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
kiruha [24]
3 years ago
10

If u work it out then i will give lots of brinilets (pls show workings out) :P

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

You might be interested in
En una pasteleria realizan 15 posteles cada 30 min
artcher [175]

Answer:

60

Step-by-step explanation:

había multiplicado 4 y 15 espero que esto ayude

4 0
3 years ago
Equation for the points (3,8) (2,6) on slope
Irina18 [472]
\frac{8-6}{3-2} = \frac{2}{1}=4

The slope is 2

y=2x + b

Plug in a point to solve for b
8 = 2(3) + b

8 = 6 + b
b = 2

The equation is y = 2x + 2
7 0
3 years ago
Read 2 more answers
A six-sided die is rolled. What is the probability of landing on a number less than 3? Put our answer in simplest form.
V125BC [204]

Answer:

1/3

Step-by-step explanation:

2/6

1/3

8 0
3 years ago
Read 2 more answers
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0
3 years ago
Solve the given initial-value problem. y'' + 9y = 0, y(0) = 6, y'(0) = −3
Taya2010 [7]
I believe it's y'(0)=-3

I was only able to simplify the equation.

Hope this helps
5 0
3 years ago
Other questions:
  • draw 8 lines that are between 1 inch and 3 inches long. measure them to nearest fourth inch and make line plot
    13·1 answer
  • Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.
    7·1 answer
  • PLEASE!!!!!!!!!!!!!HURRY!!!!!!!!!!!!!!!!!!!!!!!20 points!!!!!!!!!!!!!!!!!!!!!!1
    11·1 answer
  • Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup?
    6·2 answers
  • 1) Which expression represents the volume<br> of a shipping box?
    13·1 answer
  • How much simple interest rate would earn if had $10,000 and you were being paid 5% for 15 months?
    7·1 answer
  • music magic offers live streaming for $9.99 a month with downloads at $0.50 a song. You have $30 a month budgeted for this servi
    11·1 answer
  • If Susan is 4 feet 8 inches tall and Sharon is 5 feet 4 inches tall, what is the ratio of Sharon’s height to Susan’s height?
    10·1 answer
  • Find the length of diagonal HJ. Round to the nearest hundredth.
    6·1 answer
  • Write the following expression without negative exponents and without parentheses.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!