Man travelled twofifth of his journey by train,onethird by bus, one fourth by car and thr remaining 3 km by foot . What is the length of his total journey

Answers

Answer 1

Answer:

180 km

Step-by-step explanation:

Let total length of journey = x

By train = 2/5x

By bus = 1/3x

By car = 1/4x

By foot = 3km

(2/5)x + (1/3)x + (1/4)x + 3 = x

L. C. M of 5, 3 and 4 = 60

(24x + 20x + 15x) / 60 = x

24x + 20x + 15x + 180= 60x

24x + 20x + 15x - 60x = - 180

-x = - 180

x = 180

Hence, total length of journey = 180km


Related Questions

Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:

Answers

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

There are 12 squares and 20 triangles. What is the simplest ratio of squares to triangles?

Answers

Answer: 12:20 but if simplified then it is 3:5! This is the simplest ratio of square to triangles Explanation: I found the "GCF" (Greatest Common Factor) which was 4 and I got 3 for 12/4 and 5 for 20/4

Which of the following is true about similar figures?

All similar figures are congruent.


If two figures are not similar, they can still be congruent.


All congruent figures are similar.


If two figures are not congruent, they can't be similar.

Answers

Answer:

All congruent figures are similar

Step-by-step explanation:

Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.

All similar figures are congruent is true about similar figures

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

In mathematics, congruent means identical, and you can cite examples to support your claim.

just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.

If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.

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y = 5 - 3x Rewrite in y = mx + b form.

Answers

y=-3x+5
hope this helped!!

which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)​

Answers

Answer:

The area of circle = πR ^2

And diameter = 7 units

By interchanging d in R =d/2 = R =7/2 = 3.5

Step-by-step explanation:

πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 Answer

Hope it's help ^_^

Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).

Answers

Answer:

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

Domain: [tex]x \ne 1[/tex]

Step-by-step explanation:

Given

[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]

[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]

Take LCM

[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]

[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

To get the domain, we set the denominator as

[tex]5x - 5 \ne 0[/tex]

[tex]5x \ne 5[/tex]

[tex]x \ne 1[/tex]

UGHHHHHH HELPPP!!!!!!!! The sum of a number and 3 more than twice the number is less than 36. Find the number! ANSWER QUICKLYYYY

Answers

Step-by-step explanation:

Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"

3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this week?​

Answers

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]

Can somebody please solve these for me I don't wana do it (thats why i am using so many points)

Answers

Down                            

6. 4,011                          

10. -94

11. 26

13. 178

15. -8

16. 6,861

18. 3,482

20. 385

22. 788

24. -5

25. 44

Across

1. -248

5. -9

7. 4,923

8. 90

9. 67

10. -912

12. 119

14. 16

15. -6

17. 743

19. 8,838

21. 47

23. 68

24. -884

26. 15

27. 7,284

16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes​

Answers

Answer:

equation: y=-2,000x+30,000

altitude after five minutes: 20,000

Step-by-step explanation:

y = altitude of the plane

x= slope (the plane descends -2000 feet per min, so the slope is -2000)

the y-intercept is 30,000 as the plane begins at 30000 feet above ground

What is the sum of -7 1/6 + 3 5/6 in simplest form?

Answers

Answer:

-3 1/3

Step-by-step explanation:

Can you write 10 2/3 as an improper fraction?

Answers

Answer:

10 2/3 is 32/3

Step-by-step explanation:

10*3=30

30+2=32

32/3

.

Step-by-step explanation:

10 2/3

add 10 + 2/3

continue

question no. 3 the square root pls help guys pls ​

Answers

the answer to number 3 is 198

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?

Answers

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

Given mn, find the value of x.​

Answers

You would do 118- 180 because a straight line adds up to 180

The answer is x =62

The value of the angle x in the given set of parallel lines is 62°.

Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,

We need to find the value of x,

Here, we can use the property of corresponding angles to find the value of x.

Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.

In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.

Since the corresponding angles are equal, we can set up the equation:

180° - x = 118°

x = 62°

Hence the value of x is 62°.

Learn more about corresponding angles click;

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Addilyn received 300 of the most popular beads for her birthday.
There are 30 beads per package. How many packages did she receive?


1. a = 300 + 30

2. a = 300 x 30

3. a = 300 divided by 30

4. a = 300 - 30

Answers

The correct answer is 3: a= 300 divided by 30

Answer:

3. a=300/30

Step-by-step explanation:

you want to figure out how many packages she received, and there are 30 beads in each package. so, you divide the total amount of beads (300) by the amount in each package to determine how many packages there are. 300/30=10 packages of beads

first question is Bitcoin is a virtual currency used to buy things online. An investment of $5125 in bitcoins grew 48 times. What is the total value of the investment?

And the second question is The cost of each projector in an office is $9841. Find the cost of 210 such projectors.
$
tell me the answer A S A P plz

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 1. $246,000 2. $20,66,610 is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

-1/2 (10+1/4)


A. -5 -1/4

B. -5 -1/8

C. -5 +1/8

D. -5 +1/4.

Please help, I'll mark first correct as Brainlyest

Answers

Answer:

-5 1/8

Step-by-step explanation:

-5 1/8


[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]

Answers

Answer:

radius r = 9.8 m

base circumference C = 61.575216 m

volume V = 1971.22792 m3

curved surface area A = 603.437117 m2

base surface area B = 301.718558 m2

total surface area K = 905.155675 m2

4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm

Answers

The answer is
Some 10 cm

how are angles of an equilateral triangle related?

Answers

All are 60 degrees because of equal lengths and equal angles
Since 180 ° in triangle means 180/3 =60

Hope this helps!

Answer:

If the triangle is equilateral, then the triangle is also equiangular.

Step-by-step explanation:

9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8

Answers

Inequality: 4000= 305 + x50
Answer: 74 boxes

Explanation: To get 305 you add the weight of the cart and the weight of the worker

Then create the inequality
Subtract 305 from 4000 and you get 3695

Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50

Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74

Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!

Answers

Answer:

A.B

Step-by-step explanation:

5 - sqrt1.35 =  ~3.8

A) 3 / sqrt2 = ~2.1

B) 5 / sqrt3 = ~2.9

C) 3 + 2sqrt2 = ~5.8

D) 4 + 8/sqrt50 = ~5.1

I need help will give crown

Answers

Answer:

$15 per hour and he worked 5 hours yesterday.

Step-by-step explanation:

Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.

Set up the equation like this.

7x=105

Divide by 7 to isolate the x

x=15

That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.

15x=75

Divide by 15 to isolate the x

x=5

That means he worked 5 hours yesterday.

P.S. give me crown

Answer:

 He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5  hours that day and he made 75 dollars.  

Step-by-step explanation:

This is a short answer so u dont have to write that much.

What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5

Answers

Answer:

c because 5×4=20 and 3×5÷2=7.5= 27.5

Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?

Answers

You have to include a picture for us to see what’s the choices

Which of these equations has no solution 6(x - 2) = 6x - 3
2(x - 3) = 2x - 6
3(x - 2) = x - 6

Answers

go with your heart if you think that your heart is telling you something just go with it trust your instinct

Select the correct answer from the each drop-down menu. if 0

Answers

Answer:

You didn't provide a image of the problem how am I suppose to help you

evaluating reports , help me please ...

Answers

Well I think it’s b
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