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
Tpy6a [65]
3 years ago
15

A distance of 150 km was covered by a motorcyclist traveling at an average speed of 75 km/h, by a bus at 60 km/h, a truck at 50

km/h, and a bicyclist at 20 km/h. How much time did each require to travel the entire distance? Explain why the speed and the time needed to travel 150 km are inversely proportional quantities. for The motorcyclist required hours, the bus required hours, the truck required hours, the bicyclist required hours.
Mathematics
1 answer:
Zarrin [17]3 years ago
5 0
<h3>Answer:</h3>

A)

  • motorcylcist: 2 hours
  • bus: 2.5 hours
  • truck: 3 hours
  • bicyclist: 7.5 hours

B) It is a matter of definition: speed = distance/time. <em>Speed</em> is proportional to distance and <em>inversely proportional to time</em>.

<h3>Step-by-step explanation:</h3>

Speed is defined as the ratio of distance to the time required to cover that distance:

... speed = distance/time

Solving this relation for time, we have ...

... <em>time = distance/speed</em>

a) For each of the modes of transportation, we can find the time by using this relation.

... motorcyle: (150 km)/(75 km/h) = 2 h

... bus: (150 km)/(60 km/h) = 2.5 h

... truck: (150 km)/(50 km/h) = 3 h

... bicycle: (150 km)/(20 km/h) = 7.5 h

b) For a given distance, speed and time are inversely related as a matter of definition.

You might be interested in
I need help ( no links ) ( picture attached)
olasank [31]

Answer:

120-(30+48)= 42

Step-by-step explanation:

7 0
2 years ago
The perimeter of a room is 43 ft. The width is 9 1 2ft. What is the length?
andreev551 [17]

<em>answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} =  \frac{19}{2 }    = 9.5 \: ft\\  now \\ perimeter \: of \: \: rectangle = 2(l + b) \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \:  43= 2(l + 9.5) \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \: 43 = 2l + 19 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \:  - 2l = 19 - 43 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \:  - 2l =  - 24 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: or \: l =  \frac{ - 24}{ - 2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

7 0
3 years ago
Read 2 more answers
What is the y-intercept of 2g(x)+3x=6?
umka21 [38]

The y-intercept is basically the value of the output of the function, g(x), when x=0.

Let's replace g(x) with the variable y to make this look a bit simpler.

2y + 3x = 6

Now, we enter the value of x=0 to get the y-intercept.

2y + 0 = 6

2y = 6

Divide both sides by 2

y = 3

The value of y is 3. Now enter the values of x=0 and y=3 into point-form (x,y) to get (0,3). You should know which answer choice to choose now.

Have an awesome day!

8 0
3 years ago
What is the slope of this line ?<br> Answers : 2, 1/2, 4, and -4
xxMikexx [17]

Answer:

2

Step-by-step explanation:

slope =\frac{rise}{run}

\frac{rise}{run}=\frac{2}{1} =2

<em>good luck, i hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
If it doesn't give me the perimeter, how do i find x from this? thank you!​
Mariulka [41]

The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.

6 0
2 years ago
Other questions:
  • The senior class at Ron’s school collected $4250 from students during picture sales at prom. Some students bought $15 packages a
    11·2 answers
  • The type of transformation PQRS undergoes is a . If vertex Q is at (-4, -5), then vertex Q′ is at ?
    12·1 answer
  • If the radius of this of a sphere is tripled what is it multiplied by
    12·1 answer
  • Five times a number minus 12 is 48​
    10·2 answers
  • Write and solve an equation to find the measures of the angles of each triangle.
    12·1 answer
  • Subtract and write in standard form<br>(8x – 6x3 + 5x2) - (2x2 + 2x - 7x3)​
    12·1 answer
  • Please answer this if i get ur wrong my math teacher will give me a detention
    12·2 answers
  • The real statue of liberty is 152 feet tall. If you wanted to build a toy model of the statue to sell to tourists that is 2:101
    5·1 answer
  • when 3 is divided by the sum of x and 8 ,the result is the same as dividing 2 by the sum of x and 3,find the number​
    12·1 answer
  • Casey was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!