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
URGENT How to find the value of x<br> 4x = 8
Mekhanik [1.2K]
<h2>x = 2</h2>

To find the value of x, we need to use division method.

Divide 8 from 4, we get:

8 ÷ 4 = 2

This means that we get:

<h3>x = 2</h3>

Finally, recheck the answer by:

4(2) = 8

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

4 0
2 years ago
Read 2 more answers
A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame
romanna [79]

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"

5 0
3 years ago
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00
Afina-wow [57]
<span>Answer: 4

Explanation:

Translate the english language to mathematical (algebraic) language.

This implies to define the variables and translates the statements into equations.

1) Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.

Cost = price of the mp3 player + price each song * number of songs

Variables:

number of songs: n
price each son: $3.25
price of the mp3 player: $ 18.00
Cost: c(n), this means that the cost is a function of n.

c(n) = 18 + 3.25n

2) King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?

Using the same procedure used for Adventure Play case:

c(n) = 23 + 2n

3) Equal cost =>

18 + 3.25n = 23 + 2n

=> 3.25n - 2n = 23 - 18
=> 1.25n = 5
=> n = 5 / 1.25
=> n = 4

Answer: the cost will be the same for 4 songs.
</span>
4 0
3 years ago
How many 3 letter words can be made from 4 letters “FGHI” if repetition is allowed and if repetition isn’t alllowed ?
PolarNik [594]

Answer:

1. Word: Fig

Definition: The hollow, pear-shaped false fruit of the fig tree, with sweet, pulpy flesh containing numerous tiny, seed-like true fruits.

2. Word: GIF

Definition: Is an image file that is compressed to allow it to be transferred quickly, or an animated gif which is a collection of images played in sequence to appear to move.

3. Word: Ghi

Definition: Uncountable (is also the alternative spelling of ghee)

Step-by-step explanation:

8 0
3 years ago
What is 48 divided by 2 (9+3) =?
Rzqust [24]
the answer is 48÷2 (9+3) = 288
6 0
4 years ago
Other questions:
  • a store buys hirts for $18 and marks them up by 49% for retail sale. What is the retail price of each shirt.
    11·2 answers
  • Write 6 and 3 fifths as a improper fraction and as a mixed number.
    7·2 answers
  • What does pi equal? BTW yesterday was pi day (:
    6·2 answers
  • The function f(x)=|2x| is an example of a function that has a horizontal shrinkage of 2.
    10·1 answer
  • Can someone help me out
    11·1 answer
  • A hose is filling a water tank at the rate of 70 gallons per minute. A loose drain plug causes 4 gallons per minute to drain out
    5·1 answer
  • Find the exact value of cos15
    9·2 answers
  • Events first song is 4 minutes and 12 seconds long and has 462 beats the band wants to have a second song that is 3 minutes and
    11·1 answer
  • Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im runn
    5·1 answer
  • COORDINATE GEOMETRY Find the perimeter and area of each figure with the given vertices. 20. D(-2,-2), E(-2, 3), and F(2, -1)​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!