Answer:
Step-by-step explanation:
1st way:
Solve directly
6p=0.6(5p+15)
Open bracket
6p = 3p + 9
Collecting like terms
6p - 3p = 9
3p = 9
Dividing by 3
p = 9/3
p = 3
2nd way:
6p=0.6(5p+15)
Convert the decimal to fraction
6p= 6/10(5p+15)
6p= 3/5(5p+15)
6p= 3/5(5p) +3/5(15)
6p = 3p + 9
Collecting like terms
6p - 3p = 9
3p = 9
Dividing by 3
p = 9/3
p = 3
Answer:
14.08 m
Step-by-step explanation:
Start by finding the area of the fence and the area of the garden. Garden- 10.1*4.2=42.42 Fence-11.3*5=56.5
Now subtract the two values. 56.5-42.42=14.08
Answer:
77.5 mph and 82.5 mph
Step-by-step explanation:
Let's say the speeds of the trains are x and x + 5.
The combined distance traveled by the trains is 480 miles.
480 = x × 3 + (x + 5) × 3
480 = 3x + 3x + 15
480 = 6x + 15
465 = 6x
x = 77.5
The speeds of the trains are 77.5 mph and 82.5 mph.
We can model the problem as follows: on a number line we put train A, with positive speed , at the origin x=0.
At x=480 we put train B, with negative speed .
So, the equations for the positions of the two trains are
We know that , so we can rewrite the first equation:
The two trains meet when they are at the same position:
We know that this happens after 3 hours, i.e. when t=3:
And since train A was 5 mph faster, we have