a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?​

A Motorboat Takes 5 Hours To Travel 150 Miles Going Upstream. The Return Trip Takes 3 Hours Going Downstream

Answers

Answer 1

Answer:

Speed of boat in still water = 40 mph

Rate of current = 10 mph

Step-by-step explanation:

Let the speed of boat in still water be x & let the speed of the stream be y.

Total Distance = 150 miles

Time taken to travel during upstream = 5 hrs

Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]

Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.

Time taken to travel during downstream = 3 hrs

Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]

Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.

We got a pair of linear eqns. Let  [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,

From eqn.1 , [tex]x-y=30[/tex]

[tex]=> x = y + 30[/tex]

Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]

[tex]=> y + 30 + y = 50[/tex]

[tex]=> y + y = 50-30[/tex]

[tex]=> 2y = 20[/tex]

[tex]=> y = \frac{20}{2} = 10\: mph[/tex]

Putting y in eqn.1 ,

[tex]x - 10 = 30[/tex]

[tex]=> x = 30 + 10 = 40 \:mph[/tex]

Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph


Related Questions

It costs each barber at Denny Moe's Superstar Barbershop $125.50 to use one chair for the entire day. The average barber at Denny Moe's Superstar Barbershop earns an income of $345.25. What is the profit for the average barber at Denny Moe's Superstar Barbershop?
$219.75
$220.25
$460.75
$470.75

Answers

Answer:

A-219.75

Step-by-step explanation:

Answer:

$219.75

Step-by-step explanation:

The profit is the difference between the income and costs, which in this example would be $345.25 - $125.50 = $219.75

The radius of a right circular cylinder is increasing at the rate of 7 in./s, while the height is decreasing at the rate of 3 in./s. At what rate is the volume of the cylinder changing when the radius is 17 in. And the height is 5 in.?

Answers

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

PLEASE HELPP
in the table, y is a linear function of x. what is the value of y when x=0

Answers

Answer:

3

Step-by-step explanation:

by the way i love your profile picture

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answers

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

Help please ............

Answers

Answer: 0.45

Step-by-step explanation:

(no 2 and 4) 15%+30% = 45%

45/100 = 0.45

The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 ​minutes?

Answers

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

help im a transfer i dont understand this

Answers

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression?

Answers

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

BRAINLIEST! URGENT! Please help, if you explain how you got the answer, I WILL GIVE BRAINLIEST.​

Answers

a triangle is 180 degrees, so if you do 180-34 is should equal 146, so b + c = 146°

7. This year, the water in a reservoir dropped by 60%. For the original water level to be restored next year, by what percent must the remaining reserves increase?

Answers

Answer:

Given: Water in a reservoir dropped by 60%

Step-by-step explanation:

let the total water level of reservoir be 100.

then, in first year

the water reservoir dropped = 60% of 100

                                               =[tex]\frac{60}{100}[/tex] * 100

                                               = 60

therefore, total water level needed to be restored till next year= 100

remaining water level to restore till next year= 100-60

                                                                           =40

                                                       percentage= [tex]\frac{40}{100}[/tex] * 100

                                                                         =40%

                     

math is hard im not sure for this

Answers

Answer:

c. 39 miles per hour

Step-by-step explanation:

If you look at the graph, each hour has a marking of an interval of 39, starting at (1,39).

(hope this helps-and math gets better)

Anyone know the answer?!

Answers

Using elimination method: x = -79/4 , y = -45/8

The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x

Answers

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8

write this rate as a unit rate 1/7 1/14

Answers

Answer:

1/7in=1/14min

14/7in=min

2in=min

the rate is 2 inches per minute.

Step-by-step explanation:

Answer:

The answer is 2.

Step-by-step explanation:

First you have to change 1/7 divided by 1/14 like this: 1/7 times 14/1.

Second solve the equation, 1/7 x 14/1 = 14/7 = 2.

Thank you for reading this, I hope this was helpful.

please answer i will give brainliest and extra points!

Answers

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

Can anybody help please I’ll mark brainlist!

Answers

182.5 times 0.12 is 2.19, so the answer is $2.19.

You have been working with irregular figures. How is estimating area on a grid different from estimating perimeter on a grid? how do you explain?

Answers

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

your welcome

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

Credit to the guy above.

Plz I beg u help metttttttttttt

Answers

Did you want to go to the Internet where is it and click the first link you see and boom

Answer:

2. 260

3. 16

4. 71

5. 47

6. 137

8. 23

Step-by-step explanation:

Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.

Answers

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:

Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

Answers

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

If interest is compounded semi-annually, which expression
represents the account balance in t years?

Answers

Answer:

The equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

Given the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

here

A represents Accrued Amount (principal + interest)

P represents Principal Amount

I represent Interest Amount

r represents the Annual interest rate

t represents Time Involved in years

n represents the number of compounding periods per unit t

As we are given that the interest is compounded semi-annually

i.e. n = 2

so substituting n = 2 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]       ∵ n = 2

Thus, the equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Can anybody answer this question??

Answers

The answer is A

as the x+ 4 is when we replace x with 0

x=0

so

y=0+4

=4

So the line of y must intersect at (0,4) coordinate

which is given as in A and should be a positive slope

If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?

Answers

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

36 is the right answer.

50 points and will mark brainlist


READ ABOVE

true

or


False

or


Not enough information

Answers

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

Answers

Answer:

129 IS THE ANSWER

Step-by-step explanation:

What is the product?
[4 2] x [-2 5 7 -1]

Answers

Answer:

The answer is C

Step-by-step explanation:

multiply choice question! which one?

Answers

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1

Answers

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

A rectangle made of squares is shown . The length of the side of each square is 1 cm create an equation to find the area of the rectangle. Move numbers an symbols to the lines

Answers

Answer:

See Explanation

Step-by-step explanation:

The rectangle is not shown. To solve this question, I'll make use of the attachment.

Apply the same steps, and you'll get the answer to your question.

From the attachment, we have:

[tex]Rows = 3[/tex]

[tex]Columns = 4[/tex]

Since the length of each square is 1 cm, then

[tex]Row = 3cm[/tex]

[tex]Column = 4cm[/tex]

So, the area is:

[tex]Area = Row * Column[/tex]

[tex]Area = 3cm * 4cm[/tex]

[tex]Area = 12cm^2[/tex]

A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage

Answers

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

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