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
igor_vitrenko [27]
1 year ago
5

A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing

the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find: d for t=3.5
Mathematics
1 answer:
yawa3891 [41]1 year ago
6 0

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

You might be interested in
A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil
erma4kov [3.2K]

Answer:

\frac{n_p}{n_s}=\frac{1}{1000}

Step-by-step explanation:

Given voltage of primary coil is V_p=12V

And voltage of secondary coil is V_s=12,000V

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil (n_p) and secondary coil (n_s).

Following equation represents the relation between them.

\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

\frac{n_p}{n_s}=\frac{1}{1000}

5 0
3 years ago
Which of the following numbers are perfect squares?
professor190 [17]

Answer:

B and D

Step-by-step explanation:

I think i am right

3 0
2 years ago
Read 2 more answers
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ? triangles WXZ and XYZ that share side XZ with right an
SVEN [57.7K]

Answer:

81

Step-by-step explanation:

6 over 12 equals 3 over 6 6 over 3 equals 6 over 12 6 over 6 equals 3 over 12 12 over 6 equals 3 over 6

4 0
2 years ago
Read 2 more answers
A pirate shoots a cannonball into the air from a height of 10
Aneli [31]

We are basically given most of what we need to calculate the height of the cannonball.

We use the formula h = –16t+ vt + s to find the height requested.

Let v = 160

Let s = 10

Let t = time in seconds

Was the value of t included? We need to know t to plug into our formula.

You know everything else except for t. Go back to your notes to search for t. Afterward, plug the value of t and everything else given above into the formula and calculate to find h.

6 0
3 years ago
Jocelyn's foot is 17 centimeters long. If she puts the heel of one foot next to the toes of her other foot, how long will both o
liraira [26]

Answer:

34 centimeters

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is 0.0076 km to cm
    11·1 answer
  • I am thinking of a number. when it is increasd by 7, it equals 21. what is my number
    9·2 answers
  • The symphonic band is having their annual winter performance the equation 2 a + 5s= 41 represents money collected on the first n
    9·1 answer
  • Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet,
    15·1 answer
  • How to solve this problem: 1 1/2(n-4 1/2)=12
    5·1 answer
  • What is the equation of the line that has a slope of 4 and passes through the point (3, -10?
    7·1 answer
  • Consider this solution to a problem.
    9·2 answers
  • You are given 6 color cards: 1 red, 2 blue, 3 green. As you draw a card, YOU WILL KEEP IT. What is the probability of drawing a
    11·1 answer
  • .........................
    9·2 answers
  • Pls help me answer this question i need it asap. This is a good offer :)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!