A store sells two kinds of candles, scented candles and unscented candles. The candles burn at different rates which kind of candle burns more in one hour? How much more per hour? The scented one burns 1/8inch an hour 1/4 hour and the unscented one burns 1/9 inch in 1/3 hour. SHOW WORK

Step-by-step explanation:

The first thing we must observe is that the hourly rate for each candle is:

scented candles:

(1/12) / (20/60)

Simplifying:

= (1/12) / (10/30)

= (1/12) / (5/15)

= (1/12) / (1/3)

= (3/12)

= (1/4) inches / hour

Unscented candles:

(1/6) / (30/60)

Simplifying:

= (1/6) / (15/30)

= (1/6) / (3/6)

= (1/6) / (1/2)

= (2/6)

= (1/3) inches / hour

The unscented candles burn faster at a rate of:

(1/3) inches / hour.

the answer is 24

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3