The speed of a stream is 3 km per hour. A boat travels upstream 12 km and then returns to its original position downstream along the same route. If the speed of the boat in still water is 9 km per hour, what is the average speed of the boat for the entire round trip?

Answers

Answer 1

Answer:

7 km

Step-by-step explanation:

let the speed of boat in still water is x km/hr. 

given speed of stream is 3 km/hr. 

then speed of boat upstream = ( x - 3) km/hr

speed of boat downstream = (x + 3 ) km/hr 

Distance travelled upstream = 4 km

time taken to travel upstream = distance travelled upstream / speed of boat 

upstream

= 4 / (x - 3 ) .............(1) 

Distance travelled downstream = 10 km

time taken to travel downstream = distance travelled downstream / speed of boat 

downstream

= 10 / (x + 3) ............(2)

given that boat takes same time to travel upstream and downstream.i.e; (1) & (2) are equal

i.e. 4/(x-3) = 10/ (x + 3 ) 

4 * (x +3 ) = 10 * (x- 3)

4x + 12 = 10x - 30

12 + 30 = 10x -4x 

42 = 6x 

x = 42 / 6 = 7. 

i.e speed of boat in still water is 7 km/hr.


Related Questions

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

QUICKKK PLEASE HELP!!!! Q:43c +10d=?????

Answers

Answer:

53d

Step-by-step explanation:

1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?

Answers

Answer:

d

Step-by-step explanation:

is answer sd

What is the first step when evaluating the expression (4 + 8 ÷ 2) x 5 – 1

A: 4+8
B:8÷2
C: 2x5
D: 5-1​

Answers

Answer:

B 8÷2

Step-by-step explanation:

because of pemdas.

Answer:

B

Step-by-step explanation:

Follow the order of PEMDAS. So you gotta solve inside the prenthesis first following the order of pemdas and division comes first.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.

Answers

Answer:

No. The lines do not seem to intersect.

Step-by-step explanation:

When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)

Answer:

The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.

Does the system appear to have a solution after the changes?

✔ No. The lines do not seem to intersect.

Dominica has a total of 22 coins in her pocket, all of
them are nickels and dimes. If the value of the coins
is $1.50, then how many nickels does Dominica
have?

Answers

Answer:

So there are 14 nickels (worth a total of 70 cents) and 8 dimes (worth a total of 80 cents)

Step-by-step explanation:

Answer:

she has 2 nickels

Step-by-step explanation:

dimes=10 cents

nickels=5 cents

10x14=140

1.40

5x2=10

1.40+10=1.50

C. A circular puzzle is 20 inches in diameter. All of the pieces are about the same
size. You want to know about how many pieces there are in the puzzle.

Answers

Answer:

Circumference if the diameter is 20 the radius is 10 so if all the pieces are equal to 20 you have to find the radius(10) so the answer is 125 pieces

Step-by-step explanation:

Which of these pizza slices gives the best
value (the most pizza per dollar spent)?
A. a slice with a radius of 12 inches. central angle of 30 degrees, and a
cost of $3 per slice
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
C. a slice with a radius of 6 inches. central angle of 60 degrees, and a
cost of $2 per slice
D. a slice with a radius of 6 inches, central angle of 45 degrees, and a
cost of $1 per slice

Answers

Answer:

B. a slice with a radius of 8 inches. central angle of 45 degrees. and a

cost of $2 per slice

Step-by-step explanation:

brainest plz

Option B gives the best value.

What is a circle?

'A circle is a shape consisting of all points in a plane that are at a given distance from a given point which is the center.'

According to the given problem,

Radius = 8 inches

Diameter = 16 inches

Considering a pizza is a circle and the area of a circle increases with the square of the radius.

However 45 degrees being less inclined than 30 degrees.

Hence, a slice with a radius of 8 inches, central angle of 45 degrees gives the best value for $ 2 per slice.

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Luis has $660 in his savings account earning 4 1/2 % interest. How much interest will he earn in 2 years? How much money will be in the account?

Answers

Answer: $59.40 of interest in 2 years, $719.40 in total

Step-by-step explanation:

If you would divide $660 by $100 then 1% of that amount would be $6.60.  Assuming it is 4.5% from your question, if you would multiply the amount above then Luis would get $29.70 per year.  Also assuming that his savings account isn't changed over time, you would multiply 2 to get $59.40 which is the total amount of interest money earned in 2 years.  Add that amount to $660 and you would get $719.40 as the second part of the answer.

There are 599 children at Troy's school. There are 206 children
at Nada's school. About how many more children go to Troy's
school than to Nada's school?
400 children
B
250 children
500 children
800 children
Hurrry pls

Answers

The answer is 400 children lol

Answer:

About 400 more children attend Troy’s school than Nada’s school.

Paint costs $19.95 per gallon. Nicole needs 1.25 gallons to complete a painting project

Answers

Answer:

$25.00

Step-by-step explanation:

Set up a proportion: [tex]\frac{19.95}{1} = \frac{x}{1.25}[/tex]  Cross multiply, then divide: 19.95 × 1.25 = 24.9375, 24.9375 ÷ 1 = $24.9375Round your answer: $24.9375 → $25.00

I hope this helps!

can you guys help me please the things are
A
B
or C

Answers

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in slope intercept form

Answers

Answer:

y = (7/3)x - 9

Step-by-step explanation:

1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3

2. Equation of new line --> y = (7/3)x + b

Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.

3. Plug in given values --> 5 = (7/3)(6) + b

4. Solve for b --> b = 5 - 14    b = -9

5. New line --> y = (7/3)x - 9

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

What are the values of p and q?

Answers

Answer:

q = 94

p = 18

Step-by-step explanation:

The triangles are congruent so q = 94

Add q + 68 same as 94 + 68 = 162

Subtract 162 from 180 to get p

180 - 162 = 18

Hope this helps!

Givethanks, an Indian, wants to have a turkey dinner. He and his “dog”, Wolf, go looking for a turkey. While on this turkey hunt, they come across a field of corn. Givethanks just has to have some of the corn and picks some to take home. While in the corn field, Givethanks spots the biggest turkey he has ever seen and captures it. On the way home to his village, Givethanks and Wolf come to a river where there is a small boat that will only fit Givethanks and one other thing. Now, Givethanks wants to get Wolf, the turkey and the corn across the river, but Wolf will eat the turkey if they are left alone and the turkey will eat the corn if it is left alone with the corn.





Your Task: Figure out how Givethanks will get Wolf, the turkey and the corn across the river. You must show how you feel he can accomplish this task. You must write a paragraph explaining how you feel you can accomplish this task.

I need help with this.

Answers

Answer: The man and the turkey cross the river, (the wolf and corn are safe together), he leaves the turkey on the other side and goes back across.

The man then takes the wolf across the river, and since he can't leave the wolf and turkey together, he brings the turkey back.

Again, since the turkey and corn can't be left together, he leaves the turkey and he takes the corn across and leaves it with the wolf.

He then returns to pick up the turkey and heads across the river one last time.

...... this is a very old riddle. lol I had forgotten about it.

g(x)=−x−2, find g(1)

Answers

Answer:

g(1) = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = -x - 2

g(1) is x = 1

Step 2: Evaluate

Substitute in x:                    g(1) = -1 - 2Subtract:                              g(1) = -3

6.8 * 10(2)
*keep in note that "2" is an exponent in this question*

Answers

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

PLEASE ANSWER THIS I BEG YOU
PERCENTS - 58%, 48%, 12%, 5%
1. Estimate the first four percents as fractions with denominators that are less than 25.
2. Why is it difficult to estimate 1% as a fraction with a denominator that is less than 25?
(dont use my question for points please)

Answers

Answer:  The truth is, you can't

Step-by-step explanation:

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?

Answers

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

Joe surveyed 128 students at his school. In the survey, he asked students what type of sibling they had: brother, sister, both, or neither. His data is in the Venn diagram below.

Answers

Answer: 128 - 48 equals 80. 80 - 35 equals 45. That means the answer is 45.

Step-by-step explanation:

Make the expression a perfect square u^2 + 10u + 

Answers

Answer:

Take the coefficient of "u"

10

divide it by 2

5

square it

25

So, a perfect square would be

u^2 + 10u +25

which would be

(u +5)^2

Step-by-step explanation:

Terry flips a coin 150 times.Make a prediction that the coin will come up tales

A Exactly 300
B Close to but not exactly 300
C Exactly 75
D Close to but not exactly 75

Answers

Answer:

its either C or D

Step-by-step explanation:

there are 2 possible outcomes for getting either heads or tails so if we divided 150 by 2 we get 75, so about 75 times you could get tails.

so maybe it is D, but im not sure

I think the answer is D

Because when you divide 150 by 2= 75
You divide by two because it’s either heads or tails.
It wouldn’t be exactly 75 either because it’s just a game of chance.

Hoped this helped!

hurry please in test rn!!

Answers

answer y=2x+3

explanation
y=mx+b

find the measure of the arc mDE=​

Answers

Answer:

90°

Step-by-step explanation:

Hope it helps!!

The measure of Arc is 90 degree.

What is Arc?

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Since, m(arc EF) = Angle subtended by the arc EF at the center

                          = 146°

m(arc DE) = 90°

Thus, the measure of arc DE is 90 degree.

Learn more about Arc here:

https://brainly.com/question/20561465

#SPJ7

please help! one easy khan question <3

Answers

Answer:

It's the B

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]

[tex]d = \sqrt {(-2)^2 + (-5)^2}[/tex]

[tex]d = \sqrt {4 + 25}[/tex]

[tex]d = \sqrt 29[/tex]

Hope this helps, have a good day

please help first will be brainliest

Answers

Answer:

Just multiply or divide the numbers they give you try both

Step-by-step explanation:

Solve for w: 7w< -42​

Answers

Answer:

w<-6

Step-by-step explanation:

someone help please ;-;

Answers

Answer:

the one that looks like a v

Step-by-step explanation:

the are no vertical lines. it's the second graph

The second graph (the curved continuous one) is a function because it passes the vertical line test and can be written as y=mx+b.
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