There are currently 20 members in the school's ski club and the dues are $10 per member. to encourage the recruiting of new members, the club treasurer suggests that for each new member recruited, the dues for all members will be reduced by 10 cents. write an equation in standard form to represent this situation.

Step-by-step explanation:

Let n represent number of new members and f(n) represent membership money.

We have been given that there are currently 20 members in the school's Ski Club. So when n new members join, the total number of members would be .

Since for each new member recruited the dues for all members will be reduced by 10 cents, so new dues would be .

The membership money would be number of total members times dues as:

Since we need our equation in standard form, so we will use FOIL to expand our equation as:

Therefore, our required equation would be .

to apply for that college regardless of the sat aveage

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240