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
Talja [164]
3 years ago
10

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

The system of equations that represents this situation is

\left \{ {{p+q=2} \atop {5p+4q=8}} \right.

Step-by-step explanation:

A system of linear equations is a set of equations that have more than one unknown or variable. In these equations the unknowns are related to each other.

To propose a system of equations, you must first identify the unknowns or variables of the problem. For this you must know what you want to find out about the problem. And then a variable or letter must be assigned: One of the unknowns of the problem is called "q" and the other is called "p" (for this case)

In this case then:

  • "q" is the amount of hours it took Courtney to walk from her home to the beach.
  • "p" is the amount of hours it took him to walk from the beach to the park.

You know that the entire walk took 2 hours. This means that the amount of hours it took Courtney to walk from her home to the beach plus the amount of hours it took him to walk from the beach to the park must be 2. Expressed in an equation you get: <u><em>p + q=2 Equation (A)</em></u>

Now, the  total distance Courtney walked was 8 kilometers.  But you have as data the value of the speed at which Courtney walks from her house to the beach, and the speed at which she walks from the beach to the park.

But you should keep in mind that speed is equal to the distance traveled divided by time, or what is the same, distances are equal to speed by time.

speed=\frac{distance}{time}

or

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

So, as the data you have are the aforementioned speeds, and the amounts of hours it took Courtney to walk from her house to the beach, and from here to the park, and from the beach to her house, it is possible to determine the distances of as follows, remembering the way in which the variables were defined:

From her house to the beach:

distance 1= 4 kilometers per hour* q

From the beach to the park:

distance 2= 5 kilometers per hour* p

As mentioned the total distance that Courtney traveled was 8 kilometers, this is the distance from her house to the beach plus the beach to the park was kilometers. Expressed in an equation you get:<u> </u><u><em>5p + 4q=8 Equation (B)</em></u>

Finally, <u><em>the system of equations that represents this situation is</em></u>

<em>\left \{ {{p+q=2} \atop {5p+4q=8}} \right.</em>

Ivanshal [37]3 years ago
8 0

Answer:

The system of equations that represent this situation is

q+p=2

4q+5p=8

Step-by-step explanation:

Let

q ----->  the number of hours it took Courtney to walk from her house to the beach,

p ----> the number of hours  it took her to walk from the beach to the park

we know that

q+p=2 ----> equation A (because the entire walk took 2 hours)

The speed multiplied by the time is equal to distance

so

4q+5p=8 ---> equation B (total distance Courtney walked was 8 kilometers)

You might be interested in
you have $20 to spend at the snack bar all the snacks at the snack bar cost $1.25 how much money will you have left if you buy 1
Dominik [7]
You will have $5 left because if you spend 1.25 on 12 snacks you will spend $15
6 0
3 years ago
Read 2 more answers
Solve for z.<br> Z&lt;-9<br> Z&gt;-9
Alex73 [517]

Answer:

z>-9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help: what is 2+4+4+10? I will five brainliest
telo118 [61]

Answer:

It is 20

Step-by-step explanation:

Use your fingers if necessary

5 0
3 years ago
the graph of a linear function is given below. What is the zero of the function? a) -5. b) 2/5. c) 2. d) 5/2
Murrr4er [49]

The zero of a function is the x-value at which the function value is zero. That is, the value of the function that intersects the x-axis. From the picture, the zero is -5

4 0
1 year ago
A rectangle is 3 feet longer than it is wide. Write the equation for the perimeter of the rectangle.
maria [59]
Let x be the width of the rectangle
Therefore length=3+x
Thus the formula to find the perimeter of the rectangle is:2(3+x+x)

Hope this is helpful mark me as brainlist

Thank You!
4 0
3 years ago
Other questions:
  • Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. If g = 5, what are t
    5·1 answer
  • 4/1 sqrt3-sqrt2 rationalize?
    11·1 answer
  • Solve X^2 + 5x + 6 = 0
    10·2 answers
  • The place value of the 9 in 89,170,326
    6·2 answers
  • katrina makes 8 free throws for every 10 attempts at this rate how many free throws will she make in 25 attempts
    8·1 answer
  • Create three functions one linear function one quadratic function, and one cubic function that all have a solution at (-5,32)
    10·1 answer
  • Emily has 2 cups. Amilia has 26 cups. Amilia has how many times as many cups as Emily?​
    13·2 answers
  • The expression x2 - 10x + 24 is equivalent to (1) (x + 12)(x - 2) (3) (x + 6)(x + 4) (2) (x - 12)(x + 2) (4) (x - 6)(x - 4)
    5·1 answer
  • I will 10 points pls anwser correct
    12·1 answer
  • Find acceleration of a cheetah running at 0.5 and sect 21 and second three seconds describe the acceleration of the animal.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!