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
NikAS [45]
3 years ago
5

Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha

n his running speed. What is his running speed?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

You might be interested in
The Y is the diameter <br><br>Find Y <br><br>Area of the circle ​
yarga [219]

Answer:

<h2>Y = 22.56 cm </h2>

Step-by-step explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

{r}^{2}  =  \frac{400}{\pi}

Find the square root of both sides

r =  \sqrt{  \frac{400}{\pi}  }

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

<h3>Y = 22.56 cm</h3>

Hope this helps you

8 0
3 years ago
The full question is shown below
a_sh-v [17]

Answer:

n = 3

Step-by-step explanation:

Ratio from Triangle A to Triangle B is 2:1.

n+2 = 5

n = 3

8 0
2 years ago
Find the slope of the line that passes through points (4, 2) and (-17, -20).
Over [174]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Plz solve!!!!! I will give 25 points and brainliest!! and plz, no tiny links<br> 1 3/7*2/5
Airida [17]

Answer:

10/7*2/5= 20/35=4/7

5 0
2 years ago
Read 2 more answers
the mgf of a random variable x is e^3(e^t-1). Find P[mean - standard deviation squared &lt; X &lt; 1/2( mean + standard deviatio
postnew [5]
The given MGF is that for a random variable following a Poisson distribution with parameter \lambda=3.

This means \mathbb E(X)=\mathbb V(X)=\lambda, and X has PMF

f_X(x)=\begin{cases}\dfrac{3^xe^{-3}}{x!}&\text{for }x\ge0\\0&\text{otherwise}\end{cases}

So, the desired probability is

\mathbb P\left(\lambda-\lambda^2

This is equivalent to

\displaystyle\sum_{x=0}^2\mathbb P(X=x)=\sum_{x=0}^2\frac{3^x}{x!e^3}=\frac{17}{2e^3}\approx0.4232
8 0
3 years ago
Other questions:
  • 7 x 2 + 2[7 + 3(5 - 2)] + 2<br> ____________________<br> -4 x 2
    8·1 answer
  • The sum of two numbers is 59 . The smaller number is 17 less than the larger number.
    13·1 answer
  • What is the value of the expression shown below?
    14·1 answer
  • Quanto misura l'area di un triangolo rettangolo isoscele con ipotenusa 8 cm?<br> (urgente!)
    10·1 answer
  • Which is greater 2 miles or 3526
    6·2 answers
  • How would you work this out?​
    6·1 answer
  • The lesson is 19.2 Angles in inscribed Quadrilaterals
    14·1 answer
  • State the y intercept of the equation -9 + y = 6
    10·1 answer
  • Please help me, i will give brainiest !!
    6·2 answers
  • I need help with this practice problem It is from my ACT prep guide It asks to graph the function, if you can, use Desmos to com
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!