Modeling and solving a problem: an isosceles triangle has two sides of equal length. the third side is 5 less than twice the length of one of the other sides. if the perimeter of the triangle is 23 cm, what is the length of the third side? explain how you would define a variable for this problem.

The third side is 9 cm long

Let represent one of the equal sides. Then the` other side will be .

Adding all the length of the sides should give 23. Thus,

This implies that,

We group like terms and simplify to obtain.

Divide through by 4 to get

Hence the length of the other side is

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get