Solution:
1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2
2) Add 2 to both sides
y+2=\frac{x}{6}
3) Multiply both sides by 6
(y+2)\times 6=x
4) Regroup terms
6(y+2)=x
5) Switch sides
x=6(y+2)
Done!
Lily is not correct her answer is wrong.
Answer:
194.58$
Step-by-step explanation:
Have a great day! :)
Answer: 21, 23, 25
Step-by-step explanation:
Let the integers be y, y+2 and y+4.
From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:
y + 4(y+4) = 121
y + 4y + 16 = 121
5y + 16 = 121
5y = 121-16
5y = 105
y = 105/5
y = 21
Since y = 21,
y + 2 = 21 + 2 = 23
y + 4 = 21 + 4 = 25
The integers are 21,23 and 25
We will say that the eastbound cyclist is going x mph. This means that the westbound cyclist is going x+3 mph.
They are both cycling for 6 hours and end up 162 miles apart.
Distance=rate*time
6x+6(x+3)=162
6x+6x+18+162
12x=144
x=12
So, the eastbound cyclist is going 12 mph.
Remember the westbound cyclist is going 3 mph faster, so s/he is going 15 mph.
Hope this helps!!
