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2 years ago

Eurostar is a high-speed railway service connecting

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

6 0

Answer:

Step-by-step explanation:

This is simply a units conversion problem. 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.

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Miss Stevens drove through a total of 36 intersections on her way home from work last week at four of every 16 intersections Mis

Nostrana [21]

Answer:

8 intersections

Step-by-step explanation:

Miss Stevens drove through a total of 36 intersections on her way home from work last week.

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

This is calculated as:

36 intersections ÷ 16 intersections

= 2 4/16

= 2 1/4

At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .

4 of every 16 intersections = stop for a red light

Hence:

16/4 = 4 intersections

Hence: 4 intersections = 1 stop for a read

The number of intersections that Miss Stevens had to stop for a red light is:

2 × 4 intersections = 8 intersections

6 0

2 years ago

Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3

Masteriza [31]

To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                   -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 + (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

8 0

3 years ago

Read 2 more answers

Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 9 dogs and made a total of $51. Ho

Shalnov [3]

Use a system of equations.

(x=# of small dogs, y=# of big dogs)

x+y=9 (times by -5) -5x-5y=-45
5x+8y=51

Then add the equations together and the x's cancel.

3y=6
y=2

So he walked 2 big dogs and 7 little dogs.

6 0

3 years ago

A piece of paper can be made into a cylinder in two ways : by joining the short sides together, or by joining the long sides tog

julia-pushkina [17]

They hold the same amount i think

3 0

2 years ago

Helpppp please asappp

34kurt

Answer: i may be wrong but is it 4?

5 0

2 years ago