Answer:
2m + 10n - 2p
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(4m + 7n - 6p) - (2m - 3n - 4p)
<u>Step 2: Simplify</u>
- Distribute negative: 4m + 7n - 6p - 2m + 3n + 4p
- Combine like terms (m): 2m + 7n - 6p + 3n + 4p
- Combine like terms (n): 2m + 10n - 6p + 4p
- Combine like terms (p): 2m + 10n - 2p
Answer:
Actual volume = 40 cm^3.
Step-by-step explanation:
15% = 0.15 as a decimal fraction.
Let the actual volume be x cm^3, then we have the equation:
x + 0.15x = 46
1.15x = 46
x = 46 / 1.15
= 40 cm^3.
In order to determine the expression that should be multiplied to n^2 to get 5n^3, divide 5n^3 by n^2. First for the numerical coefficient, 5 divide 1 is 5. For the variable n, n^3/n^2 is n. Thus, the term that should be multiplied to n^2 is 5n.
