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Tasya [4]
3 years ago
5

Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than

the other. If they meet in 2 hours, what is the rate of each train?​

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

The speeds are 74 mph and 87 mph.  

Step-by-step explanation:

Let x = speed of slower train

     x + 13 = speed of faster train

 

The trains meet when the sum of the distances = 483

 

3x + 3(x+13) = 483

 

6x + 39 = 483

 

6x = 444

 

 x = 74 mph

 

The speeds are 74 mph and 87 mph.  

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Japanese 22 pirate for every two pirate ships he manages
Drupady [299]

Answer:

He should sell them he would be rich.

Step-by-step explanation:

3 0
3 years ago
What is 2.89 rounded to the nearest whole number
GuDViN [60]

Answer:

3

Step-by-step explanation:

The tenths is the closest to the ones places.There is more than 4 so we can add 1 to the whole number and take off the extras,and there you have it!

4 0
3 years ago
Read 2 more answers
Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger
posledela

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

−

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

−

x

)

1360

=

25

x

+

1560

−

30

x

1360

−

1560

=

25

x

−

30

x

−

200

=

−

5

x

x

=

−

200

−

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

−

x

=

52

−

40

=

12

∴

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.

8 0
3 years ago
If there are 800 students and 45% are girls, what is 45% of 800
Lina20 [59]
45%=0,45
800*0,45 = 360
8 0
3 years ago
Read 2 more answers
There are ​$528 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs ​$9 per
andrew-mc [135]

Answer:

  22 ft by 44 ft, with 22 ft parallel to the road

Step-by-step explanation:

Problems in optimizing rectangular area for a given perimeter or perimeter cost all have a similar solution: the length (or cost) of one pair of opposite sides is equal to that of the other pair of opposite sides.

Here, that means that the sides perpendicular to the road will have a total cost of $528/2 = $264, so will have a total length of $264/($3/ft) = 88 ft. Since it is a rectangle, the dimension perpendicular to the road is 44 ft.

Likewise, the sides parallel to the road will have a total cost of $264. If x is the length in that direction, this means ...

  9x +3x = 264

  12x = 264

  264/12 = x = 22

The length of the garden parallel to the road is 22 ft.

_____

If you solve this directly, you get the same result. Let x be the distance parallel to the road. Then the cost of fence for the two sides parallel to the road is (3x +9x) = 12x.

The length of fence perpendicular to the road will use the remaining cost, so that length will be (528 -12x)/(2·3). (Half of the remaining fence is used on each of the two parallel sides.) This expression for length simplifies to (88-2x).

Then the area of the garden will be the product of its length and width:

  area = x(88 -2x)

This is the equation for a downward-opening parabola with zeros at x=0 and x=44. The vertex is located halfway between those zeros, at x = 22.

The dimensions of the largest garden are 22 ft parallel to the road and 44 ft perpendicular to the road.

8 0
3 years ago
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