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
Kryger [21]
3 years ago
10

The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which

the boat travels in still water is 5 times the rate of the river current, what is the rate of the current?
Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer:

2 mph

Step-by-step explanation:

time = distance / speed

Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...

... 12/(4c) = 3/c.

Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...

... 12/(6c) = 2/c.

The <em>total time</em> is the sum of upstream and downstream times:

... 3/c +2/c = 2.5

... 5/c = 2.5 . . . . . . combine terms

... 5/2.5 = c = 2 . . . multiply by c/2.5

You might be interested in
Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.
horrorfan [7]
We are given the function <span>–2x – 4 + 5x = 8  and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.</span>
6 0
4 years ago
Read 2 more answers
The ratio of black bags to blue bags is 5 to 3. If there are a total of 10 black bags, then how many blue bags are there?
pychu [463]

Answer:

There should be 6 blue bags.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 891,489,094 + (2x3) + 0.1
natima [27]

Answer:

Mark Brainliest i worked hard on this

Step-by-step explanation:

891,489,094 + (2x3) + 0.1= 891489100.1

8 0
3 years ago
Read 2 more answers
A 9m long ladder rests at 9m below a vertical wall. If the angle of elevation of the top of the wall from the foot of the ladder
Arte-miy333 [17]

Height of the wall is 27 m.

<u>Explanation:</u>

Let the height of the wall = h

Length of the ladder = 9 m

Angle of elevation = 60°

Ladder rests at 9 m below a vertical wall.

So, length of the wall upto which the ladder rests = h - 9

We know,

Cos Ф = base/ hypotenuse

cos 60° = length of the ladder / height of wall upto which the ladder rests

               \frac{1}{2}  = \frac{9}{h - 9}

So,

h - 9 = 18

h = 27

Therefore, height of the wall is 27 m

3 0
4 years ago
The sides of the pentagon are consecutive even integers. Find the length of the shortest side if the second longest side is 24%
Yanka [14]
How are you was e9d9d0do6dotdotd
6 0
3 years ago
Read 2 more answers
Other questions:
  • Im unsure if these answers are right! Can someone one help me!
    8·1 answer
  • What is the sum of  6/13 and 1/8. why is the sum greater then 1/2
    12·1 answer
  • Graph a function that is undefined
    8·1 answer
  • The data show the ages of 13 people attending a dinner party. 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63 a. Find the min
    15·1 answer
  • Which lists all the integer solutions of the equation |x| = 7? –7 and 7 7 only 0 and 7 –7 only
    13·1 answer
  • 15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
    10·1 answer
  • Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
    6·1 answer
  • Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical pack
    5·1 answer
  • Need help with these 2 questions please
    11·2 answers
  • Simplify the algebraic expression.<br> 6n+5(10n-7)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!