All categories

3 years ago

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 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