Ared candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue cans is 6 inches tall and burns at a rate of 1/5 inch per hour. after how many hours will both candles be the same height (i just need the equation )

8 - (7/10)t - 6 -(1/5)t

Step-by-step explanation:

Let t = time in hours.

The red candle starts with a height of 8 inches.

After 1 hour, the height, in inches, is 8 - (7/10)(1).

After 2 hours, the height, in inches, is 8 - (7/10)(2).

After t hours, the height, in inches, is 8 - (7/10)t.

The blue candle starts with a height of 6 inches.

After 1 hour, the height, in inches, is 6 - (1/5)(1).

After 2 hours, the height, in inches, is 6 - (1/5)(2).

After t hours, the height, in inches, is 6 - (1/5)t.

Since we want an equation for when the heights are equal, we set the two expressions above equal.

8 - (7/10)t - 6 -(1/5)t

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get