First, you replace x with -3.
It will look like -3/3.
Then you divide and get -1.
The member pays $9.50 to take a boat out,
plus $105 just to be a member.
Let's call ' R ' the number of rentals
Member Cost = (9.50 times R) + 105
Non-member cost = (14.75 times R) .
You're interested in when their costs are equal,
so at that point, we can write ...
Member cost = non-member cost
9.5 R + 105 = 14.75 R
Subtract 9.5 R from each side: 105 = 5.25 R
Divide each side by 5.25 : 20 = R
If you're going to rent a boat less than 20 times during the
Summer season, rent them at the non-member rate.
More than 20 times in 1 Summer, you'll save money by being
a member.
This sounds a bit extreme to me. If the Summer season means
ALL of May, June, July, August, and September, then you would
need to average more than one rental every 7.65 days ... a hair
more than one a week ... in order to save any money by being a
member. I love sailboat rental, and I live just 2 miles from Lake
Michigan, but even at these prices (cheap), I would never average
a rental every week for 5 months. So for me, there would be no
benefit in a membership ... at least not in the cost of boat rental.
========================================
Another way to do it, with more brain but less algebra:
Each time a member rents a boat, he pays (14.75 - 9.50) = 5.25
LESS than a non-member would pay to rent the same boat.
But in order to get that deal, he had to pay $105 "up front", at the
beginning of the season, before he ever rented anything.
How many times does he have to 'save' $5.25 before he makes up
for the the $105 ?
($105) / ($5.25) = 20 times .
The expression for the height is (3k - 5)
Factorise the equation 6k^2 - 13k + 5
One is given : (2k-1). When factorising, you must make sure that you are obtaining the given equation.
Here, to get 6k^2, 2k is multiplied with 3k. The other factor is (3k-x)
Now, let's find x. From the factors (2k-1) (3k-x) how to obtain 13k?? Simple...
3k×-1 + 2k×x = 13k
-3k + 2kx = 13k
-3k + 2k(-5) = -3k + -10k = 13k
So the other expression is (3k-5) which is the height.
Answer:
your answer gonna be the letter D 20
Answer: There are several information's of immense importance already given in the question. Let us write them down first.
Diameter of the cylinder = 6 inches
Then
Radius of the cylinder = 3 inches.
Height of the cylinder = 3 * radius
= 3 * 3
= 9 inches
Volume of the cylinder = (pi) * (Radius)^2 * Height
= 3.14 * (3)^2 * 9
= 3.14 * 9 * 9
= 254.34 cubic inches
