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
Create and answer your
shutvik [7]

Step-by-step explanation:

\frac{20}{48}  \times  \frac{80}{44}

Divide the fraction with 4

\frac{20÷4}{48÷4} \times \frac{80÷4}{44÷4} = \frac{5}{12}  \times  \frac{20}{11}

Reduce the number with factor 4

\frac{5}{12÷4} \times \frac{20÷4}{11} = \frac{5}{3}   \times  \frac{5}{11}

Multiply the fractions

\frac{5 \times 5}{3 \times 11}  =  \frac{25}{33}

\boxed{\green{=  \frac{25}{33}  = 0.75}}

7 0
2 years ago
Read 2 more answers
648 ÷ 8 tell how you solved pls i need help
stira [4]

Answer:

The answer is 81

Step-by-step explanation:

All you have to do is create your long division chart with 648 inside and 8 on the outside 8 can not go into 6 but it can go into 64 so 8 goes on top of 4 you subtract 64 minus 64 becayse 8 times 8 is 64. Lastly you bring down the other 8 and 8 goes into 8 once so you put 1 on top. And so thats how you get 81.

8 0
3 years ago
Read 2 more answers
It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find
guapka [62]

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

8 0
3 years ago
A park has a length to width ratio of 7:4 and the perimeter of the park is 880 meters. What are the length and width of the park
Schach [20]

Step-by-step explanation:

Ratio of length to width = 7 : 4

length = 7x

width = 4x

7x + 4x = 11x

length = 880

880 + 4x = 11x

880 = 11x - 4x

880 = 7x

\frac{880}{7}  = x

125.71 = x

width = 4x

= 4(125.71)

= 502.85

3 0
3 years ago
The net of the figure shown is made of which set of
vodka [1.7K]

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Johnson middle school had 240 students last year. This year. There are 192 students. Find the percent of change. State whether t
    12·1 answer
  • How do you set this question up?
    13·1 answer
  • The woodson and baker families went to the burger shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals for $
    13·1 answer
  • Which equation has infinitely many solutions?
    7·2 answers
  • The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 34 gal of water and is filled at a co
    14·2 answers
  • Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
    6·1 answer
  • the lenght of a rectangle is 2.4 meters long and the diagonal is 4 what is the width of the rectangle
    7·1 answer
  • Ivan started the week on page 35 of his book and read 20 pages each night. What page will Ivan be on if he reads for 8 nights?
    8·1 answer
  • Necesito tornillos de 5 cm para reparar un mueble. En la tlapalería los miden en pulgadas. ¿Cuál de las siguientes medidas es la
    15·1 answer
  • HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!