Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.
Answer:
<h3>
x = 1/2</h3>
Step-by-step explanation:
-3x + 1 + 10x = x + 4
-1 -1
7x = x + 3
-x -x
6x = 3
÷6 ÷6
x = 1/2
Answer:
-3
Step-by-step explanation:
Mean= 9+8+14+12+5+14 divided by 6
which gives you 62 divided by 6
which is 10.33333
rounded to 2 decimal point = 10.33
median= 12 and 14
Using algebra
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring 288using arithmetic...√288=16.97≈1716 and 18 are the integers (as well as -16 and -18)