Construct an equation that has k = 4 as its solution. Use k on both sides of the equation. =

Since our fractions have two different denominators of 2 and 4 in this equation, we can get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 4.

So we have .

Make sure you distribute the 4 through both

terms on both sides of the equation.

On the left, (4)(3/2k) is 6k and (4)(-7) is -28.

On the right, (4)(k/4) is k and (4)(-2) is -8.

So we have 6k - 28 = k - 8.

Now subtract k from both sides to get 5k - 28 = -8.

Now add 28 to both sides to get 5k = 20.

Finally, dividing both sides by 5, we find that k = 4.

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

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.