Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
Answer:
-20x+8
Step-by-step explanation:
Step 1: rearrange the equation
16x^2 - 3x^2 - 7x - 13x +8
Step 2: solve the equation
16x^2 - 3x^2 = 13x^2
-7x - 13x = -20x
(the +8 will stay the same)
so when we put it all together it gives us
13x^2 - 20x + 8
Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
$3,005.06 is the answer for the question
Old price: p1 = $ 3.90;
New price: p2 = $ 3.40.
The percentual decrease is given by
d(%) = [ (p2 - p1) / p1 ] * 100 %
d(%) = [ (3.40 - 3.90) / 3.90 ] * 100 %
d(%) = [ - 0.50 / 3.90 ] * 100 %
d(%) = - 0.128 * 100 %
d(%) = - 12.8 % (approximately)
So the price fell 12.8 % approximately.
I hope this helps. =)
