Let the speed of the first train be v mph. Then the speed of the second train is:
(v + 50) mph.
Distance traveled by the first train from 3pm to 7pm = 4v miles.
The second train travels 4v miles in 2 hours (from 5pm to 7pm). Therefore the speed of the second train = (4v)/2 = 2v.
However the speed of the second train is also given by (v + 50) mph.
v + 50 = 2v
v = 50.
The speed of the first train is 50 mph and the speed of the second train is 100 mph.

4 0

3 years ago

You are preparing a trip to Canada at the time of your trip each US dollar is worth C$1.293 in each Canadian dollar is worth 0.7

Alla [95]

Answer:

$193.95 Canadian

Step-by-step explanation:

Multiply the US dollar amount by the exchange rate for CDN/USD:

150 × 1.293 = 193.95 . . . . Canadian dollars

7 0

3 years ago

3n + 7 - 11n - 31 = 160

Otrada [13]

Answer:

n = -23

Step-by-step explanation:

3n + 7 - 11n - 31 = 160

Step 1: Combine like terms

-8n - 24 = 160

Step 2: Simplify

-8n = 184

n = -23

6 0

2 years ago

Read 2 more answers

PLSSSS HELPPP>> Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2

vekshin1

Answer:

The solution is (-17,80.5) and (1,8.5)

Step-by-step explanation:

Equation 1 : $y=\frac{1}{2}x^2+4x+4$

Equation 2: $y = -4x+12.5$

Substitute the value of y from equation 2 in equation 1

Equation 1 : $y=\frac{1}{2}x^2+4x+4$

After substitution :

$-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2$

Substitute the value of x = -17

y = -4x+12.5

y = -4(-17)+12.5

y=80.5

Substitute the value of x = 1

y = -4(1)+12.5

y=8.5

Hence the solution is (-17,80.5) and (1,8.5)

5 0

3 years ago