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
Bess [88]
3 years ago
15

From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one

train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
PLz just give me the answer!!!
Mathematics
1 answer:
telo118 [61]3 years ago
3 0

From points A and B, the distance between which is 1020 mi

The speed of one train was 10 mph greater than the speed of the other one

Let the Speed of first train is x

Speed of second train is x+ 10

Time = 5 hours

Distance = speed * time

Distance traveled by first train = x * 5= 5x

Distance traveled by second  train = (x+10) * 5= 5x + 50

the trains had not met yet and were 170 mi apart.

the distance between A  and B is 1020 mi, Distance traveled by two trains = 1020 - 170 = 850 miles

Distance traveled by first train + second train = 850

5x + 5x + 50 = 850

10x + 50 = 850

Subtract both sides by 50

10x = 800

x= 80

Speed of first train is 80 miles per hour

Speed of second train is 90 miles per hour


You might be interested in
Let h(x) = e^(kx) + f(x),
Anestetic [448]
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
3 0
3 years ago
If diameter of a circle is 28 cm,then the circumference of the circle is equal to​
ratelena [41]

Answer:87.92

Step-by-step explanation: you multiply the diameter by pie or 3.14 to get the circumference

4 0
3 years ago
Read 2 more answers
2 1/2 * 1 1/6=???<br>I need help can someone explain this for me?
Dovator [93]

Answer:

35/12

Step-by-step explanation:

2 1/2 is 5/2

1 1/6 is 7/6

Multiply these together to get (5*7)/(2*6) or 35/12.

5 0
2 years ago
Read 2 more answers
1.Famous basketball player Michael Jordan had a free throw percentage of 0.83. (He made 83% of his free throw shots.) Assume tha
MissTica

Michael Jordan's Freethrow, the population of the 6 countries and the distribution of the uninsured drivers are illustrations of probabilities

<h3>1. Michael Jordan Freethrow</h3>

The given parameter is:

p = 83% -- the percentage of free throws he made

<u>Probability that he misses his 6th throw </u>

The probability that he misses his 6th throw is:

P = P(He made the first 5 throws) * P(He lost the 6th)

This gives

P = (83%)^5 * (1 - 83%)^1

P = 0.0670

<u>Expected number of miss</u>

The expected number till he misses the first free throw is:

E(x) = np

This gives

E(x) = 6 * 83%

E(x) = 4.98

Approximate

E(x) = 5

Hence, the probability that he misses his 6th throw is 0.0670 and the expected number till he misses the first free throw is 5

<h3>2. Country Populations</h3>

The given parameters are:

Average population = 268.35 million

Standard deviation = 370.43 million

<u>The z-scores for the United States, Egypt, and Mexico</u>

This is calculated as:

z = (x - \mu)/\sigma

So, we have:

US = (332 million - 268.35 million)/ 370.43 million

US = 0.17

Egypt = (104 million - 268.35 million)/ 370.43 million

Egypt = -0.44

Mexico = (128 million - 268.35 million)/ 370.43 million

Mexico = -0.38

<u>The countries from the smallest to the largest </u>

By comparing the z-score of the countries, the order of the countries are:

Egypt, Japan, Mexico, Brazil, United States and India

The countries are ranked that way because the higher the z-score, the higher the population

<h3>3. Uninsured drivers</h3>

The given parameter is:

p = 12.6% -- the percentage of uninsured drivers

<u>Probability that exactly 5 drivers of 30 are uninsured</u>

This is calculated as:

P(x) = nCx * p^x * (1 - p)^(n-x)

So, we have:

P(5) = 30C5 * (12.6%)^5 * (1 - 12.6%)^(30-5)

Evaluate the product

P(5) = 0.1561

<u>Probability that the next uninsured driver is the 7th</u>

This is calculated as:

P = P(First 6 are insured) * P(7th is unisured)

This gives

P = (1 - 12.6%)^6 * (12.6%)^1

P = 0.0562

The probability that exactly 5 drivers of 30 are uninsured is 0.1561, and the probability that the next uninsured driver is the 7th is 0.0562

Read more about probability at:

brainly.com/question/25870256

3 0
2 years ago
Find the value of k such that lim--&gt;4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
2 years ago
Other questions:
  • The population of a town was 230000. For 12 years, the population grew 4% per year, compounded continuously. When was the popula
    13·1 answer
  • The quotient of a number and two imcreased by five is 10 equation
    9·1 answer
  • Can anyone help me w/ math hw
    6·1 answer
  • Which inequality correctly compares Five-sixths, One-half, Three-ninths, and 1?
    13·1 answer
  • A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul
    11·1 answer
  • HELP PLEASE I DONT UNDERSTAND
    6·1 answer
  • What is the estimate of 206,834 and 194,268
    13·1 answer
  • A circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
    14·1 answer
  • (b) The perimeter of a rectangular pool is 366 m.
    8·1 answer
  • Solve for x and round please
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!