Mary can make a costume twice as fast as Sam can. If they both work together, they can make it in 6 hours. How long will it take Mary to make the costume if she works alone?

9 hours

Step-by-step explanation:

Assume the following :

Sam's rate = y for the costume

Mary is twice as fast as Sam; therefore,

Mary's rate = 2y for the costume

If Sam and Mary both work together, it will take them 6hours to make the costume.

Their rate = 1/6

That is,

y + 2y = 1/6

3y = 1/6

18y = 1

y = 1/18 ; taking reciprocal to get time taken = 18 hours

2y = 2/18

2y = 1/9 (9 hours (reciprocal)) timetaken by Mary.

Time taken by Sam = 18 hours

Time taken by Mary = 9 hours

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

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