An overzealous student burns a candle at both ends. one night she lights the top and bottom ends of a candle at the same time. the candle is cylindrical: 10 inches long and with a radius of 0.5 inches.. if the top flame burns down at 1.4 inches per hour and the bottom lame burns up at a rate of 2.1 inches per hour,

a: how far from the top do the flames meet?
b: how can she get the flames to meet up in the middle of the candle by lighting the ends at different times?

A. the distance covered by both ends = top distance+bottom distance

1.4 inches + 2.1 inches =3.5 inches

so each hour, both ends cover 3.5 inches

he time it'll take to burn the whole candle

10 inches/ 3.5 inches =2.857 hours

to find out how far from the top the flames meet,

1.4 inches x 2.854 hours = 4 inches

B. the middle of the candle is 10/2 = 5 inches

to meet at the middle, she should start

Top: 1.4 inches × x hours = 5 inches

       x hours = 5/1.4 = 3.571 hours

Bottom : 2.1 inches × x hours = 5 inches

              x hours = 5/2.1 = 2.38 hours

A. the distance covered by both ends = top distance+bottom distance

1.4 inches + 2.1 inches =3.5 inches

so each hour, both ends cover 3.5 inches

he time it'll take to burn the whole candle

10 inches/ 3.5 inches =2.857 hours

to find out how far from the top the flames meet,

1.4 inches x 2.854 hours = 4 inches

B. the middle of the candle is 10/2 = 5 inches

to meet at the middle, she should start

Top: 1.4 inches × x hours = 5 inches

       x hours = 5/1.4 = 3.571 hours

Bottom : 2.1 inches × x hours = 5 inches

              x hours = 5/2.1 = 2.38 hours

87%

step-by-step explanation:

apex answer

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