Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A $\frac{9}{2}$ -inch candle burns down in $9$ hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a $3$ -inch candle to burn down?

View step-by-step help

View step-by-step help

Compare and convert customary units

Full solution

Q. A

\frac{9}{2}

-inch candle burns down in

9

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

3

-inch candle to burn down?

Given information: We are given that a $4.5$ -inch candle burns down in $9$ hours. We need to find out how long it would take for a $3$ -inch candle to burn down, assuming the rate of burning is directly proportional to the length of the candle.
Calculate rate: First, we establish the rate at which the $4.5$ -inch candle burns. We divide the length of the candle by the time it takes to burn down completely. $\newline$ Rate $= \frac{\text{Length of candle}}{\text{Time to burn}}$ $\newline$ Rate $= \frac{4.5 \text{ inches}}{9 \text{ hours}}$
Calculate rate using values: Now we calculate the rate using the values given. Rate = $\frac{4.5 \text{ inches}}{9 \text{ hours}} = 0.5 \text{ inches per hour}$
Determine time for $3$ -inch candle: Next, we use the rate to determine how long it will take for a $3$ -inch candle to burn down. We divide the length of the $3$ -inch candle by the rate of burning. $\newline$ Time to burn = Length of candle / Rate $\newline$ Time to burn = $\frac{3 \text{ inches}}{0.5 \text{ inches per hour}}$
Calculate time for $3$ -inch candle: Now we calculate the time it would take for the $3$ -inch candle to burn down. $\newline$ Time to burn = $\frac{3 \text{ inches}}{0.5 \text{ inches per hour}} = 6$ hours

More problems from Compare and convert customary units

Question

\newline

1

2

\_\_\_\_\_

Posted 7 months ago

Question

710

milliliters of energy drink yesterday. How many liters of energy drink did he consume?

\newline

(Round your answer to the nearest hundredth of a liter.)

Posted 8 months ago

Question

A real estate purveyor purchases a

60

000

\left(\mathrm{ft}^{2}\right)

warehouse and decides to turn it into a storage facility. The warehouse's width is exactly

\frac{2}{3}

of its length. What is the warehouse's width? Round your answer to the nearest foot.

Posted 8 months ago

Question

3

cups (c) of flour to bake

2

loaves of bread. If

1

pound (lb) of flour is equivalent to

3 \frac{1}{3} \mathrm{c}

, how many loaves of bread can the baker make with a

10 \mathrm{lb}

\newline

(Round the answer to the nearest whole number.)

Posted 7 months ago

Question

\$ 2500

into a savings account.

\newline

The relationship between the time,

t

, in years, since the account was first opened, and Ella's account balance,

B(t)

, in dollars, is modeled by the following function.

\newline

B(t)=2500 \cdot e^{0.025 t}

\newline

What will the balance of Ella's savings account be after

4

years? Round your answer, if necessary, to the nearest hundredth.

\newline

\$

Posted 8 months ago

Question

Maya needs to rent a car while on vacation. The rental company charges

\$17.95

18

cents for each mile driven. If Maya only has

\$40

to spend on the car rental, what is the maximum number of miles she can drive?

\newline

\newline

(Round your answer down to the nearest whole mile)

Posted 8 months ago

Question

What is the area of a circle whose circumference is

1447

\pi=3.14

166698.73\,\text{m}^2

Posted 8 months ago

Question

What is the area of a circle whose circumference is

1447

\pi = 3.14

166698.73 \, \text{m}^2

Posted 7 months ago

Question

13

feet to meters using

3.281

1

\newline

Round answers to hundredths of meters (or

2

decimal places)

Posted 8 months ago

Question

14

feet to meters using

3.281

1

\newline

Round answers to hundredths of meters (or

2

decimal places)

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant