Two trains travelling along parallel tracks in the same direction do 50 km/h and 100 km/h on average. The faster train starts 2 hours later than the slower. After how many kilometres will the faster train catch up?​

Answers

Answer 1

Answer:

200 km

Step-by-step explanation:

Let the faster train catches the slower one after x hours.

The distance the trains travel is same:

50(x + 2) = 100x50x + 100 = 100x50x = 100x = 2

The distance is:

50*(2 + 2) = 100*2 = 200 km

Related Questions

An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.

Answers

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:

A

Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x

Answers

Answer:

Step-by-step explanation:

5 x 6:30


WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select

Answers

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

after how many years will £6,000.00 yield a simple interest of £900.00 at 3%​

Answers

Answer:

add 1 Century to divide £6 000 000

Answer:

the answer to your question is 105 I think sorry if it's not

WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

to find slope the equation (y2 - y1) / (x2 - x1) is used

this means change of y over change of x

[-17 - (-2)] / (-3 - 2)

(-17 + 2) / -5

-15 / -5 = 3

the slope is 3

to find slope intercept form you must find the y intercept

using y = 3x + b and plugging things in we can find it

we can plug in the first point

-2 = 2(3) + b

b is your y intercept

-2 = 6 + b

b = -8

Answer:

y = 3/1x - 8

steps:

(2,-2) (-3, -17)

x1. y1. x2. y2

y2-y1

x2-x1

-17 - -2 = -15. = 3

-3-2. -5. 1

(2,-2)

y= mx + b

-2 = 3/1(2) + b

-2 = 6 + b

-6 -6

-8 = b

y = 3/1x - 8

3. The value of x varies directly with y,
and when x = 21, y=3.
Find the value of x if y= 10.

Answers

Answer:

70

Step-by-step explanation:

First you want to find the amount of x per 1 y so you divide 21 by 3 to get when x = 7 y = 1. Now you can just multiply 10 by 7 to get 70.

I hope this helps!

The perimeter of a triangle is 71 cm. If the longest side of the triangle is 8 cm longer than five times the shortest side and the third side is 7 cm less than four times the shortest side. How long is the longest side of the triangle?

Answers

Answer:

43 cm

Step-by-step explanation:

If the longest side of the triangle is 8 cm longer than five times the shortest side

5s + 8

the third side is 7 cm less than four times the shortest side

4s - 7

The perimeter of a triangle is 71 cm

s + (4s - 7) + (5s + 8) = 71

Combine like terms

10s + 1 = 71

Subtract 1 from both sides

10s = 70

divide both sides by 10

s = 7

---------------------------------

How long is the longest side of the triangle

5s + 8

5(7) + 8

35 + 8

43

Can somebody please help this is honestly due tomorrow

Answers

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

This the right one click it so you can get it right

Answers

Answer:

The one highlighted yellow is the correct option

6 liters is to 72 km as 50 liters is to x km

Use the figure below to find the values of x and y

Answers

Answer:

x=68 and y = 112

Step-by-step explanation:

angles of a triangle must equal 180, so

52°+60°+x°=180

112+x=180 <-- subtract 112 to get x on one side.

x=68

To solve for y, a straight line = 180 so

68+y=180 --> just subtract 180-68

y=112

Use your work from above to find the sum of 501+502+503+…+800

Answers

Answer:

Step-by-step explanation:

Gauss n(n+1)/2

which is n? the last number of the sum

500(500 + 1)/2 = 125,250

800(800+1)/2 = 320,400

uh oh forgot to read the last one, give me a minute. done

(800 - 501 + 1)(800 + 501)/2

300(1301)/2 = 195,150

or

320,400 - 125,250 = 195,150

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?

Answers

Answer:

answeris: C.(-6,-9)➡(6-9)

A large drink dispenser used at a school field day holds 640 ounces of lemonade. How many glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces?

Answers

Answer:

80 glasses

Step-by-step explanation:

640/8 = 80

Answer: 80 glasses

There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A large drink dispenser used at a school field day holds 640 ounces of lemonade.

Now,

Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;

= 640 ÷ 8

= 80

Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.

Learn more about the divide visit:

https://brainly.com/question/25018554

#SPJ2

6-4x=12+2x

Solve for x

Answers

6-4X = 12 + 2X
+4X. +4X
6= 12 + 6X
-12. -12
-6 = 6X

X EQUALS -1!

Please help! Asap.
I suck at this.
I need to find y

Answers

180 = x + y + 90

x = 180 - 115
x = 65

180 = 65 + 90 + y
180 - 65 - 90 = y
25 = y

Answer:

y° = 25°

Step-by-step explanation:

Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.  

According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles.  In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.

Solve for y:

Hence, we could simply solve for the value of y algebraically:

m∠y° + m∠90° = m∠115°

y° + 90° = 115°

Subtract 90° from both sides:

y° + 90° - 90° = 115° - 90°

y° = 25°

Double-check:

Verify whether we have the correct value for y by solving for x:

Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:

m∠115° + m∠x° = 180°

115° + x° = 180°

Subtract 115° from both sides:

115°- 115° + x° = 180° - 115°

x = 65°

According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.

Hence:

m∠x° + m∠y° + m∠90° = 180°

65° + 25° + 90° = 180°

180° = 180° (True statement).

Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.

6 short questions 50 POINTS

Answers

Answer:

KN be better

sons of if his

Original price of a puppy $159.95 Discount 15% Tax 8.725%?

Answers

Answer:

$124.095

Step-by-step explanation:

Discounted Price= $159.95- 15%of $159.95=$135.9575

Final Price= Discounted price + Tax

= $135.9575+ 8.725% of $135.9575

= $135.9575-$11.8622

=$124.095

A 6 sided die is rolled 2 times. What is the probability of getting a 1 both times ?

Answers

Answer:

Step-by-step explanation:  If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die

Find all factors of 27.​

Answers

Answer:

all the factors of 27 is 1, 3 ,9,and 27

1 , 3 , 9 , 27 hope that helps you

.Sort the numbers based on the number of significant figures they have.

Drag each tile to the correct location.

1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.

Answers

Let's check the significant figures one by one

[tex]\\ \sf\longmapsto 1,230=3[/tex]

[tex]\\ \sf\longmapsto 155.6=4[/tex]

[tex]\\ \sf\longmapsto 200=1[/tex]

[tex]\\ \sf\longmapsto 1245=4[/tex]

[tex]\\ \sf\longmapsto 8.88=3[/tex]

[tex]\\ \sf\longmapsto 22=2[/tex]

[tex]\\ \sf\longmapsto 136=3[/tex]

[tex]\\ \sf\longmapsto 8.880=3[/tex]

[tex]\\ \sf\longmapsto 0.01=1[/tex]

[tex]\\ \sf\longmapsto 20=1[/tex]

One Significant figure - 200, 0.01, 20

Two Significant figures- 22, 20.

Three Significant figures- 1,230, 8.88, 136

Four Significant figures- 155.6, 1,245, 8.880

PLATO

In your own words what does pi 7 mean if it’s right I’ll give you brainliest

Answers

Answer:

10

Step-by-step explanation:

Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035

Answers

Answer:

C 835Which of the following is equal to the expression below

This is a glucose molecule. How many hydrogen atoms are in a molecule of glucose? A) 10. B) 11. C) 12. D) 13

Answers

Answer:

12 for sure

Step-by-step explanation:

I just know

a ratio is a comparison between two or more numbers or quantities

a. True
b. False​

Answers

The correct answer is true

Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.

Answers

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?

Answers

Answer:

x(2+y)

Step-by-step explanation:

sum of 2 and y=2+y

product of x=x times expression

:. Answer =x(2+y)

Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3

Answers

Answer:

C

Step-by-step explanation:

the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)

Find the GFC of 72 and 64

Answers

Answer:

8

Step-by-step explanation:

GCF of 64 and 72 is 8.

I hope it helps you..

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?

Answers

Answer:

Yes.

Step-by-step explanation:

A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?


Answers

Answer: so either .64 or , .66,

Step-by-step explanation:

divide 3.86 by 6

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