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
Korvikt [17]
3 years ago
13

A motorboat can maintain a constant speed of 15 miles per hour relative to the water. The boat makes trip upstream to a certain

point in 51 minutes; the return trip takes 39 minutes. What is the speed of the current?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

The speed of the current is 2 miles per hours

Step-by-step explanation:

Given as :

The speed of motorboat = x = 15 miles per hour

The time taken by motorboat trip upstream = 51 minutes

The time taken by motorboat trip downstream = 39 minutes

Let The speed of the current = y miles per hour

Let The total distance cover = A miles

So ,

Speed = \dfrac{\textrm Distance}{\textrm Time}

So, x - y = \dfrac{A}{51}

I.e  15 - y =  \dfrac{A}{51}

And x + y = \dfrac{A}{39}

I.e  15 + y = \dfrac{A}{39}

\dfrac{x-y}{x+y} = \dfrac{39}{51}

I.e \dfrac{x-y}{x+y} = \dfrac{13}{17}

Or, 17 × (x - y) = 13 × (x + y)

Or, 17 x - 17 y = 13 x + 13 y

Or, 17 x - 13 x = 13 y + 17 y

Or, 4 x = 30 y

Now, ∵ x = 15 miles per hour

So, 4 × 15 = 30 y

Or, y =  \dfrac{60}{30}

∴   y = 2 miles per hour

Hence The speed of the current is 2 miles per hours   Answer

You might be interested in
Content://media/external/file/8717
Alja [10]
Bro what is the question

4 0
3 years ago
Read 2 more answers
Identifying Possible Triangles
Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

4.

6+3=9 not >10 (not a triangle)

5 0
2 years ago
If
KengaRu [80]

Answer:

2112

Step-by-step explanation:

4752÷36= 132

132×16=2112

5 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are
yKpoI14uk [10]
For every 5 cashews, there are 6 peanuts and 7 almonds.

Means:    Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews =    (5/18) * 270 = 75


Peanuts =    (6/18) * 270 = 90


Almonds =    (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts  -  90
5 0
3 years ago
Other questions:
  • Which of the following is a monomial
    7·2 answers
  • Choose as many answers as apply.
    11·1 answer
  • How do you figure out ratios? the problem is 12 quarters to 34 dollars. thanks
    6·1 answer
  • Which graph represents the function ) = -2-1
    11·1 answer
  • 10 = 5 - 5x what is the answer
    10·2 answers
  • Solve for x: 8(3x-6)=6(4x+8)
    12·1 answer
  • A blanket shop had 27 feet of fabric. If they wanted to use the fabric to make 5
    10·2 answers
  • HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP
    14·1 answer
  • Which fraction is equevleint to 5/7
    5·2 answers
  • So i figured out the first but I don't know the rest please help?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!