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
Pie
3 years ago
6

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I ta

ke the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.
Mathematics
2 answers:
agasfer [191]3 years ago
8 0
X would be equal to 3 over 1
Elena L [17]3 years ago
6 0

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

You might be interested in
Can you solve this problem please​
Afina-wow [57]

Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = \frac{-1-1}{1-5} = \frac{-2}{-4} = \frac{1}{2}

Repeat with another 2 points and equate to \frac{1}{2}

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = \frac{4+1}{k-1} , then

\frac{5}{k-1} = \frac{1}{2} ( cross- multiply )

k - 1 = 10 ( add 1 to both sides )

k = 11

6 0
3 years ago
Read 2 more answers
3q - 16q = 7 + 2(-89 – 3)
levacccp [35]

Answer:

q = 177/13

Step-by-step explanation:

3q - 16q = 7 + 2(-89 – 3)

-13q = 7 + 2(-92)

-13q = 7 - 184

-13q = -177

q = (-177)/(-13)

q = 177/13

3 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (6,3) and (2,7)<br> Please help?
BabaBlast [244]

Answer:

(-4,4)

Step-by-step explanation:

3 0
3 years ago
An album sells for $12.00 through an online music service. If the album is 20% off, and sales tax is 5%, what is the total price
elena55 [62]

Answer:

Total price of the album including tax is $10.08

Step-by-step explanation:

Sales price without discount and tax = $12

% discount = 20%

Sales price with discount = 12 - (20/100 × 12) = 12 - 2.4 = $9.6

% sales tax = 5%

Tax = 5/100 × 9.6 = $0.48

Total price of the album including tax = $9.6 + $0.48 = $10.08

4 0
3 years ago
Read 2 more answers
25 over 2 in radical form
denis-greek [22]
12.75 is what I got.
3 0
3 years ago
Other questions:
  • In a class of 30, five were absent. What fraction of the class was absent?
    13·1 answer
  • How can you minimize the risk from investment?
    5·2 answers
  • Graph the linear equation
    15·1 answer
  • EASY GEOMETRY**<br>name a right angle on the figure ​
    12·1 answer
  • curtis threw 15 darts at a dart board and 40% of his darts hit the bulls eye how many darts missed the bulls eye
    5·1 answer
  • Sarah has 2 trees in her backyard. The elm tree’s current height is 38 inches. It grows 4 inches each year. The oak tree is 45.5
    8·1 answer
  • Find the range of the function y=7x-1 when the domian is { -1,0,1}
    6·1 answer
  • HELPPPPP....!! 0^0<br><br>Applying the Pythagorean theorem, solve this triangle.​
    7·2 answers
  • What is the equation of the line from the graph?​
    11·1 answer
  • STATE WHETHER THE WORKING SHOWN IN THE PICTURE BELOW IS TRUE OR FALSE.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!