Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{z}{5z^2 - 6z}$

View step-by-step help

View step-by-step help

Simplify radical expressions: mixed review

Full solution

Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{z}{5z^2 - 6z}

Simplify Fraction: Simplify the expression $\frac{z}{5z^2} - 6z$ by combining like terms. $\newline$ First, we need to simplify the fraction $\frac{z}{5z^2}$ . To do this, we can cancel out a $z$ from the numerator and denominator. $\newline$ $\frac{z}{5z^2} = \frac{1}{5z}$ $\newline$ Now, we have $\frac{1}{5z} - 6z$ .
Find Common Denominator: Find a common denominator to combine the terms. $\newline$ Since $\frac{1}{5z}$ and $6z$ do not have the same denominator, we need to find a common denominator to combine them. The common denominator is $5z$ . $\newline$ $\frac{1}{5z} - 6z = \frac{1}{5z} - \frac{(6z \cdot 5z)}{5z}$
Perform Multiplication: Perform the multiplication in the second term. $\newline$ Now, we multiply $6z$ by $5z$ to get $30z^2$ . $\newline$ $\frac{1}{5z} - \frac{(6z \times 5z)}{5z} = \frac{1}{5z} - \frac{30z^2}{5z}$
Combine Terms: Combine the terms over the common denominator. $\newline$ Now that we have a common denominator, we can combine the terms. $\newline$ $\frac{1}{5z} - \frac{30z^2}{5z} = \frac{1 - 30z^2}{5z}$
Simplify Numerator: Simplify the numerator. $\newline$ We can't simplify $1 - 30z^2$ any further since they are not like terms. $\newline$ So, the final simplified expression is $(1 - 30z^2)/5z$ .

More problems from Simplify radical expressions: mixed review

Question

\newline

\sqrt{\frac{9}{25}}

\newline

Posted 2 months ago

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 2 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 2 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 2 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 2 months ago

Question

\newline

500

=

Posted 3 months ago

Question

\newline

2,000

=

Posted 3 months ago

Question

\newline

750

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago