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

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]

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)

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]

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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

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

Answer:

-5 1/8

Step-by-step explanation:

-5 1/8

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

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°.

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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

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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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

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"

Answer:

c because 5×4=20 and 3×5÷2=7.5= 27.5

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

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.

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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.

Answer:

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

Answer:

-3 1/3

Step-by-step explanation:

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

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

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

Answer:

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

Step-by-step explanation:

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:

Hope it's help ^_^