960 = 2
4d = 2 · 960
4d = 1920
d = 1920 ÷ 4 = 480 km

Now t2 = d/960 = 480/960 = 0.5 hours.
You might be interested in
A 1st degree polynomial function whose graph intercepts the y-axis at 8.
asambeis [7]

Your answer can be anything in the form y = mx+8 where you replace m with any real number.

You start with y = mx+b, and then replace the b with the y intercept 8.

The y intercept is where the polynomial crosses the y axis.

The value of m does not matter. So you could have y = 2x+8 or y = 3x+8 for instance. Replace m with whatever your favorite number is.

4 0
2 years ago
find the elasped time from 10:11 to 5:34 pls show your work . A) 5hrs and 37mins , B) 4hrs , C) 5h 23mins , D) 4hr 37mins
Bingel [31]
The question as you wrote it doesn't fit the answers. However, one of the answers fits if you meant
"elapsed time from 5:34 to 10:11".

There are many ways to do this. Try first taking the time from 5:34 to 6:11, and after that finding the time from 6:11 to to 10:11.

In a way, 6:00 is the same thing as 5:60. Add 11 to that and you can see that 6:11 is the same as 5:71. Now that you have an easy way to find the time from 5:34 to 6:11.
6:11 - 5:34 isn't easy.
But 5:71 - 5:34 is quite easy. 71 - 34 is 37.

So, from 5:34 to 6:11 there are 37 minutes.

Now the easy part, finding the time from 6:11 to 10:11. Since the minutes are the same, just subtract the hours. 10 - 6 = 4 hours.

Now you have the hours and minutes, which number 4 hours and 37 minutes.
8 0
3 years ago
Gloria earned $26 for babysitting for 4 hours. Write and Solve an equation to determine how much Gloria would earn after babysit
posledela

Answer:

Equation: ($26÷4 hours) × 25 hours

Answer: $156.25

Step-by-step explanation:

First, you would have to find out how much she earns per hour, so $26÷4. Then you multiply that by 25.

(26÷4) x 25=$156.25.

(hope this helps :P)

3 0
2 years ago
Margo borrows $900, agreeing to pay it back with 7% annual interest after 9 months. How much interest will she pay? Round your a
Veronika [31]

Answer:

I=\$47.25

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the amount of money borrowed

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=9/12\ years\\ P=\$900\\r=0.07

substitute in the formula above

I=900(0.07(9/12))

I=\$47.25

3 0
3 years ago
A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
2 years ago
Other questions:
  • Please help me with this 6 problem please please and I need work to please
    14·1 answer
  • What is the answer for #2
    12·2 answers
  • What is the answer????
    5·1 answer
  • The system of equations is graphed on the coordinate plane.
    13·1 answer
  • Ms. Tan earns $350 per week plus an 8% commission on her shoe sales. She sold $560 last week. What was her total poay for the we
    10·1 answer
  • Is this a function yes / no
    15·1 answer
  • What is the value of n
    8·1 answer
  • Luigi is an urban planner. As an independent contractor, he charges $140 fee plus $25 per hour for each contract with the city.
    8·1 answer
  • Need help thanks in advanced
    11·1 answer
  • Investment: Suppose that you and 3 friends bought equal shares of an investment for a total of $20,000 and then sold it later fo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!