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
MatroZZZ [7]
3 years ago
14

Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 kmh slower than the other. If t

he two buses are 1356 kilometers apart after 6 hours, what is the rate of each bus?
Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

106 km / hour

Step-by-step explanation:

Givens

Total time: 6 hours

Total distance: 1356 km

First bus rate: r

Second bus rate: r - 14

Formula

d = r * t

Solution

r*6 + (r - 14)*6 = 1356             Remove the brackets

6*r + 6*r - 84 = 1356              Add like terms

12r - 84 = 1356                       Add 84 to both sides

12r + 84 - 84 = 1356-84         Combine

12r = 1272                              Divide by 12

r = 1272/12                              

r = 106 km/hr

You might be interested in
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Serjik [45]

Answer:

C

Step-by-step explanation:

the side with 12 and on the smaller triangle and the side with 16 on the larger triangle are corresponding.

6 0
3 years ago
Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?
denis-greek [22]
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
6 0
3 years ago
Consider a single span of the spinner. Which events are mutually exclusive? Select two options. Landing on a shaded portion and
Sidana [21]

Answer:

Landing on a 3 and on a shaded area

Step-by-step explanation:

Mutually exclusive means there is now way the two events can happen at the same time. This is the only option where it can either be one or the other

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! 10 POINTS!!!! AND BEST ANSWER GETS BRAINLIEST!!!!
ololo11 [35]
30 divided by 3. Their are 3 sets of ten by 30 positives
8 0
3 years ago
Read 2 more answers
True or false perpendicular lines have the same slope
stealth61 [152]
The Answer is False. It is false because on line has a slope of 0 and the other has an undefined slope.

                 Hope this helps, Good luck!
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of the fourth term in a geometric sequence for which a=15 and r= 1/3
    7·1 answer
  • Its all one big question
    7·2 answers
  • The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
    10·1 answer
  • Just answer number 7 you could do 8
    12·2 answers
  • In triangle RXT A 51 B42 C39 or D5
    7·1 answer
  • John made a small rectangular table for his workroom. If the sides of the table are 36 inches and 18 inches, what should the tab
    13·1 answer
  • Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle
    12·2 answers
  • Need help with algebra question ‼️
    11·1 answer
  • What is the true solution to In 20+ In 5= 2 In x?<br> x=5. A<br> X= 10 b<br> X=50 c<br> X= 100 d
    12·1 answer
  • I NEED HELP ON 9 and 10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!