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
Sergeeva-Olga [200]
3 years ago
14

Two trains leave towns 912 kilometers apart at the same time and travel toward each other. One train travels 12

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

Remark

The two trains are travelling towards each other. That means that their total distance = 912 km. Neither one has gone that distance by itself. The effect this has on the question is that you add the two rates multiplied by time.

Givens

r1 = x

r2 = x + 12

t = 3 hours

d = 912 km

Equation

d = r * t

r1 * t + r2 * t = 912

Solution

3x    + 3*(x + 12) = 912          Remove the brackets

3x +  3x + 36 = 912              Combine like terms

6x + 36 =   912                     Subtract 36 from both sides

 <u>     -36      -36</u>

6x       =      876                   Divide both sides by 6  

6x/6   =       876/6

x =               146 km/h

Answer

Slow train = 146 km/hr

Fast train = 146 + 12 = 158 km/hr

You might be interested in
34.23 times one year is ....
kenny6666 [7]

Answer:

410.76

Step-by-step explanation:

34.23 * 12= 410.76

1 year = 12 months

5 0
3 years ago
Read 2 more answers
Please help. thx a bunch
Aleks [24]
0.55 HOPE THIS HELPS!
3 0
3 years ago
Read 2 more answers
I need help on 14,15,16 please help! this is urgent! i’ll give brainlist<br> show work too please!
Rzqust [24]

Answer:

I help u after. my online classing

3 0
2 years ago
There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q
Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

\frac{nickel}{dime} = \frac{2}{3}

nickel = \frac{2}{3} dime

\frac{dime}{quarter} = \frac{2}{5}

quarter = \frac{5}{2}dime

So,

nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x  = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank    

3 0
3 years ago
Triangle ABC has vertices of A(-6, 7), B (4, -1), and C (-2, -9). What is the length of the median from angle B?
jeka94
Coordinates of the midpoint of AC:
M ( (-6-2) / 2) , ( 7-9 ) /2 ) = ( -4, -1 )
d ( BM ) = √ ( 4 + 4 )² + ( -1+ 1 )²
d ( BM ) =   √  8 ²  =√ 64 = 8
The length of the median from angle B is 8.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A jet carried 12,000 people in 40 trips. If the jet was full each trip, how many people did it carry each trip?
    12·2 answers
  • Find the least positive integer that can be added to the product of any 4 consecutive integers such that the result is always th
    14·1 answer
  • An employee worked 160.5 hours in may, 165.75 hours in June and 152.25 hours in July.
    15·1 answer
  • Simplify -3 square root of 84x^3
    6·1 answer
  • A helicopter is flying from Hong Kong to Jakarta
    9·1 answer
  • Plz help quick &gt;_&lt; What is the best estimate for 81.9 x 4.6?
    10·1 answer
  • If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the sys
    6·2 answers
  • Hello sam hhehehe .dk ;
    10·1 answer
  • OMG PLEASE HELP HELP ME I NEED SO MUCH. HELP ME ON BOTH OF THEM PLEASE !!!
    8·1 answer
  • I NEED biggggggg brain helpers XD
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!