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
Inessa05 [86]
4 years ago
8

Jeanie completed a 27 mile duathlon (a race that is a combination of running and biking) in exactly 2 hours. she ran an average

speed of 8.5 miles per hour and biked an average speed of 16 miles per hour. for how long did jeanie bike during the race?
Mathematics
1 answer:
-Dominant- [34]4 years ago
8 0
<span>Let x = the miles Jeanie ran y = the miles Jeanie biked T = 2 hours total time for the duathlon v1 = 8.5 mph Jeanie's running speed and v2 = 16 mph Jeanie's biking speed But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2 So we have average speed v2 when she biked = distance (y) / time (t2) Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1 Since she covered 27 miles while running and biking we have x + y = 27 8.5t1 + 16t2 =27 ------(1) t1 + t2 = 2 --------------(2) The simultaneous equation gives us t1 = 2/3 and t2 which is time she biked = 4/3 So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>
You might be interested in
Can someone solve this! Need it done soon
Airida [17]

Answer:

117.5 ft²

Step-by-step explanation:

To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.

First, we will find the area of the given square, by using the formula lw, multiplying the length and width. The dimensions of this square are 14×14.

14 · 14 = 196

The area of the square is 196 ft².

We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula A=\pi r^2. With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.

A = \pi5²

We will use 3.14 for \pi.

A = 78.5

The area of both the semicircles is 78.5 ft².

Now, we can subtract.

196 - 78.5 = 117.5

The area of the figure is 117.5 ft².

Good luck ^^

7 0
3 years ago
A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
2 years ago
Solve for z -9(d+z)=-2z+59
neonofarm [45]
-9(d+z)=-2z+59\\\\\text{Use multiply distributive property:}\\a\cdot(b+c)=ab+ac\\\\-9d-9z=-2z+59\ \ \ |+9d\\\\-9z=-2z+59+9d\ \ \ |+2z\\\\-7z=59+9d\ \ \ \ |:(-7)\\\\\boxed{z=-\dfrac{59+9d}{7}}

7 0
4 years ago
Read 2 more answers
Find x on this special right triangle, 45 is not an option!!!!
zloy xaker [14]

let the line between 2 tria be y

sin 60/8√2 = sin 90/y

y=13.06

sin 45/13.06 = sin 90/x

x=18.46

7 0
3 years ago
Read 2 more answers
(- 8) + 5 + 4 + (- 2) = resuelve
choli [55]

Answer: -1

BRAINLIEST PLZZZZZZZZZ

◑␣◐◑␣◐◑␣◐◑␣◐◑␣◐◑␣◐◑␣◐◑␣◐◑␣◐

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A community service group organizes a car wash that raises 7c - 18 dollars and a spaghetti dinner that raises 6s - 45 dollars. W
    11·1 answer
  • Which number is greater 5 or 1
    5·1 answer
  • Find the equation of a line parallel to 3x-6y=5 and passing through (-2,-3). write the equation in slope intercept form
    9·2 answers
  • LATS SET THIS TIME graphs GEOEMTRY. SPEEDDEMON ANSWER PLEASE
    12·1 answer
  • What does "of" mean in a persent question
    9·1 answer
  • a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].​
    5·1 answer
  • A ball with a rebound percentage of 45% was dropped from a height of 215feet. What is the height of the ball after the 5th bounc
    13·1 answer
  • Please help with this, i’m gonna fail this class lol
    12·2 answers
  • What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4
    13·1 answer
  • Can someone help me please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!