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
Lyrx [107]
3 years ago
13

Allison and Megan were at track practice. The track is 3/8 kilometers around.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Allison ran 3/8 km (0.375 km) in 3 minutes.

Set up a proportion to find how long it takes for her to run 1 km

\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}

Cross multiply to get:

3 = 0.375x

Solve:

x = \frac{3}{0.375}

x = 8 minutes

You might be interested in
john ran at a pace of 3.5 miles per hour for a distance of 10.5 miles. how many minutes did it take him to run 10.5 miles? use t
Rainbow [258]

The minutes it takes him to run 10.5 miles is 180 minutes

<h3>How many minutes did it take him to run 10.5 miles?</h3>

The given parameters are

Speed = 3.5 miles per hour

Distance = 10.5 miles

The time is calculated as:

Time = Distance/Speed

So, we have

Time = 10.5 miles/3.5 miles per hour

Evaluate the quotient

Time = 3 hours

Convert to minutes

Time  = 180 minutes

Hence, the minutes it takes him to run 10.5 miles is 180 minutes

Read more about speed at:

brainly.com/question/6504879

#SPJ1

5 0
1 year ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?
Margaret [11]
The second equation, its setup is correct
8 0
3 years ago
A compound proposition that is always ___________ is called a contradiction. A. True B. False
alexandr1967 [171]

Answer:

<em>A compound proposition that is always false is called a contradiction</em>

Step-by-step explanation:

3 0
3 years ago
A consumer charges a $50 purchase on a credit card. The card has a daily interest rate of 0.038%. If the consumer pays off the b
Mariana [72]

Answer:

SIMPLE ONE-TIME INTEREST

I

=

P

0

r

A

=

P

0

+

I

=

P

0

+

P

0

r

=

P

0

(

1

+

r

)

I is the interest

A is the end amount: principal plus interest

P0 is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The sum of three consecutive integers is 267. What is the largest integer?
    13·1 answer
  • 11.717, 11.771, 11.117, 11.171 greatest to least
    15·1 answer
  • Which expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4)
    6·1 answer
  • The scale of a map is 2m=4mi map:12m actual is
    14·1 answer
  • What is the growth factor associated with the following growth rate: 30% decrease
    13·1 answer
  • What is the equation of the line<br> with the points (1, 4) and (5, 12)?<br> 12
    15·1 answer
  • What is the reciprocal of 5 1/4?
    12·1 answer
  • Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
    6·1 answer
  • A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?
    7·1 answer
  • A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of ph
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!