A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
How far did it travel? Give your answer in km to 1DP

Answers

Answer 1

Answer: The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

Answer 2

Answer:

The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km


Related Questions

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 10 square feet. Find the length of the rectangle.

Answers

It’s 7929281 becuase idc
length=5ft
width= 2ft

10ft=l x w
w= l -3

10ft= l(l-3)
0= l^2 -3l-10
0= (l-5)(l+2)
l=5, l≠-2 (because a measurement can’t be negative)

w= 5-3
w=2

Two pieces of ribbon, one with a length of 63 inches and another with a length of 42 inches are cut into pieces of equal length without remainder. Find the greatest possible length that the pieces can be.

Answers

Answer

224 over 567

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

the greatest possible length that the two ribbons would be when the ribbons are divided by their lowest common multiple.

The lowest common multiple of 63 is 3. 63/3 = 21

The lowest common multiple of 42 is 2 = 42/2 = 21

What is the value of 6 + 2x when x = 5?
04
O 13
O 16
0 40

Answers

6+2*5 (first multiplication) so 2*5=10
And then you just add 6+10
So it’s 16

PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1

Answers

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21

Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

How to answer 3x + 2 < -4

Answers

Answer:

[tex]3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}[/tex]

x<-2 is the right answer.

Answer:

x < −2

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x + 2 < −4

Step 1: Subtract 2 from both sides.

3x + 2 − 2 < − 4 − 2

3x<−6

Step 2: Divide both sides by 3.

3x / 3 < −6 / 3

x < −2

Answer:

x < −2

Hope this helps :)

Marina Polyakova pays a total of $1150 per month for rent and electricity. It costs $650 more for rent per month than for electricity. What are the costs for each?​

Answers

Answer:

900 and $250

Step-by-step explanation

Given data

Total cost of utilities per month =$1150

Let the cost of rent be x

And the cost of electricity be y

x+y=1150---------1

It costs $650 more for rent per month than for electricity

x=x+650-------2

From equation 1

x+x+650=1150

2x=1150-650

2X=$500

x=500/2

x=$250

Hence the cost of electricity is $250

And the cost of rent is $650+250

=$900

Check
A contestant on a game show has –1,500 points. He loses another
750 points. What is his new score?

Answers

His score would be -2,250

The answer would be 250

Answers

Answer:

Thank you....... I guess

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

y = 2x - 4
y = x + 1


solving by substitution, can any tell me what x and y equal?​

Answers

Answer:

y=6 and x=5

Do you like BTS?

Kira buys 5 pounds of squash for ​$4.65 and 3 pounds of cabbage for​ $3.28. How much does one pound of squash​ cost?

Answers

Answer:

One pound of squash is 93 cents

Step-by-step explanation:

Divide: 4.65 divided by 5=93

93 cents

Hope this helped!! :)

Stay safe and have a wonderful day/afternoon/night!!!

Brainliest?!?!

X+2y=10
X+y=6
Using eliminations to solve each system

Answers

Answer:

x= 2

y=4

Just subtract by like numbers.

x + 2y = 10

x + y = 6

Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.

x + 2y = 10

-x - y = -6

Subtract.

y = 4

Now that we figured out y, we have to figure out x. Substitute y into one on the equations.

x + 4 = 6

x = 2

Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.

y=3x + 4 Find the value of y when x=4

Answers

16

its 16 because you’d rewrite the equation as y=3x4+4

Evaluate the expression when a=4 and y=-6.
a-7y

Answers

Answer:

46

Step-by-step explanation:

(4) - 7(-6)

4 + 42

46

In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.

Answers

Answer:

112 cm.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle IJK:

We can find the length of j using cosine rule:

[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]

What the missing side angles

Answers

62.
The angles combined should be 180.
180-90-28=62
Angle A is a 62 degree angle

— 9a3. — Зазь
simplify

Answers

Answer:

-3a(9+3b)

Step-by-step explanation:

-9a3-3a3b

= -27a-9ab

= -3a(9+3b) answer

The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number

A 4 in
B 6 in
C 1 in
D 2 in

Answers

Answer:

D. 2 inches.

Step-by-step explanation:

Given the following data;

Volume of golf (sphere) = 4 in³

A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the equation, we have;

[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]

Cross-multiplying, we have;

[tex] 12 = 4 * 3.142* r^{3} [/tex]

[tex] 12 = 12.568 * r^{3} [/tex]

[tex] r^{3} = \frac {12.568}{12} [/tex]

[tex] r^{3} = 1.0473 [/tex]

Taking the cube root of both sides, we have;

Radius, r = 1.016 inches.

To find the diameter;

Diameter = radius * 2

Diameter = 1.016 * 2

Diameter = 2.03 ≈ 2 inches.

Answer:

the answer is 2.

Step-by-step explanation:

i just did this question on the exam

whats -4 (x - 5) = 40

Answers

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

Cross-multiply 9 cups / 15 people = ? cups / 75 people.

Answers

Answer:

The answer would be 45 cups/ 75 people

Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?

Answers

the young lad invested 6000$

Answer:2000

Step-by-step explanation:

Dio can run 5 meters in 0.1 seconds using "The World". How much further
will Dio move from Jotaro if he can move for 4 seconds?

Answers

Answer:

If Dio Brando can run 5 meters in 0.1 seconds using Za Warudo he will move 200 meters closed to jotaro in 4 seconds although he can just stop time and move 200 meters closer to jotaro in 0.1 seconds

Step-by-step explanation:

Im cool

Answer:

ZA WARUDO TOKI YO TOMARE

Step-by-step explanation:

ROAD ROLLA DA!!!!!!!!!!!!!


MUDAMUDAMUDAMUDAMUDAMUDA
MUDAAA!!!!!!!!!!!!!!!!

Find an ordered pair that satisfies the function y=2x-12

Answers

Maybe try A. So answer A

The graph of the piecewise function f(x) is shown.
What is the domain of f(x)?

Answers

Pretty sure it’s the first option

Answer:

its the first one

3. The spinner below is spun 10 times. If the experimental probability of landing on a 3 is then what is the difference between the experimental and the theoretical probabies? ​

Answers

Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.

I hope it is helpful

⚠️⚠️⚠️⚠️HELLPP⚠️⚠️⚠️

Use completing the square to solve for x in the equation (x-12)(x+4)-
O x= -1 or 15
O x= 1 or 7
x=4+ JAT
O x=4573

Answers

Answer:

x = 4 ± [tex]\sqrt{73}[/tex]

Step-by-step explanation:

d it is the answer all the way at the bottom

Thomas and Tina share a cake. Thomas eats 12.5% of the cake. Tina eats
2
176 of the cake. The fraction of cake remaining is "b/c". What is the value of
b? *
Your answer
This is a required question
O​

Answers

He I just wanted you you want my hair done I just got donewas a great

16. In the figure below, lines A and B are parallel.

Answers

Answer:

the angle measurement is 75

Step-by-step explanation:

please help will give brainliest PLEASE​

Answers

Answer:

b

Step-by-step explanation:

-2x + y = 3
what does x equal​

Answers

Answer:

Step-by-step explanation:

-2x+y=3

-2x=3-y

x=[tex]\frac{3-y}{-2}[/tex]

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