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
shtirl [24]
3 years ago
11

Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour

while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Mathematics
2 answers:
zvonat [6]3 years ago
4 0
You need to take 360 and divide that by the speed of the trains combined which equals 2.4 hours. 


so....  70 + 80= 150   now divide 360 by 150  and you get 2.4 hours as your answer XD hope this helped!
cricket20 [7]3 years ago
3 0
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


You might be interested in
Plz do question 8 asap
RideAnS [48]
It's D, hope I helped ;)
8 0
3 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height = \frac{10}{4}

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

For, A to be greatest ,

\frac{dA}{dh} =0 = 10h-4h^{3}

⇒ h[10-4h^{2} ]=0

⇒ h^{2} =\frac{10}{4} {Since, h≠ 0}

⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

⇒ k=5-\frac{10}{4} =\frac{10}{4}

Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

8 0
3 years ago
Solve for n. (10 5/8 + 3 5/8) + 2 3/8 = n + 12
Brums [2.3K]
I think n is 9 hope i helped 
8 0
3 years ago
Read 2 more answers
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
mojhsa [17]
It would take him 30 mins
4 0
3 years ago
16^5/4•16^1/4/(16^1/2)^2
Kazeer [188]

Answer:

The simplified expression is 16^-1/6

Step-by-step explanation:.

16^5/4•16^1 /4/ (16^1/2)^2

The dot means multiplication. The expression is rewritten as

16^5/4 × 16^1/4 / (16^1/2)^2

Recall the following rules of indices

1) y^a × y^b = y^(a+b)

2) (y^a)^b = y^ab

y^b/ y^a = y^(b-a)

Applying these rules of indices

16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)

(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16

Therefore

16^5/4 × 16^1/4 / (16^1/2)^2

= 16^(5/16) /16

=16^(5/6) × 16^-1

= 16^ (5/6)-1

= 16^-1/6)

,The simplified expression is 16^-1/6

8 0
3 years ago
Other questions:
  • 2.a)Find the prime factorizations of 90 and 168.
    11·1 answer
  • Let me help you out have some points <br> and wash your hands
    12·2 answers
  • Round 5,793 to the hundreds place using place value, benchmarks and midway points
    9·1 answer
  • At the beginning of January, Molly had $6000 in her savings account. In February she had 25% more than she did in January, and i
    14·1 answer
  • A customer at a Mexican restaurant placed a order for burrito bowls that cost $5 each and a plate of corn tocos that cost $13. H
    15·1 answer
  • What name is given to the price dealerships pay for vehicles
    8·2 answers
  • Which correlation coefficient could represent the relationship in the scatterplot?
    9·1 answer
  • Solve for angle...............
    12·1 answer
  • The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of thi
    9·1 answer
  • Find an order pair (x, y) that is a solution to the equation <br> x-3y=3<br> (x,y) =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!