Questions: Simplify the expression. 7 m^3 + 2 3/4 - 6 m^3

Simplify the expression. 7 m^3 + 2 3/4 - 6 m^3
Transcript text: Simplify the expression. \[ 7 m^{3}+2 \frac{3}{4}-6 m^{3} \]
failed

Solution

failed
failed

Solution Steps

To simplify the given expression, we need to combine like terms. The terms involving \( m^3 \) can be combined together, and the constant term can be simplified separately.

Solution Approach
  1. Identify and combine the like terms involving \( m^3 \).
  2. Simplify the constant term \( 2 \frac{3}{4} \) to a decimal or improper fraction.
  3. Combine the results to get the simplified expression.
Step 1: Combine Like Terms

First, identify and combine the like terms in the expression. The given expression is:

\[ 7m^3 + 2\frac{3}{4} - 6m^3 \]

The like terms here are \(7m^3\) and \(-6m^3\).

Step 2: Simplify the Like Terms

Combine the like terms \(7m^3\) and \(-6m^3\):

\[ 7m^3 - 6m^3 = (7 - 6)m^3 = 1m^3 = m^3 \]

Step 3: Simplify the Constant Term

The constant term in the expression is \(2\frac{3}{4}\). Convert the mixed number to an improper fraction:

\[ 2\frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4} \]

Final Answer

Combine the simplified terms:

\[ m^3 + \frac{11}{4} \]

Thus, the simplified expression is:

\[ \boxed{m^3 + \frac{11}{4}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Convert 39 liters to gallons using unit fractions. Round your answer to the nearest thousandth, if necessary.
failedAnswered
4 You are working as part of a high-performance BLS team. Which roles would you and the other providers most likely fill? Select all correct options that apply. Compressor AED operator Airway manager/ventilator Team leader Environmental technologist Communications specialist
failedAnswered
Multiple Select Question Select all that apply Which of the following are recent trends with respect to cohabitation? Cohabitation rates have been increasing. The majority of cohabiting couples go on to get married. Women with college degrees are more likely to cohabit than those without degrees. Couples are less likely than before to see cohabitation as leading to marriage.
failedAnswered
Atoms, Ions and Molecules Predicting the ions formed by common main-group elements Complete the table below. For example, in the first row decide whether Sc^3+ is a lithium is mostly likely to form and then decide what type of ion it is. element most likely ion ------------ symbol of ion type of ion scandium Sc^3+ cation anion lithium cation anion chlorine cation anion oxygen cation anion strontium cation anion
failedAnswered
There are continuous popups that cannot be closed. The homepage, toolbars, and icons change without permission. Unexpected webpages open. Other people receive messages from you that you did not send. You cannot access the device's control panel. The computer crashes and displays errors. You are unable to shut down or restart the device.