Step-by-step explanation:
(7x^4-4y^8)^2
Answer:
58
Step-by-step explanation:
2-2x-3y5
2-2(2)-3(-4)5
-2+60
58
Answer: speed other the slower train is 46 mph.
speed other the faster train is 56 mph.
Step-by-step explanation:
Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.
In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.
Distance = speed × time
Distance travelled by the slower train in 4.5 hours is
4.5 × x = 4.5x
Distance travelled by the faster train in 4.5 hours is
4.5(x + 10) = 4.5x + 45
Since the total distance covered is 459 miles, therefore,
4.5x + 4.5x + 45 = 459
9x = 459 - 45 = 414
x = 414/9
x = 46 mph
Speed of the faster train is
46 + 10 = 56 mph
<span>Simplifying
2x + 5 + 6x + -1 = 120
Reorder the terms:
5 + -1 + 2x + 6x = 120
Combine like terms: 5 + -1 = 4
4 + 2x + 6x = 120
Combine like terms: 2x + 6x = 8x
4 + 8x = 120
Solving
4 + 8x = 120
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 8x = 120 + -4
Combine like terms: 4 + -4 = 0
0 + 8x = 120 + -4
8x = 120 + -4
Combine like terms: 120 + -4 = 116
8x = 116
Divide each side by '8'.
x = 14.5
Simplifying
x = 14.5</span>
