A man cycles to a village at 18km/hr and returns at 12km/hr. If he takes 6 tahrs
for the double journey, how far does he ride altogether?​

Answers

Answer 1

Answer:

30km/hr

Step-by-step explanation:

18km/hr +12km/hr

Answer 2

The man rides 86.4 km distance.

What is speed?

Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.

Speed is directly Proportional to Distance and inversely proportional to Time.

Speed = Distance/Time

Given,

Speed of man way to the village = 18km/hour

Speed of man when returns from the village = 12km/hour

Time for double journey = 6 hour

Let going time is x and returning time is y

x + y = 6   -------(a)

⇒ x = 6 - y

Distance for going = distance for returning

18x = 12y

Putting value of x in terms of y

18(6 - y) = 12y

108 - 18y = 12y

30y = 108

y = 108/30

y = 3.6 hours

Putting value of y in equation (a)

x + 3.6 = 6

x = 6 - 3.6

x = 2.4

Returning time = 3.6 hours

Returning distance = returning time × returning speed = 3.6 × 12

Returning distance = 43.2 km

Going distance = Returning distance = 43.2

Total ride distance = 43.2 + 43.2 = 86.4 km

Hence, 86.4 km is the distance of ride by the man.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ2


Related Questions

PLEASEE HELP ME PLEASE IT IS 30 POINTSS

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Perimeter of ABC is 67.
ADC is equilateral and ABC is isosceles. Angle CAB=60, ACB=60 and ACB=60. Find perimeter of triangle ADC.
(Triangle ADB intersects at an angle of 60 deg in triangle ABC.)​

Answers

Answer:

man can u send the pic of the diagram I will solve it

What is the opposite of - 7/16

Answers

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.

9^(x + 2) = 27
Can someone help solve

Answers

Answer:

x=-.5

Step-by-step explanation:

F(x) = x^3 + x^2-5x-6 at x=2

Answers

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

PLEASE ANSWER QUESTION ASAP BEFORE 6:30 p.m.
SHOW WORK PLEASE
WRITE IT ANSWER FRACTION PLEASE
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of decrease of the value of the car?

P.S. This is a percent increase/decrrease
from: 9559
to: 8500

%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)

Answers

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

Please help me with this

Answers

Answer:

Step-by-step explanation:

The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.

The missing side is the hypotenuse

x + 2x + sqrt(x^2 + (2x)^2 ) = 28

3x + sqrt(x^2 + (2x)^2 ) = 28

sqrt(x^2 + (2x)^2 ) = 28 - 3x                 Square both sides

x^2 + 4x^2 = 784 - 168x + 9x^2

5x^2 = 784 - 168x + 9x^2

0 = 784 - 168x + 4x^2                         Use the quadratic formula to solve this. It does not factor.

x = 5.34

2x = 10.68

hypotenuse = sqrt (5*5.35^2)

hypotenuse = 5.35*sqrt(5)

hypotenuse = 11.96

=============

Shortest leg = 5.35

Other leg = 10.7

Hypotenuse = 11.96

Total = 28.01

So the answer is mathematically correct for the hypotenuse being the unknown.

#################################

If the leg is unknown, then I'll set up the equation and you can solve it.

x + sqrt(4x^2 - x^2) + 2x = 28             subtract x from both sides

sqrt(4x^2 - x^2) + 3x = 28                   Square both sides

sqrt(3x^2) = 28 - 3x                    

3x^2 = 784 - 168 + 9x^2

6x^2 - 168x + 784 = 0

x = 5.91

You can carry on from here.

Answer:

Step-by-step explanation:

Let's call the sides a,b,c

P=28 so

a+b+c=28

twice as long means a = 2b  substitute in equation above

2b+b+c=28

3b+c=28

but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse

Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c

a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²

4b² = b²+c² or c² = b²+ 4b²

3b² = c² or c² = 5b²

yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784

9b²-168b+784=3b² or 9b²-168b+784=5b²

6b²-168b+784=0 or 4b²-168b+784=0

and probably solve using quadratic equations

is line b: y=3x-8 parallel or perpendicular line​

Answers

Answer:

parallel i believe

Step-by-step explanation:

Find the area of the shape below.
16 cm
7 cm
7 cm
20 cm

Answers

Answer:

Area = 230 cm

Step-by-step explanation:

We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).

The area of a rectangle is given as:

[tex]Area = width * length[/tex]

and the area of a triangle is given as:

[tex]Area = \frac{1}{2} *base * height[/tex]

Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.

Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.

We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.

Which expression is equivalent to 4(x+12)

Answers

Answer:

4(x + 12) = 4x + 48

Step-by-step explanation:

Answer:

2(2x + 6)

Step-by-step explanation:

Please help!!!

Explain and correct the error in this calculation.

Answers

Answer:

for more math help use the app called connects

On the Cartesian plane, the midpoint between two points $A(a,b)$ and $B(c,d)$ is $M(m,n)$. If $A$ is moved vertically upwards 8 units and horizontally to the right 2 units, and $B$ is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between $A$ and $B$ is $M'$. What is the distance between $M$ and $M'$?

Answers

Answer:

5

Step-by-step explanation:

The distance between M and M' is 5 units in the cartesian plane.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The midpoint M of A(a,b) and B(c,d) is given by:

M(a+c/2, b+d/2)

After the two points are moved, the new coordinates are A'(a+2,b+8) and B'(c-10,d-2).

The new midpoint M' of A'(a+2,b+8) and B'(c-10,d-2) is given by:

M'(a+2+c-10/2 , b+8+d-2/2)

M'(a+c-8/2 , b+d+6/2)

To find the distance between M and M', we can use the distance formula:

d(M,M')=√((a+c)/2 - (a+c-8)/2)²+((b+d)/2-(b+d+6)/2)²

=√4²+(-3)²

=√16+9

=5 units

Hence, the distance between M and M' is 5 units.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ2

B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

What is a triangle?

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

https://brainly.com/question/2773823

#SPJ2

The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​


–5x+2 - 4; Prove: x = 6

Answers

Answer:

Step-by-step explanation:

-5x+2-4  if x =6

-5(6)+2-4

-30+2-4

-30-2

-32

Convert 150 degrees to radians

Answers

Answer:

it would be 5pi/6 radians

Step-by-step explanation:

Answer:

[tex]\frac{5\pi }{6\\}[/tex]

Step-by-step explanation:

to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify

150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]

round off 0.02435 to three significant and add to 0.00732​

Answers

Answer:

0.03172

Step-by-step explanation:

Leading zeros (Zero before non-zero numbers) are not significant

0.02435 have 4 sigfig, round off to 0.0244, 3 sigfig

0.00732+0.0244 =0.03172

Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?

Answers

Answer:

16.225

just times 2.5 times 6.49

I need help please anyone can help me !!!!

Answers

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

Find the equation that passes through points A and B

Answers

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?

Answers

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

jsn=55

The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?

(−1, 1)
(1, −1)
(3, 2)
(2, 3)

Answers

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

C.

✔(3, 2)

Step-by-step explanation:

E-2021

need help on this too ​

Answers

Answer:

I am pretty sure it’s either the first one or the last one

Step-by-step explanation:

how do i find the slope of a line graph

Answers

Answer:

rise over run

Step-by-step explanation:

you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x

y/x this is the slope

Write the equation of the line passing through a points A and B.

A(-4,3) and B(-3,9)

Answers

Answer: y=6x + 27

Step-by-step explanation:

Answer:

not sure yet. hold on. a second

Paula bought a ski jacket on a sale for $7 less then half its original price. She paid $87 for the jacket. What was the original price?

Answers

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

Indicate whether the following statements are True or False. Select your answer by using the drop down menus. A. The distance between -7 and 9 on a number line is 16. Choose... B. The distance between 8 and -3 on a number line is 11. Choose... C. The distance between -5 and 15 on a number line is 10. Choose... - D. The distance between 12 and -2 on a number line is 14. Choose... -

What is the answers to all of them true or false.​

Answers

Answer:

a:t

b:t

c:t

d:t

Step-by-step explanation:

You have 50 quarters. You find 20​% more quarters in your room. Then you go shopping and spend 25​% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left.

Answers

Answer:

$11.25

Step-by-step explanation:

Which statement about the diagram are true? Select three options.
DE+EF> DF

Answers

Answer:

wheres the picture dude

Step-by-step explanation:

can anyone help ?????

Answers

4/10 because I said so

Anyone know the answer?

Answers

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

Other Questions
Use the drop-down menus to identify the type of mass movement in each image.A: First imageB: Second imageC: Third image(Answers: creep, mudflow, and slump) 236Compare and contrast mediation with arbitration. Is 1.6 or 1.25 bigger Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive? Motor Sales sold its old office furniture for $9000. The original cost was $17,000, and at the time of sale, accumulated depreciation was $14,000. What is the effect of this transaction? a. gain of $9000 b. gain of $6000 c. loss of $6000 d. loss of $9000 Which statement is a theme supported by this paragraph?In a chaotic situation, people often help others before helping themselves.In a chaotic situation, people sometimes act without regard for others.In a dangerous situation, people are able to look out for only themselves.In a dangerous situation, people try to associate only with people they know. Salutary neglect, the long distance between the colonies and England, and the tradition of town hall meetings all led to the-O A Growth of representative self government in the American colonies OB. Dependence of the colonies on French manufactured goods O C. Decline of slavery in the American colonies OD. Decline in colonial manufacturing ________ cells are involved in fertilization.a.diploidc.triploidb.haploidd.all of the above Ms. Hogan paid $13.25 for 5 tacos and 1 soda. The price of a taco is $2.50. What is the price of the soda? You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate. PARTAWhich of the following best describes the process by which the bacteria are breaking down the glucose to producelactic acid?A The bacteria are breaking down sugars in the absence of oxygen.B The bacteria are creating a H+ gradient to synthesize more ATP.The bacteria are using their mitochondria to break down glucose in the presence of oxygen.The bacteria are producing CO2 in the Krebs cycle that is then converted into lactic acid. To get a tone of a certain color, you just mix that color with black.TrueFalse 8(4y - 3) + 2(y - 5) solve the equationpls help me 2. How can glass be a liquid if it's so hard? help me solve. this is science. Which one is it Can you help me? pls thanks Choose the true statement about Romantic music.Secular and sacred music were equal.Opera was unimportant.Orchestral music dominated instrumental music.Vocal music all but vanished. 27 : 18 = 13 : x find x You are doing math homework and get frustrated and throw the 7 kg book with a force of 47Newtons. How much acceleration will the book have when you throw it?