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
charle [14.2K]
2 years ago
15

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to

the park at a constant speed of 15 kilometers per hour the total duration of the rides was 1 hour and the distances she rode in each direction are equal. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park
Mathematics
2 answers:
jonny [76]2 years ago
7 0

Answer:

b+p=1 and 18b=15p

Step-by-step explanation:

ASHA 777 [7]2 years ago
5 0

Answer:

Elia was riding \dfrac{5}{11} of an hour from the house to the beach, \dfrac{6}{11} of an hour from the beach to the house and rode

8\dfrac{2}{11} kilometers from the house to the beach and

8\dfrac{2}{11} kilometers from the beach to the house.

Step-by-step explanation:

1. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park. The total duration of the rides was 1 hour, so

b + p = 1

2. Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, she was riding for b hour, then she rode 18b kilometers from her house to the beach.

Elia rode from the beach to the park at a constant speed of 15 kilometers per hour, she was riding for p hours, then she rode 15p kilometers from the beach to the house.

The distances she rode in each direction are equal, so

18b = 15p

3. Solve the system of two equations:

\left\{\begin{array}{l}b+p=1\\ \\18b=15p\end{array}\right.

From the first equation

b=1-p

Substitute it into the second equation

18(1-p)=15p\\ \\18-18p=15p\\ \\18=18p+15p\\ \\33p=18\\ \\p=\dfrac{18}{33}=\dfrac{6}{11}\\ \\b=1-\dfrac{6}{11}=\dfrac{5}{11}

Elia was riding \dfrac{5}{11} of an hour from the house to the beach, \dfrac{6}{11} of an hour from the beach to the house and rode

18\cdot \dfrac{5}{11}=\dfrac{90}{11}=8\dfrac{2}{11} kilometers to the beach and

15\cdot \dfrac{6}{11}=\dfrac{90}{11}=8\dfrac{2}{11} kilometers fro mthe beach to the house.

You might be interested in
Please help me<br> A. 0 ≤ x ≤ 40<br> B. 0 ≤ y ≤ 40<br> C. 0 &lt; x &lt; 40<br> D. 0 &lt; y &lt; 40
Paul [167]
I thinks it b because the y is 40 & the x
3 0
1 year ago
What Is bigger 2 miles or 3,526 yards
8090 [49]
1 mile = 1,760 yards

1,760 * 2 = 3,520 yards

3,526 yards is larger.
5 0
2 years ago
Find the median and mean of the data set below:<br> 4,9, 26, 20, 23, 0,37<br> Median<br> Mean
lukranit [14]
The mean is 17 and the median is 20!! i hope this helps you out :-)
8 0
1 year ago
Questions Below. Would Appreciate Help!
kherson [118]

Answer:

The function that could be the function described is;

f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

\left | A \right | = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

8 0
1 year ago
Which expression shows the sum of the polynomials with like terms grouped together 10x2y+2xy2-4x2y-4x2y
Jobisdone [24]
10x^2y-4x^2y + 2xy^2 - 4x^2
------
= 6x^2y + 2xy^2 - 4x^2
3 0
1 year ago
Read 2 more answers
Other questions:
  • Which graph has a slope of 4/5?
    12·1 answer
  • How many seats are there??
    10·1 answer
  • How many times as many fish did Amy catch as bill
    10·2 answers
  • The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.
    6·2 answers
  • What is the answer to 5% 0f 220 files
    12·1 answer
  • Find the arc length of the partial circle. with a radius of 1
    5·2 answers
  • A manufacturing company uses two different machines, A and B, each of which produces a certain item part. The number of defectiv
    15·2 answers
  • Calculate the number in the middle of 1.5 and 7.1​
    14·1 answer
  • Adding and Subtracting Rational Expressions.
    7·1 answer
  • Lou eats 6/8 of a pizza. what fraction of the pizza, in simplest form, is left over
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!