All categories

3 years ago

Eurostar is a high-speed railway service connecting

Mathematics

1 answer:

zvonat [6]3 years ago

5 0

Answer:

730 trains are adequate to carry 350000 passengers.

Step-by-step explanation:

It gives us for the number of passengers, the number of seats per carriage and the number of carriages per train. To change the units from passengers to trains without changing the value, we use the multiplicative identity (that is, 1).

350000 passengers

(350000 passengers) * 1

(350000 passengers) * ((1 carriage)/(32 passengers)) * ((1 train)/(15 carriages)

[note: passengers and carriages cancel. Leaving only trains]

(350000)*(1/32)*(1/15) trains [note: I write this way to paste into MS Excel]

729.1667 trains [oh, but don’t just round this number either up or down]

729 full trains can carry 729*32*15 = 349920 passengers

730 full trains can carry 730*32*15 = 350400 passengers

Now, we can say that 730 trains are adequate to carry 350000 passengers.

You might be interested in

Determine whether the given value is a solution of the equation. 28-w=25; w=3

nadya68 [22]

Answer: w=1+1/13

Step-by-step explanation:

6 0

2 years ago

Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou

Dominik [7]

we know that

the area of the rectangular banner is equal to

$A=W*h$

where

W is the wide of the banner

h is the height of the banner

in this problem

$W=2\frac{1}{4} \ yards=\frac{(4*2+1)}{4} =\frac{9}{4} \ yards$

$A=1\frac{1}{2} \ yards^{2} =\frac{(1*2+1)}{2} =\frac{3}{2} \ yards^{2}$

In the formula of the area solve for h

$A=W*h\\ \\ h=\frac{A}{W}$

Substitute the values of W and A

$h=\frac{\frac{3}{2}}{\frac{9}{4}} \\ \\ h=\frac{2}{3} \ yards$

therefore

the answer is

the height of the banner is $\frac{2}{3} \ yards$

4 0

3 years ago

Read 2 more answers

You work for a manufacturing company and have just completed the budget process for the upcoming business year. At the end of th

fiasKO [112]

Answer:

eeeeeeeeee

Step-by-step explanation:

3 0

2 years ago

Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is

Varvara68 [4.7K]

Answer:

Find the theoretical probability that you will choose each color. P(green) = ___/___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.

Step-by-step explanation:

6 0

3 years ago

PLEASE I NEED HELP ASAP

Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)