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
Answer:
a), b), e)
Step-by-step explanation:
<em>a) -30(3 + 2w) = -90 - 60w</em>
<em>b) (-9 − 6w) x 10 = -90 - 60w</em>
c) -3(30 - 20w) = -90 + 60w
d) (6 + 4w) × 15 = 90 + 60w
<em>e) −20(4.5 + 3w) = -90 - 60w</em>
Answer:
<h2>
43°</h2>
Step-by-step explanation:
The sum of measures of angles in triangle is 180°, so the measure of the ohter acute angle:
180° - 90° - 47° = 43°
-5(x+8)-3x
simplified would be
-8x-40
Answer:
D
Step-by-step explanation:
