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
omeli [17]
3 years ago
13

A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 78

0-meter head start. When the start gun is fired the hare begins running at a constant speed of 10 meters per second and the tortoise begins crawling at a constant speed of 5.3 meters per second.
Mathematics
2 answers:
Sindrei [870]3 years ago
6 0
I am presuming that the question is who won or by how much did the winner win. 

distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
   1600 = 10 t 
Divide both sides by 10 
t = 160
The hare finished in 160 seconds

For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)

The tortoise won by 5. 28 seconds (160-154.72)
 
Nutka1998 [239]3 years ago
3 0
<span>The tortoise wins. The tortoise takes 154.7 seconds to finish the race. The hare takes 160 seconds to finish the race. There really isn't a question here, but I'm going to assume the unasked question is one of "Who wins?" "How long does it take the tortoise to complete the race?" or "How long does it take the hare to complete the race?" And thankfully, in determining the answer to "Who wins?" will have as a side effect the answers to the other two questions. First, how many seconds does it take for the hare to complete the race. Just divide the distance by the speed and you'll have the answer. So 1600 m / 10 m/s = 160 s Now, how many seconds does it take the tortoise to finish the race? Same thing. Distance divided by speed. But there's a twist, you need to figure out the distance. And that is just the track length minus the head start. So (1600 m - 780 m) / 5.3 m/s = 820 m / 5.3 m/s = 154.717 s And since the tortoise took less time than the hare, the tortoise wins.</span>
You might be interested in
Which values are solutions to the inequality below? Check all that apply
azamat
A, e, and f! hope it helps
5 0
2 years ago
Read 2 more answers
PLS HELP ME ASAP FOR 10 and 11! (MUST SHOW WORK FOR BOTH!!) + GIVING THANKS AND BRAINLIEST!!
rjkz [21]
10 the equation should be 3x + 6 = 63
subtract 6 from both sides to get 3x = 57
57 ÷ 3 = 19 inches


11
-1.5 * 4 = -6 degrees
an increase in 4 degrees us the answer
3 0
3 years ago
Read 2 more answers
Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to
Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4).  You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

3^2+y^2=25

9+y^2=25

Subtract 9 on both sides:

y^2=25-9

y^2=16

Take the square root of both sides:

y=\pm \sqrt{16}

y=\pm 4.

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

(\pm 5)^2+y^2=25

25+y^2=25

Subtract 25 on both sides:

y^2=25-25

Simplify:

y^2=0

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0
3 years ago
Greatest common factor M^3n and 5m^5n^2
xenn [34]

Answer:

m³n

Step-by-step explanation:

8 0
3 years ago
URGENT! WILL MARK BRANLIEST
skelet666 [1.2K]

Answer:

B. Ractangle

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • How do I do number nine?
    11·2 answers
  • 3x^2+x+1=0<br><br> Please show your work to see how you even solve this thanks !
    11·1 answer
  • A cubic inch of PVC material weight 0.063 pounds per cubic inch. What’s the weight of a 36 inch piece of PVC pipe with an outsid
    12·1 answer
  • Is this correct? <br>Pls Help!!
    8·2 answers
  • One column of numbers consists of 28, 42, and 14. When the digits of the numbers are added together, the result is 2 + 8 + 4 + 2
    14·2 answers
  • How many of you guys think Into The Night by Bath &amp; Body Works is really masculine?​
    13·1 answer
  • What is the circumference of a circle that has a radius of 10 in? Use 3.14 for π
    5·1 answer
  • What is the square root if 144000000?<br>step by step pls​
    6·1 answer
  • In the previous problem, you calculated the amount of butter you will need to increase the size of the brownie recipe. Examine t
    5·2 answers
  • What is the equation of the line that passes through the point (7,-3) and has an undefined slope?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!