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
Scrat [10]
3 years ago
15

It takes a boat going upstream 3 hours to cover the same distance, as it would cover in 2 hours going downstream. What is the sp

eed of the boat if the speed of the current is 3 kilometers per hour?
Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:

15 km

Step-by-step explanation:

You might be interested in
One student can paint a wall in 16 minutes. Another student can paint the same wall in 24 minutes. Working together, about how l
Mazyrski [523]
Let's look at work rates per minute.

Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.

The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

1/16 + 1/24 = 1/x

1/16 * 3/3 + 1/24 * 2/2 = 1/x

3/48 + 2/48 = 1/x

5/48 = 1/x

x = 48/5 = 9.6

Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.


5 0
3 years ago
Can some one please help me
Nady [450]
40 = 1 x 2 x 2 x 2 x 5
8 0
3 years ago
Find gradient <br><br>xe^y + 4 ln y = x² at (1, 1)​
cricket20 [7]

xe^y+4\ln y=x^2

Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).

\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}

\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x

\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x

e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x

Solve for d<em>y</em>/d<em>x</em> :

e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x

\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}

If <em>y</em> ≠ 0, we can write

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}

At the point (1, 1), the derivative is

\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}

4 0
3 years ago
At a​ little-known vacation​ spot, taxi fares are a bargain. A 24​-mile taxi ride takes 36 minutes and costs ​$.14.40. You want
dolphi86 [110]

Answer:

I need how much is it per one mile <em>or</em> how much does is cost every 5 mins at least

8 0
2 years ago
Please help I don’t understand this at all
Natalka [10]

Answer: 33.5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Simplify 6√1,000m^3n^12
    11·2 answers
  • A recipe uses 1/3 cup of flour and 1/8 cup of sugar. how much flour and sugar does the recipe use altogether?
    7·2 answers
  • 12<br> What is the product?<br> x²_16/ -x² – 2x² + x/<br> 2x+8 x² + 3x-4
    14·1 answer
  • Translate the sentence into an inequality.
    9·1 answer
  • PLEASE HELP QUICK 25POINTS!!!!!!!
    6·1 answer
  • 360 kilometers is 24% of x kilometers its for the 14 points
    13·2 answers
  • Pls givin out brainliest to first answer
    13·2 answers
  • Is 5.421 greater or less then 5.4
    12·2 answers
  • SOMEONE PLEASEEEEEE HELPPPPP ASAPPPP I NEED THE ANSWER
    15·1 answer
  • The bids in an online auction are represented by the arithmetic sequence shown below: right on explicit formula to represent the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!