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anygoal [31]
3 years ago
9

Two trains 500 miles apart accidentally are on the same track heading toward each other. The passenger train is traveling 80 mph

while the freight train is traveling 40 mph. A dispatcher discovers the error and warns them 1 minute before they were to collide. How far apart, in miles, were they when they were warned?
Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

2 miles

Step-by-step explanation:

Their combined speed (speed of closure) is 80 mph + 40 mph = 120 mph.

120 mi/h = 120 mi/(60 min) = 2 mi/min

The distance between the trains at the 1-minute mark is ...

(1 min) · (2 mi/min) = 2 mi

They were warned when two miles apart.

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aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h
DIA [1.3K]

<span><span><span>Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)</span></span></span>
6 0
3 years ago
Use rounding or compatible numbers to estimate the sum 271 + 425
zysi [14]

Answer:

700

Step-by-step explanation:

For this one I'll do estimates. 271 estimated would drop down to 270. And 425 would bump up to 430. Adding 270 and 400 you would get a round number of 700!

Hope this helped.

4 0
3 years ago
Read 2 more answers
for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac
zloy xaker [14]
Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
6 0
3 years ago
The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o
ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is (7,2834)

Y-intercept is (0,4682)

X-intercept is (17.73,0)

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

y= -264\ x+4682

where y is the number of stores and x represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution (7,?)

For the ordered pair, we are given the x value which is =7 i.e 7 years after 1990. Thus we will plugin x=7 in the linear equation to get the y value which is number of stores after 7 years from 1990.

y= -264\ (7)+4682

y= -1848+4682

y= 2834

Thus the ordered pair is (7,2834)

To find y-intercept which is the point where the line touches the y-axis, we would plugin x=0 in the equation as the x-coordinate is 0 at y-axis.

y= -264\ (0)+4682

y= 0+4682

y=4682

Thus y-intercept is at point (0,4682)

To find x-intercept which is the point where the line touches the x-axis, we would plugin y=0 in the equation as the y-coordinate is 0 at x-axis and thus for x

0= -264\ x+4682

Subtracting both sides by 4682.

0-4682= -264\ x+4682-4682

-4682= -264\ x

Dividing both sides by -264

\frac{-4682}{-264}= \frac{-264\ x}{-264}

17.73= x

∴ x=17.73

Thus x-intercept is at point (17.73,0)

5 0
3 years ago
Hilda runs 2/3 of a mile in a half-hour. If she continues to run at a constant rate, how many miles will she run in 3 hours?
Naddika [18.5K]
2/3 a mile in half an hour
3 hours=6 x 2/3
6/1 x 2/3 = 12/3
12/3 =4 miles in 3 hours
5 0
3 years ago
Read 2 more answers
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