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
Jlenok [28]
3 years ago
14

Two trains going in opposite directions leave at the same time. Train B travels 30 mph faster than train A. In 3 hours the train

s are 330 miles apart. Find the speed of each.
Mathematics
1 answer:
insens350 [35]3 years ago
6 0
Using the magic of algebra!:

The time each train goes in 1 hour will be represented as a / b.
b is 30 more than a, so if we add 30 to a it should equal b.
a + 30 = b
In three hours, the trains are 330 miles apart.
Esentially, we're adding up the distance each train goes from the starting point to find the distance between them.
3b + 3a = 330
Now we have a system of equations to solve.
a + 30 = b
3b + 3a = 330
We want to get the variables on seperate sides of the equation for easy solving.
a + 30 = b
3b = 330 - 3a
Then get the value of the one variable the same so we can use the transitive property.
a + 30 = b
b = 110 - a

a + 30 = 110 - a
2a + 30 = 110
2a = 80
a = 40 
mph

(And thus b = 70 mph)
You might be interested in
Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases by 1.5%. Write an equation for the populatio
steposvetlana [31]

Given:

In 2010, the population of a town = 2000

Every year, it increase by 1.5%

To find the equation P(t) which represents the population of this town t years from 2010.

Formula

If a be the original population of a town and it increases by b% every year, after t year the population will be

a (1+\frac{b}{100} )^{t}

Now,

Taking, a  =2000, b = 1.5 we get,

P(t) = 2000(1+\frac{1.5}{100} )^{t}

or, P(t) = 2000(1+0.015)^{t}

Hence,

The population of this town t years from 2010 P(t) = 2000(1+0.015)^{t}, Option D.

7 0
3 years ago
How do you wirte 15 and 40 in simplest form
dem82 [27]

Step-by-step explanation:

15 : 40

Both have table of 5 in common

5 : 8

4 0
3 years ago
Read 2 more answers
The data set represents a progression of hourly temperature measurements.Use the regression equation to predict the temperature
zimovet [89]
I will attach google sheet that I used to find regression equation.
We can see that linear fit does work, but the polynomial fit is much better.
We can see that R squared for polynomial fit is higher than R squared for the linear fit. This tells us that polynomials fit approximates our dataset better.
This is the polynomial fit equation:
T(h)=20.2-3.6h-0.875h^2
I used h to denote hours. Our prediction of temperature for the sixth hour would be:
T(6)=20.2-3.6(6)-0.875(6)^2=-32.9
Here is a link to the spreadsheet  (<span>https://docs.google.com/spreadsheets/d/17awPz5U8Kr-ZnAAtastV-bnvoKG5zZyL3rRFC9JqVjM/edit?usp=sharing)</span>

4 0
3 years ago
Read 2 more answers
Please help with graph problem
Luda [366]
Y=5.5 and x+3 are the answers hope this helps
3 0
3 years ago
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
Darya [45]

Answer:

$64.13

Step-by-step explanation:

the tip would be added to the meal cost

6 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number.
    5·1 answer
  • Max observes the zoo and the library from a helicopter flying at a height of 100 times square root of 3 feet above the ground, w
    5·1 answer
  • Tell which number is greater 27/50,27%
    11·1 answer
  • Right answer gets brainlist
    9·2 answers
  • Given 1 ||<br> m<br> II<br> n, find the value of x.<br> Z<br> 140<br> m<br> 56<br> n
    8·1 answer
  • Which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
    9·1 answer
  • Put the following numbers in order from least to greatest.<br><br><br><br> 1/4 1/8 1/2
    15·2 answers
  • HELP ME ANSWER THIS PLEASE
    9·2 answers
  • 1
    9·1 answer
  • Distance between (-4, 6) and (3, 7)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!