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
jenyasd209 [6]
2 years ago
13

A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 550-meter head st

art. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second.a. Write an expression in terms of t that represents the hare's distance from the starting line (in meters)b. Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters).c. Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.
Mathematics
1 answer:
andrew-mc [135]2 years ago
6 0

Answer:

a) distance covered by hare d1 = 8t

b) distance covered by tortoise d2 = 5t + 550

c) ∆d = 550 - 3t

Step-by-step explanation:

Given;

Speed of hare u = 8m/s

Speed of tortoise v = 5 m/s

Initial distance of tortoise d0 = 550 m

a) using the equation of motion;

distance covered = speed × time + initial distance

d = vt + d0

For hare;

d0 = 0

Substituting the values;

d1 = 8t + 0

d1 = 8t

b)using the equation of motion;

distance covered = speed × time + initial distance

d2 = vt + d0

For tortoise;

d0 = 550m

Substituting the values;

d2 = 5t + 550

d2 = 5t + 550 m

c) the number of meters the tortoise is ahead of the hare.

∆d = distance covered by tortoise - distance covered by hare

∆d = d2 - d1

Substituting the values;

∆d = (5t + 550) - 8t

∆d = 550 - 3t

You might be interested in
What expression is equivalent to <br> 14<br> −<br> 17<br> ?
DENIUS [597]

answer:

32

Step-by-step explanation:

4 0
3 years ago
Which example illustrates an improper use of deductive reasoning? A. All girls in Mrs. Lopez’s class have brown hair. Cassandra
hoa [83]
The answer is letter B
6 0
3 years ago
Eric has been donating books he no longer needs to his local library. After 3 months of donating, he had 157 books left in his r
alexgriva [62]
He would donate approximately 11 books a month <span />
8 0
3 years ago
The absolute value of 4 + 7i is equal to the square root of
Vedmedyk [2.9K]
4 + 7 = 11. 11x11 = 121. the answer is the square root of 121. Hope it helps :)
5 0
2 years ago
Which graph represents the linear function below? y-4= (4/3)(x-2)
svp [43]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y-4=(4/3)(x-2)

This is the equation of a line into point slope form

The point is (2.4)

The slope is m=4/3

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

For x=0

y-4=(4/3)(0-2)

y=(-8/3)+4

y=4/3

The x-intercept is the value of x when the value of y is equal to zero

0-4=(4/3)(x-2)

-4=(4/3)x-(8/3)

Multiply by 3 both sides

-12=4x-8

4x=8-12

x=-1

we have the points

(2,4), (0,4/3),(-1,0)

Plot the line

Note With only two points it was necessary to draw the line. The third point was calculated for didactic purposes.

see the attached figure

8 0
3 years ago
Other questions:
  • If you have a budget of $180 to spend on shirts and pants, what is the greatest number of shirts and pants you can buy if the ra
    8·1 answer
  • PLEASE MATH HELP
    8·1 answer
  • What is equivalent to square root of 8
    10·1 answer
  • Help plz I will giv brainliest if it's right
    6·1 answer
  • A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript
    13·1 answer
  • Find the circumference and the area of a circle with radius 7 yd . Use the value 3.14 for π , and do not round your answers. Be
    7·1 answer
  • (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
    5·1 answer
  • Jim buys a calculator that is marked 30% off. If he paid $35, what was the original price?
    7·2 answers
  • Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?
    11·1 answer
  • Which one of the following things is NOT an example of velocity?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!