Answer:
Step-by-step explanation:
Remark
The two trains are travelling towards each other. That means that their total distance = 912 km. Neither one has gone that distance by itself. The effect this has on the question is that you add the two rates multiplied by time.
Givens
r1 = x
r2 = x + 12
t = 3 hours
d = 912 km
Equation
d = r * t
r1 * t + r2 * t = 912
Solution
3x + 3*(x + 12) = 912 Remove the brackets
3x + 3x + 36 = 912 Combine like terms
6x + 36 = 912 Subtract 36 from both sides
<u> -36 -36</u>
6x = 876 Divide both sides by 6
6x/6 = 876/6
x = 146 km/h
Answer
Slow train = 146 km/hr
Fast train = 146 + 12 = 158 km/hr
Step-by-step explanation:
____________________
Answer: y= -1
Step-by-step explanation:
Add 5 to both sides,
y-5+5=-9y-15+5
Simplify,
y=-9y-10
Add 9y to both sides,
y+9y=-9y-10+9y
Simplify,
10y=-10
Divide both sides by ten.
10y over 10 = -10 over 10
There you go!
Answer:
To solve this problem you need to take 5,371*27
To do this on paper you would line them up vertically where the 27 matches up with the 71 in 5, 371
You then multiply the 7 (from the 27) to all the digits in 5, 371 that should give you 37, 597
Then you add a 0 below the last 7 in 597
You now take the 2 and times it to all the digits in 5, 371, that should give you 107, 420
Now you would add those two number together
37, 597+107420= 145,017
5,371*27=145,017
Hopes this help explains things ;)
Step-by-step explanation:
If quantity t varies inversely with a quantity r ,
Then mathematically t α 1/r,
Introducing a constant, t = k/r .
When t = 6 then r = 5,
therefore, 6 = k/5
k = 6×5
k = 30 (Constant of variation)
Which means the equation connecting t and r will be t = 30/r
To find the value of t when r = 15, we use the equation of this variation
such that, t = 30/15
t = 2
