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
Crazy boy [7]
3 years ago
7

A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance a

t the same speed with the current of the river. What is the speed of the boat and what is the current of the river?
Boat speed: Speed of Current:
Mathematics
2 answers:
Svetllana [295]3 years ago
5 0

Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

ATQ

4(x-1) = 3(x+1)

4x-4 = 3x+3

4x - 3x = 3+4

x = 7

Speed of boat = 7miles/h

Current of river = 1 miles/h

please click thanks and mark brainliest if you like :)

Arturiano [62]3 years ago
5 0

Answer:

Hello,

Boat speed=7 miles/h

Current speed = 1 mile/h

Step-by-step explanation:

I am going to try to explain.

Let say V the speed of the boot (V like vitesse in french)

Let say v the speed of the current.

distance=24 miles

\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\

Boat speed=7 miles/h

Current speed = 1 mile/h

You might be interested in
The amount of $180.00 is what percent greater than $135.00
olga nikolaevna [1]
Percent change = ((new value) - (old value))/(old value) × 100%
  = (180 -135)/135 × 100%
  = 33 1/3%

180 is about 33% greater than 135.
8 0
3 years ago
How many solutions does this have ?
Gemiola [76]
It has one solution that I know of
8 0
3 years ago
Read 2 more answers
A homemade loaf of bread turns out to be a perfect cube. Five slices of bread, each 0.6 inch thick, are cut from one end of the
erastovalidia [21]

A cube has all sides of equal length.

So let the side be x

that will be length = width = height = x  

Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf.  But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.

For each slice the dimensions are -

Length = x

height = x

width = 0.6

Volume of the original loaf is x³.

Volume of  5 slices is 5(x * x * 0.6).  

Volume that is left after the cutting the slices is 235 inch³.

So, equation of the volume is=

x³ - 5(0.6x²) = 235

Solve for x using this equation.

x³ - 3x² = 235

x³ - 3x² - 235 = 0

Using a graph calculator to find the roots, we get

x = 7.35

Hence the dimensions of the original loaf is 7.35 inches for each side.

Please find attached the graph.

7 0
3 years ago
Jo.
AleksAgata [21]
Oh okie so sorry sorry about the delay in
3 0
2 years ago
Solve the system of equations using substitution
Andru [333]

Answer:

x = 136/11 , y = 68/11

Step-by-step explanation:

Solve the following system:

{6 x - y = 68

2 y = x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{6 x - y = 68

2 y = x

Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.

2 y = x is equivalent to x = 2 y:

{6 x - y = 68

x = 2 y

Hint: | Perform a substitution.

Substitute x = 2 y into the first equation:

{11 y = 68

x = 2 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{11 y = 68

x = 2 y

Hint: | Solve for y.

Divide both sides by 11:

{y = 68/11

x = 2 y

Hint: | Perform a back substitution.

Substitute y = 68/11 into the second equation:

{y = 68/11

x = 136/11

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 136/11 , y = 68/11

7 0
3 years ago
Other questions:
  • An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum o
    15·2 answers
  • The scale on a map shows that 1 inch equals 5 feet. What is the distance between two points that are 8 inches apart on the map ?
    9·1 answer
  • Is (4,-3) a solution to this system? 3x-3y=21 5x+4y=24
    9·2 answers
  • The
    5·2 answers
  • 21z^2+85z-26=0<br> Please solve using factoring
    11·1 answer
  • Currently stuck on this problem
    14·2 answers
  • If the sum of the total mining costs for student 1 and student 2 is $40, what is the cost of equipment for student 2?
    9·1 answer
  • What is the solution to |2x-3|&lt;4
    9·1 answer
  • Is this a function or not a function?
    13·1 answer
  • What fraction do you get when you divide 5 by 6?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!