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
Llana [10]
3 years ago
8

Kevin runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?

Mathematics
1 answer:
netineya [11]3 years ago
3 0

Kevin runs:

8 miles -- 84 minutes;

6 miles -- x minutes.

Write a proportion:

\dfrac{8}{6}=\dfrac{84}{x}.

Then 8\cdox =6\cdot 84,\\ \\x=\dfrac{6\cdot 84}{8}=3\cdot 21=63\ minutes.

Answer: it takes him 63 minutes to run 6 miles

You might be interested in
Integrala x la a treia ori ln la a doua dx va rog
Studentka2010 [4]

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

\displaystyle \int x^3 \ln(x)^2 \, dx

Integrate by parts:

\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du

where

u = ln(x)²   ⇒   du = 2 ln(x)/x dx

dv = x³ dx   ⇒   v = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx

Integrate by parts again:

\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'

where

u' = ln(x)   ⇒   du' = dx/x

dv' = x³ dx   ⇒   v' = 1/4 x⁴

\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx

So, we have

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C

\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C

\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}

3 0
2 years ago
Look at picture below
geniusboy [140]

Answer:

I believe the answer you are looking for is C-√57

Mark brainliest :)

8 0
2 years ago
Read 2 more answers
Did the scale factor of 0.75 enlarge reduce or stay the same?
elixir [45]

Answer:

\huge\boxed{\sf Reduces}

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
6 0
3 years ago
Read 2 more answers
10 points! please help!
kumpel [21]

Answer:

i think its the third one

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
How to convert 655.575 to word form?
Leni [432]
Six hundred fifty five thousand five hundred seventy five

6 0
3 years ago
Other questions:
  • 1252&lt;1233<br> 625384937296363&gt;162719736918747594
    11·1 answer
  • HELP me on this please
    6·1 answer
  • If 2a/b=1/2,what is the value of b/a?
    11·2 answers
  • Use the Quadratic Formula to solve the equation. -2x^2 - 5x + 5 = 0
    8·2 answers
  • Xy - 2xy + 3y - 6x y + 4xy
    8·1 answer
  • The seats in each section are in 32 rows.There is an equal number of seats in each row.How many seats are in each row?
    14·1 answer
  • A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, i
    5·1 answer
  • The points (-9,f) and (-10,5) has a slope of 3. What is the value of f?
    12·1 answer
  • Find the area of a circle with a circumference of<br> units.
    13·1 answer
  • Write the fraction as a decimal. Round your answer to the nearest hundredth 86/96
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!