Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Henry can write 5 pages of his novel in 3 hours.
At this rate, how many pages can Henry write in 8 hours?

Henry can write $5$ pages of his novel in $3$ hours. $\newline$ At this rate, how many pages can Henry write in $8$ hours?

View step-by-step help

View step-by-step help

Solve proportions: word problems

Full solution

Q. Henry can write

5

pages of his novel in

3

hours.

\newline

At this rate, how many pages can Henry write in

8

hours?

Calculate Rate: Henry's rate of writing is $5$ pages per $3$ hours. To find the rate per hour, divide the number of pages by the number of hours. $\newline$ Rate = $\frac{5 \text{ pages}}{3 \text{ hours}} = 1.6667$ pages per hour.
Find Total Pages: To find out how many pages Henry can write in $8$ hours, multiply his hourly rate by $8$ . $\newline$ Total pages = $1.6667$ pages/hour $* 8$ hours = $13.3336$ pages.
Round Down: Since Henry can't write a fraction of a page, we round down to the nearest whole number. Henry can write $13$ pages in $8$ hours.

More problems from Solve proportions: word problems

Question

What is the period of

\newline

y=\cos (-4 \pi x+3)-7 ?

\newline

Give an exact value.

\newline

Posted 10 months ago

Question

Mandy works construction. She knows that a

5

meter long metal bar has a mass of

40 \mathrm{~kg}

. Mandy wants to figure out the mass

(w)

of a bar made out of the same metal that is

3

meters long and the same thickness.

\newline

What is the mass of the shorter bar?

\newline

\mathrm{kg}

Posted 9 months ago

Question

21

6

minutes. She wants to know how many minutes

(m)

it would take her to eat

35

hot dogs if she can keep up the same pace.

\newline

How many minutes would Mika need to eat

35

\newline

Posted 9 months ago

Question

Elton is a candle maker. Each

15 \mathrm{~cm}

long candle he makes burns evenly for

6

\newline

If Elton makes a

45 \mathrm{~cm}

long candle, how long would it burn?

\newline

Posted 9 months ago

Question

Harvey the wonder hamster can run

3 \frac{1}{6} \mathrm{~km}

\frac{1}{4}

hour. Harvey runs at a constant rate.

\newline

Find his average speed in kilometers per hour.

\newline

kilometers per hour

Posted 9 months ago

Question

Aliyyah is playing a game using dice. Each player takes turns rolling and adding their roll to their score.

\newline

Aliyyah started with

-19

points and ended with

7

\newline

How many points did Aliyyah score during the game?

\newline

Posted 9 months ago

Question

A scale on a blue print drawing of a house shows that

6

centimeters represents

3

\newline

What number of centimeters on the blue print represents an actual distance of

27

\newline

Posted 9 months ago

Question

Reem is a test driver for an automobile company. The following formula gives the total distance,

d

, in feet that Reem drove a luxury car in the first

t

seconds after idling at a speed of

0

miles per hour, up to the time when she passed a particular safety cone.

\newline

d=15.69 t^{2}

\newline

Compared to the time it took Reem to pass the safety cone, how long did it take to pass a sensor that was

\frac{4}{9}

of the distance from the start?

\newline

1

\newline

\frac{16}{81}

of the time it required to pass the cone

\newline

\frac{4}{9}

of the time it required to pass the cone

\newline

\frac{2}{3}

of the time it required to pass the cone

\newline

\frac{9}{4}

of the time it required to pass the cone

Posted 9 months ago

Question

An ice cream cone maker wants to build a more stable cone by increasing the diameter and decreasing the height of the cone. The cone currently has diameter

d

centimeters and height

h

, as shown. They want the height of the new cone to be

h'

. Which of the following is closest to the smallest radius the new cone can have so that the volume is at least the volume of the old cone?

Posted 8 months ago

Question

Victoria is shopping for thank-you notes at Sweet Greetings. She is trying to decide between the three different packages of notes shown below.

\newline

1

8

\$6.00

\newline

2

30

\$12.00

\newline

3

12

\$6.00

\newline

If Victoria is looking for the best deal, which package of thank-you notes should she buy?

Posted 8 months ago

Related topics

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