Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Our school bought 300 Pencils for $75. They came in boxes of 12 Pencils. How much did each box cost?

Our school bought $300$ Pencils for $\$75$ . They came in boxes of $12$ Pencils. How much did each box cost?

View step-by-step help

View step-by-step help

Ratio and Quadratic equation

Full solution

Q. Our school bought

300

Pencils for

\$75

. They came in boxes of

12

Pencils. How much did each box cost?

Calculate total number of boxes: Calculate the total number of boxes by dividing the total number of pencils by the number of pencils in each box. $\newline$ Total pencils = $300$ $\newline$ Pencils per box = $12$ $\newline$ $\text{Total boxes} = \frac{\text{Total pencils}}{\text{Pencils per box}}$ $\newline$ Total boxes = $\frac{300}{12}$ $\newline$ Total boxes = $25$
Calculate cost per box: Calculate the cost of each box by dividing the total cost by the number of boxes. $\newline$ Total cost = $\$75$ $\newline$ Number of boxes = $25$ $\newline$ $\text{Cost per box} = \frac{\text{Total cost}}{\text{Number of boxes}}$ $\newline$ Cost per box = $\frac{75}{25}$ $\newline$ Cost per box = $\$224$

More problems from Ratio and Quadratic equation

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 1 month ago

Question

g(x)

g(x)

is the translation

5

f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

h

k

\newline

g(x)=

Posted 1 month ago

Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 1 month ago

Question

Write the equation of the parabola that passes through the points

(1,0)

(2,0)

(3,\text{–}16)

. Write your answer in the form

y = a(x – p)(x – q)

a

p

q

are integers, decimals, or simplified fractions.

\newline

Posted 1 month ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

f^2 + 8f + \_\_\_\_\_

Posted 1 month ago

Question

h

\newline

h^2 + 39h = 0

\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

\newline

Posted 1 month ago

Question

Write a quadratic function with zeros

-9

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

f(x) = \_\_\_\_\_

Posted 2 months ago

Question

Find the equation of the axis of symmetry for the parabola

y = x^2

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 2 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 2 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 2 months ago